This makes me so excited... I'm a dropout because I had a lot on my emotional plate, not because I didn't love learning. To see something like this has me really excited to take control of learning the things I missed from school. This is a gift, thank you :)
My guy, I'm in exactly the same position as you. I love learning about STEM topics, but I dropped out of uni due to mental health issues. It's great to know that I'm not alone in this.
@@HairTiesForGlorfindel No, not at all. Even for "math people" it's written in a way that refers to other fields like physics so that it does not read in a satisfying or self-contained way. It's bloated in that sense, with statements that are outside the scope of the mathematics topics being taught, and you won't be able to make much sense of them unless you know those other fields. Kinda frustrating and unsatisfying. This started happening after Thomas dies and the publisher kept putting out new editions with new "co-authors". It seems they all wanted to add in their applications or something in the reading. I think 6th edition and earlier is still great. The problems are fine, standard. They do a nice job with series in distinguishing b/w power series in general and series generated by functions and on which intervals do those series converge to those functions. I would say it's better or clearer than Larson in that sense. Otoh, new series from old can be understood or developed with little-oh notation and algebra, but it's not. Anyway, self-study out of high school for the average student I'd go with Larson first. The problem sets are better organized and the text is effectively self-contained. You'll have a hard enough time developing the discipline to regularly self-study; no need to buy a bunch of calculus books. Stewart's fine for a different take sometimes or for more problems (you really don't need more than what Larson provides to learn the subject at the college level). Stewart contains problems though that cannot be done by reading Stewart if you know what I mean; you'd have to be guided or shown a "trick" or know what it means to prove something practically (again, I find this annoying and demoralizing when it's not clear from the reading what they're looking for in an answer, at least at this level of math). The new Thomas like I said is bloated in a sense now, so while some sections are "better" from a mathematical perspective (like series), this book does not make you like math. Briggs is an AP high school book.
The Stewart book has a two-volume solution book (at least the old second edition that I have does). It's still only the odd problems, but it goes into more detail about how to solve them, rather than just giving the answers.
I taught calculus by Stewart, it is a good book. I heard good comments of Larson's book. I didn't know of the third book in your review. From your video those three books are almost identical, but I liked the book of Larson's because it contains biographies of mathematicians and it has the best presentation.
I do like Ron larson’s textbook better. For example, in the Stewart book, they do not teach integration by parts in tabular method. Ron Larson does teach that… so yeah lol
@@CliffSedge-nu5fv hi, thank you for your comment. All those books are written for advanced high school students (AP calculus) and beginners calculus courses at universities. That is the main reason of their great success...they are designed as learning tools.
Alas, I miss math. I used to be pretty good at it. I got sort of disillusioned in grad school studying abstract algebra and topology, wondering what it was all for and feeling like I was just pushing symbols around. I finished my MS, but then spent the next 32 years in a computer support/coding job forgetting everything I knew. I'm retired now, but a medication I take seems to have clouded my "math mind" even further, which makes it difficult to "see" all the stuff I used to be able to just see easily. And now that I'm thoroughly depressed, I subscribed to your channel to see if it might help.
I have just gone back to reading math books at nighttime. I used to watch lots of math tutorials, while neglecting to read books. Now, math books are my idea of bedtime storybooks. I have James Stewart's books. Inside pages, I keep loose slips of A5 papers with notes and examples of problems & solutions (some copied from tutorials, Math Stackoverflow, Quora, etc). They are handy bookmarkers.
Math books are my idea of bedtime storybooks, too (also physics & chemistry). Are we weird or what? NOBODY else I know would even begin to understand why one would want to read a math book. Most people I know, even college graduates, can't even manipulate simple fractions.
I've always thought these thick calculus books are the pinnacle of paper-print technology, but I much prefer to study from black-and-white books with a simple, one-column layout, like Apostol, Courant, Piskunov, and so on.
If you're considering the Stewart Calculus book, you should know that there are several versions. At least for the 8th edition, "Calculus" and "Calculus: Early Transcendentals" are basically the same apart from when the exponential, logarithmic, and inverse trigonometric functions are covered, and "Essential Calculus" is much briefer. For someone doing self-study, the first two books should be pretty much interchangeable, so buy whichever you can get the best deal on.
@@tzachs_ Early. It's logically correct to cover transcendentals "later", but pedagogically it's a disaster. You already know properties of logs, exponential functions, and inverse trig functions; their calculus definitions will probably not be appreciated until 'after' calculus as bizarre as that sounds. It's like learn how to drive, then learn about the engine sorta. You also learn about nonelementary functions like some integral functions in calculus, but they're hardly ever appreciated at first b/c they're not used in calculus much per se. When you move to analysis or functional analysis or even mathematical logic you'll start to really refine your intuition about functions more, and come to see the subtleties. In the meantime, you need to just learn to read math (so read your calculus book very closely) and develop a geometric understanding of calculus while reading so you can see things in your mind's eye and develop your focusing and concentration abilities.
I've been slowly working through Larson's book in my free time for self study for the last year and have found some explanations lacking at times. But in those cases I find it helpful to seek out additional resources online like Khan Academy for further explanation. I also work through the odd problems if I'm understanding the material and getting the answers right. If I start struggling with particular sections I'll work through the even problems as well and, with some digging, can usually find the answers online.
I got the one year subscription. Brilliant is not a website to learn a whole topic. It gives you exposure to some hard topics and would recommend if you want to understand the topics if you don’t know where they come from. So it’s made for people who want to stay sharp and kinda prepare you for all the future courses. Yeah if you just want to see what math is about I would recommend brilliant.
My experience with Stewart and Larson is the same as you! I learned calculus with Stewart and have taught AP Calc now out of a couple different editions of Larson. I think they’re both great but not perfect. Before I was introduced to Larson, I kept my copy of Stewart handy at all times for tutoring requests - I see your point that the explanations aren’t always fleshed out for a beginner but going back to it later, there is plenty of discussion in the examples to look at.
Hello brother, I am a high school student and I am currently in a report year because next year I must determine my destination for the future and I hope to become an international doctor. Do you have any advice for me and the books you were reading, because I need the calculus book a lot, but your comment, I don't know, didn't stop me. Take a closer look at the mentioned book. Can you tell me about the book you used?
I have gone through two of those books but still as a student I found this book very helpful : Thomas' Calculus - Joel R. Hass, Christopher E. Heil and Maurice D. We
This video really helped me...I would say this video made me sigh...I skipped 11th grade [passed but not attended class(which were introduction to Calculus)].....now I'm at 12th, I was really nervous about my future, as if I couldn't understand higher class math, if I want to do other jobs 😢,..... And now I'm okay.......I like watching videos of yours about self study, learn Calculus from hom beginning to end, your failures, your worries etc....
"The Calculus" 982 pages by Leithold (no longer in print) -nearly 90 years old is STILL the "Bible" of calculus textbooks. Learn everything in it, and you're more than ready for Differential Equations without a "make-up" class like most Universities today require (like my cousin teaches for Okra-Homer U and Okra-Homer State U to medical students). I passed The Calculus and Diff E at Tulsa Jr. College and tested out of it at O-Sheeet U Stillwater after my stint in the Air Force as a Microwave Tech. Raytheon and Fairchild guys liked that I knew math behind what I was training for.
meh I actually kinda hate how Leithold actually glosses over Vector Calc by stating that the proofs of the vector calc theorems are instead reserved for an advanced calc course while the other books like Thomas/Finney did their very appreciable best in explaining the proofs within simple Calculus level...
I took a class with the third book teacher Mr. Schulz and yes of course he is very smart but what made him special was his kindness and approachability. He just wants to share how beautiful math is. Top tier lecturer.
Here's a few I recommend: 1. Morris Kline's Calculus: An Intuitive and Physical Approach. 2. George Simmon's Calculus with Analytical Geometry. Kline's is like Calculus Made Easy by Silvanus Thomson but made into an actual text book. It covers calc 1, multivariate calc, differential equations, it also goes into analytical geometry more than modern textbooks do. I tend to find older calc books go more into analytical geometry than modern ones. Kline's is also cheap. One thing I find lacking in Kline's book is his proof of the chain rule. Kline sidesteps the whole epsilon-delta segment of calculus. Kline also develops both the derivative and integration at the same time. Integration is basically the reverse operation of differentiation, which is not the traditional way it is taught (as area underneath the curve). Some problems are best thought of as area underneath the curve instead of the reverse of the derivative. In those cases, integration as a reverse process of derivatives can get rough going. But overall, I think this is a good book. Simmon's does not cover as much as Kline's,. It only covers calc 1. Like Kline, it covers analytical geometry better than modern texts. Also Simmon's prose, and proofs are terse, but clear. Kline tends to be wordy to the point of annoying. Simmon's book and his solution manual is available free if you look for it. Simmons problems are tougher, in my opinion. Kline's problems are not as tough. Simmons covers things like deriving Kepler's Laws of Motion which is really impressive to me at least, b//c I don't usually see this covered in modern treatments of calculus. Right now, I am using both as self-study for multiple purposes: machine learning (these two books are overkill for that), to prep myself for Nahin's books on integrals, and to prep for Spivak's book on calculus.
@@andyiswonderful Yes, I've seen them. I have not read them... yet. They are on my bucket list of math books to tackle. But, before it are Stilwell's books and Howard Eve's Survey of Geometry. You know who else is good? William Dunham.
This video reminded me why I used to love maths generally, and calculus specifically. My brain is old now, but I guess I might enjoy running through some of the more elementary problems in James Stewart's book.
All of the libraries in Las Vegas have used book stores where I picked up both the Stewart( edition 5e )and Larson text for one dollar a piece. Also got a physics text for a dollar in great condition.
In my experience Howard Anton's "Calculus" beats James Stewart's book in terms of readability, thoroughness and completeness of examples, and the problem sets. The particular editions that I had to study at university are long out of print. I cannot compare their current editions because I am not familiar with them.
I loved his Elem. Linear Algebra book as a first course. So well written and problems at the perfect level. The trend these days is to push for vector spaces right out of the gate using the axiomatic definition which is a shame. Anyway, I would trust his Calc book, and your comment seems to reinforce my own feelings.
We used Anton's "Calculus with Analytic Geometry"....my copy, which I have kept all these years, is a first edition. As far as trying to teach yourself using these texts, remember, these are meant to be used in a three semester course of study, and presume a very high level of aptitude and motivation...it's a course of study intended for students pursuing degrees in mathematics, engineering or the natural sciences. Meaning, if you are self-studying, TAKE YOUR TIME. Give yourself at least a year to get the basics of derivative techniques (chain rule, product rule, quotient rule, implicit derivatives) and integration techniques (u-substitution, integration by parts, partial fractions, trig substitution). Fight the urge to skip ahead.
@@MikeB3542 Anton's calculus textbook was ideally-suited to self-study especially if you studied every example and worked every problem in each section as well as the end-of-chapter problems. Earned an 'A' in the course (bi-weekly tests, mid-term, and final examination). Your advice to take your time is 100% correct. A pace of one or two weeks per chapter is reasonable if someone studies 3-6 hours each week - similar to a regular semester schedule.
In college years ago I had a 1963 Rambler. One day I closed the trunk, and a stick blocked it and bent the trunk lid. Then when I moved, the car got rained on, and the trunk leaked on my calculus textbook I had studied so vigorously, and ruined it. It was not only thick before, but now with water soaked pages, it was *really* thick! I remember from my college days concluding actually how bad so many of the textbooks actually were. So many were particular versions a professor or department required and in the end we realized it was specified so somebody could reap the income from selling the books. Students sometimes researched textbooks to identify what were considered the classics, and sought to obtain those for learning and for reference. The takeaway is, if you are really going to get to know a subject, you not only have to learn the material, you really need to learn how the discoverer of the material approached it when he came to discover it. Now *that* is *really* learning!
I used "Calculus" (1980) by Marsden & Weinstein as a Freshman. It starts with a nice review of analytic geometry and concludes with a chapter on vector analysis and lots of other goodies in between, including differential equations. It contains lots examples and solved problems within the text and problems at the end of each section and chapter, so there is plenty to practice. Two-inches and 800+ pages of Calculus!
Bruce Edwards co authored the Larson Calculus book. Bruce Edwards is a lecturer of a bunch of math courses by TTC. Calculus being one of them. His Calculus course is not as thorough as The Math Sorcerer's two Calc 1, Calc 2 and Calc 3 courses on Udemy, but worth watching. For that reason I would say that the Larson book is the best of the three.
The problem with all of these and others, too, is that the worked out solutions are not generally available to the public. Just having the answers in the back isn't good enough if you're doing self-study; you want to see how and where you might have erred. That's why I like the Larson/Edwards. There's a comprehensive website for all of their calc books with the detailed, worked out solutions to the odds. Plus, Edwards made two terrific sets of DVDs that are great for learning AP Calculus AB and BC.
At one point I was really fired up about self-study and I actually learned quite a bit. But now I'm not feeling it as much. I'm a bit more career-focused now rather than focused on personal enrichment. I think I just go through these things in waves.
I've often wondered, not just from my own case, but since you mention the variable understanding, then not understanding, if this isn't from the mind getting tired and refusing to translate the information. I know in my case, my mind when it gets tired starts lying to me saying it can't do something that the next day it does just fine.
There is a century old book called "Calculus the easy way" that I recommend to any teenagers interested in self-studying. It's much better to learn math on your own than in a class, where grades create a false sense of pressure and the teacher has to draw things out to fill time.
Do you recommend doing all the problems in James Stewart's Calculus book for practice for the math GRE? Currently doing my Masters and got over a year and a half to refine my Calc skills for it. Its not that calculus is hard, I got my fundamentals down its just gotta learn all the tricks to solve some difficult integrals.
It can't hurt, the more math you practice the better. If you want to integrate, then integrate:) If you can find old practice GRE's that helps too. Good luck!!
Just took the GRE . There is NO calculs- only algebra, geometry, arithmetic and data interpretation. All very basic . What makes it difficult is there are so many twisted booby traps that will lead you into long tedious calculations that will waste your time when there is a simple hidden solution that requires little to no calculation at all .
@@patrickgambill9326 yes it is separate . OP just said “ math. GRE “ , did not really specify which one .. I assumed he was taking about the quantitative reasoning section
I have Early Transcendentals for my college class. They said were are using it all the way to Calc 3 so thankfully they save me some money I am not good with reading comprehension so I feel like that itself makes it hard to read a math textbook but I have been trying to prepare myself for Calc 2 for the Fall!
I kinda like openstax, but if I had not taught myself calculus from book years ago that would not have been the “ friendliest” self learning tool. Just to be honest, with RUclips and textbooks calculus would be a lot easier nowadays, BUT something is to be said about the teacher giving you work assignments and test that you have to do AND giving you feedback. Had a “future “ engineering student complain about how hard greens theorem was at a cafe/restaurant in the early 90’s. Went over to look at his problems and he had 4 out of 10 problems wrong( something like that). Green’s theorem was not his issue on them, but changing his region on double integrals . He blame his professor, but I pointed out the area in his textbook that plainly explained how to do it. A professor only has so much time and he was no longer in grade school…. Pick up the book and learn.
Had a strange dream last night. I was in a library ( dream about being in libraries quite a lot); it was just before closing time, and the librarian suddenly announced to my friend and I that we could purchase ANY of the books in the library for 5 UK pounds. I did a quick search on the library computer to see if they what books they had on Calculus and Algebra. I saw two thick books, thought that 5 pounds was a bargain, and then headed for the shelf destinations, 2KE, HK and HJ. But as I pulled the books out, I could find neither, got really confused and started frantically pulling books from the shelves. I found some book on Astronomy and was totally confused. Then the closing bell rang and I got up to leave; confused and disappointed.
i don't really get why sequences and series are after derivatives and integrals. they are a more fundamental topic (meaning that less knowledge is required to study them, compared to derivatives and integrals) and is directly used to define those two.
Yeah, I have the latest edition from Stewart and Lawson. I got a recent edition of Thomas, but I don't have a Briggs. So I ordered the 3rd Edition along with the Student Solution Manuals.
@@mudaxt2223 Ouch! Between Stewart, Larson and Thomas, well, I would eliminate Thomas. I remember seeing SOMETHING in Larson that wasn't in Stewart, but Stewart has been my GO TO book, and I do Larson after I've already read through Larson, and did the exercises. I ordered the Briggs book, published by Pierson, who also publishes Thomas, and so I'm wondering now whether the latest edition of Brigs might be VERY SIMILAR to the 2018 Edition of Thomas i got. Stewart and Larson are both published by Cengage Learning and I like their Textbooks. BUT, if you are going into Calculus for the first time, well, HOW IS YOUR Algebra and Trig? Really Calculus is just some New Principles you need to learn but all the WORK is using Algebra and Trig like you a MAGICIAN. I am all the time telling myself "You Can Do Anything With Algebra" but you have to REALLY KNOW Algebra.... the same for Trig. Algebra and Trig need to be Second Nature... they're the Tools you will using and your Tools need to be SHARP.
Briggs' is the easiest to read along. Stewart / Thomas' are for those with strong precalc background. Advanced students keep coming back to Stewarts / Thomas for its depth.
Really interesting vid! I was taking an interest in Stewart's book, as used copies are usually very cheap, but the fact that there are so many editions and slightly different titles around is confusing me. I wonder if they are all in practice the same stuff or one could risk to pick up some lemon.
I just picked up Calculus concepts and contexts, which form my search is first edition, though Stewart talks about his previous edition having an acoustic violin on the cover, and an electric violin on this book. printed in 1998. 2 USD along with the single variable solution manual by Jeffery A. Cole. I havent dug into it yet, but I am pleased that it makes use of CAS, and the TI-92, since its not always easy finding good material that directly references that calculator.
The deep geometric foundation of Calculus makes it an "easy" branch of advanced mathematics; the core concepts have a geometric interpretation. If you are struggling with a definition, lemma, theorem, proof, problem, etc., try drawing a picture of the statements.
My dream books would be college stem workbooks designed like elementary school workbooks but at college level with room inside to write my answer to problems in book. Too bad we don’t have that
@Techno Projects It does its job really well, at least for me. I don't like the explanation on infinite series and sequences though, but the rest is really well explained.
Have you ever looked into Alfred Whitehead? It would be interesting to hear your thoughts about them(especially their book: an introduction to mathematics).
I have the 1st textbook 6th edition (from back 2006-07 when I took the class)... I've had several other editions I have rented out throughout me failing and repeating the course.
Trig substitution was my favorite in cal 2. I hated sequences and series. Hated disk and shell method. Hated cal 3. Lol but I got through it 💖💖💖 a C in calculus 1, B in cal 2 cuz she let us use our notes for exams (thank god but it was still hard lol) and a C in calculus 3. I almost dropped cal 3. If my brother hadn’t convinced me to stay in the course, I would’ve dropped it due to how hard it was. Great review. I have a newer edition of the calculus early transcendentals by Stewart. Personally though I prefer Ron Larson
Hi, in Analysis, there is also this wonderfull book from E.W. Swokovsky, which is really easy to follow, also with corrected exercises, very interessant problems and applications, and sometimes original methods that you cannot find in everyday's maths book.. Thanks for this video
Seeing 3 thick books on a sturdy shelf, I first misread the title and read: "3 SUPER THICK calculus books for Shelf Study" - thinking it was a study on how sturdy the shelf was! But it's really about how to make your self study more sturdy!
Hi, my family gave me some calculus books. Now i have 3 books of calculus. But i don't know which one i should use as main resource. Can you guys help me? The books are: * Calculus by Larson Edwards *Thomas' calculus early transcendentals *Calculus with analytic geometry by Earl W. Swokowski What are your opinion about those books?
That book is good but it may not follow the actual calculus program in most school, so it would be a good reference or second reading book. The main stream in calculus is Stewart.
As someone who wants to study well but struggles I'd like to inform you that I appreciate the learnig resources greatly but whenever someone says that every book is better in its own way I kind of just move on because it feels like you could get any book
Back when I was in college in the early to mid 90s, the Calc classes that I took at a community college used Larson, Hostetler, and Edwards, Alternate 5th Edition. I transferred to Georgia Tech to finish my degree. Several Engineering majors tried to steal it from me. I fought them off and still have it to this day. I think that when I die I'm gonna leave instructions in my will to bury that book with me.
"Calculus" by James Stewart was first published when I attended university. But before then, I used his pre-printed material I photocopied as his student in my first year as a Natural Science student at McMaster University in Hamilton, Ontario, Canada. He was an excellent scholar and educator in mathematics, but an even GREATER man, well-grounded human with a sense of humour. RIP from a guy a few 'mois' from 60.
I had two Calculus books. One was very thick and that was the required book for the course. Then i had a much less thick book that explained in simpler terms the first book.
This makes me so excited... I'm a dropout because I had a lot on my emotional plate, not because I didn't love learning. To see something like this has me really excited to take control of learning the things I missed from school. This is a gift, thank you :)
Go get 'em!
My guy, I'm in exactly the same position as you. I love learning about STEM topics, but I dropped out of uni due to mental health issues. It's great to know that I'm not alone in this.
@@jasonwillows5239 Good luck. You can do it.
@@jasonwillows5239I'm with u too 😊
"Calculus and Analytical Geometry by Thomas and Finney" is one of the most encompassing books i have encountered, highly recommend it!
both even and odd results are given in Thomas book
Easy for non math people?
@@HairTiesForGlorfindel you might need to do some pre-calculus work before.
We used that in high school. The definitive calculus textbook.
@@HairTiesForGlorfindel No, not at all. Even for "math people" it's written in a way that refers to other fields like physics so that it does not read in a satisfying or self-contained way. It's bloated in that sense, with statements that are outside the scope of the mathematics topics being taught, and you won't be able to make much sense of them unless you know those other fields. Kinda frustrating and unsatisfying.
This started happening after Thomas dies and the publisher kept putting out new editions with new "co-authors". It seems they all wanted to add in their applications or something in the reading. I think 6th edition and earlier is still great.
The problems are fine, standard.
They do a nice job with series in distinguishing b/w power series in general and series generated by functions and on which intervals do those series converge to those functions. I would say it's better or clearer than Larson in that sense. Otoh, new series from old can be understood or developed with little-oh notation and algebra, but it's not.
Anyway, self-study out of high school for the average student I'd go with Larson first. The problem sets are better organized and the text is effectively self-contained. You'll have a hard enough time developing the discipline to regularly self-study; no need to buy a bunch of calculus books.
Stewart's fine for a different take sometimes or for more problems (you really don't need more than what Larson provides to learn the subject at the college level). Stewart contains problems though that cannot be done by reading Stewart if you know what I mean; you'd have to be guided or shown a "trick" or know what it means to prove something practically (again, I find this annoying and demoralizing when it's not clear from the reading what they're looking for in an answer, at least at this level of math). The new Thomas like I said is bloated in a sense now, so while some sections are "better" from a mathematical perspective (like series), this book does not make you like math.
Briggs is an AP high school book.
The Stewart book has a two-volume solution book (at least the old second edition that I have does). It's still only the odd problems, but it goes into more detail about how to solve them, rather than just giving the answers.
I taught calculus by Stewart, it is a good book. I heard good comments of Larson's book. I didn't know of the third book in your review. From your video those three books are almost identical, but I liked the book of Larson's because it contains biographies of mathematicians and it has the best presentation.
I do like Ron larson’s textbook better. For example, in the Stewart book, they do not teach integration by parts in tabular method. Ron Larson does teach that… so yeah lol
Larson and Edwards is pretty standard in high schools for AP Calc.
@@CliffSedge-nu5fv hi, thank you for your comment. All those books are written for advanced high school students (AP calculus) and beginners calculus courses at universities. That is the main reason of their great success...they are designed as learning tools.
Alas, I miss math. I used to be pretty good at it. I got sort of disillusioned in grad school studying abstract algebra and topology, wondering what it was all for and feeling like I was just pushing symbols around. I finished my MS, but then spent the next 32 years in a computer support/coding job forgetting everything I knew. I'm retired now, but a medication I take seems to have clouded my "math mind" even further, which makes it difficult to "see" all the stuff I used to be able to just see easily. And now that I'm thoroughly depressed, I subscribed to your channel to see if it might help.
I have just gone back to reading math books at nighttime. I used to watch lots of math tutorials, while neglecting to read books.
Now, math books are my idea of bedtime storybooks.
I have James Stewart's books. Inside pages, I keep loose slips of A5 papers with notes and examples of problems & solutions (some copied from tutorials, Math Stackoverflow, Quora, etc). They are handy bookmarkers.
👍👍
:)
Math books are my idea of bedtime storybooks, too (also physics & chemistry). Are we weird or what? NOBODY else I know would even begin to understand why one would want to read a math book. Most people I know, even college graduates, can't even manipulate simple fractions.
Some of the books of your reviews are so cool that I kept reading them even after passed the calc class. 😄
I loved James Stewart' calculus but his best work was his role in the classic "It's a wonderful life".
lol
🤓🔔😇
I've always thought these thick calculus books are the pinnacle of paper-print technology, but I much prefer to study from black-and-white books with a simple, one-column layout, like Apostol, Courant, Piskunov, and so on.
I agree. +1 for Piskunov. Smirnov is a little outdated. And for problems at that level Berman is pretty good.
too bad books like this are literally almost a b!tch to find especially if you're an international buyer lmao
@@oscarstaszky1960 Piskunov is Soviet era, therefore has no copyright. Here in India, several cheap editions of that book are still printed.
If you're considering the Stewart Calculus book, you should know that there are several versions. At least for the 8th edition, "Calculus" and "Calculus: Early Transcendentals" are basically the same apart from when the exponential, logarithmic, and inverse trigonometric functions are covered, and "Essential Calculus" is much briefer. For someone doing self-study, the first two books should be pretty much interchangeable, so buy whichever you can get the best deal on.
Diff btw Calculus and Calculus: Early Transcendentals? Which one is better for a beginner ?
@@tzachs_ Early. It's logically correct to cover transcendentals "later", but pedagogically it's a disaster. You already know properties of logs, exponential functions, and inverse trig functions; their calculus definitions will probably not be appreciated until 'after' calculus as bizarre as that sounds. It's like learn how to drive, then learn about the engine sorta. You also learn about nonelementary functions like some integral functions in calculus, but they're hardly ever appreciated at first b/c they're not used in calculus much per se. When you move to analysis or functional analysis or even mathematical logic you'll start to really refine your intuition about functions more, and come to see the subtleties. In the meantime, you need to just learn to read math (so read your calculus book very closely) and develop a geometric understanding of calculus while reading so you can see things in your mind's eye and develop your focusing and concentration abilities.
@@ungarlinski7965 thanks for sharing your knowledge.
@@ungarlinski7965 so what you're saying is um what?
I've been slowly working through Larson's book in my free time for self study for the last year and have found some explanations lacking at times. But in those cases I find it helpful to seek out additional resources online like Khan Academy for further explanation.
I also work through the odd problems if I'm understanding the material and getting the answers right. If I start struggling with particular sections I'll work through the even problems as well and, with some digging, can usually find the answers online.
I need you review brilliant for people to know about it, and math courses on it bcs i think it can teach a lot thikheads like me about math.
I got the one year subscription. Brilliant is not a website to learn a whole topic. It gives you exposure to some hard topics and would recommend if you want to understand the topics if you don’t know where they come from. So it’s made for people who want to stay sharp and kinda prepare you for all the future courses. Yeah if you just want to see what math is about I would recommend brilliant.
My experience with Stewart and Larson is the same as you! I learned calculus with Stewart and have taught AP Calc now out of a couple different editions of Larson. I think they’re both great but not perfect. Before I was introduced to Larson, I kept my copy of Stewart handy at all times for tutoring requests - I see your point that the explanations aren’t always fleshed out for a beginner but going back to it later, there is plenty of discussion in the examples to look at.
Hello brother, I am a high school student and I am currently in a report year because next year I must determine my destination for the future and I hope to become an international doctor. Do you have any advice for me and the books you were reading, because I need the calculus book a lot, but your comment, I don't know, didn't stop me. Take a closer look at the mentioned book. Can you tell me about the book you used?
I have gone through two of those books but still as a student I found this book very helpful : Thomas' Calculus - Joel R. Hass, Christopher E. Heil and Maurice D. We
6:21 Larson book; 7:17 table of contents ; 8:10 Disk and Shell method
This video really helped me...I would say this video made me sigh...I skipped 11th grade [passed but not attended class(which were introduction to Calculus)].....now I'm at 12th, I was really nervous about my future, as if I couldn't understand higher class math, if I want to do other jobs 😢,.....
And now I'm okay.......I like watching videos of yours about self study, learn Calculus from hom beginning to end, your failures, your worries etc....
I have an old calc book by Howard Anton which is excellent. Very detailed but easy to understand.
My copy is a first edition from the early 1980s...excellent text
👍
"The Calculus" 982 pages by Leithold (no longer in print) -nearly 90 years old is STILL the "Bible" of calculus textbooks. Learn everything in it, and you're more than ready for Differential Equations without a "make-up" class like most Universities today require (like my cousin teaches for Okra-Homer U and Okra-Homer State U to medical students). I passed The Calculus and Diff E at Tulsa Jr. College and tested out of it at O-Sheeet U Stillwater after my stint in the Air Force as a Microwave Tech. Raytheon and Fairchild guys liked that I knew math behind what I was training for.
meh I actually kinda hate how Leithold actually glosses over Vector Calc by stating that the proofs of the vector calc theorems are instead reserved for an advanced calc course while the other books like Thomas/Finney did their very appreciable best in explaining the proofs within simple Calculus level...
Leithold is in my library because it is superb on integration techniques.
i just found calculus early transcendentals at my local bookstore for $9.99 in great condition
I took a class with the third book teacher Mr. Schulz and yes of course he is very smart but what made him special was his kindness and approachability. He just wants to share how beautiful math is. Top tier lecturer.
Awesome
Hi, prof!
Please make a full complete video on Green's theorem in Diff eq. That would be awesome!
Here's a few I recommend:
1. Morris Kline's Calculus: An Intuitive and Physical Approach.
2. George Simmon's Calculus with Analytical Geometry.
Kline's is like Calculus Made Easy by Silvanus Thomson but made into an actual text book. It covers calc 1, multivariate calc, differential equations, it also goes into analytical geometry more than modern textbooks do. I tend to find older calc books go more into analytical geometry than modern ones. Kline's is also cheap. One thing I find lacking in Kline's book is his proof of the chain rule. Kline sidesteps the whole epsilon-delta segment of calculus.
Kline also develops both the derivative and integration at the same time. Integration is basically the reverse operation of differentiation, which is not the traditional way it is taught (as area underneath the curve). Some problems are best thought of as area underneath the curve instead of the reverse of the derivative. In those cases, integration as a reverse process of derivatives can get rough going. But overall, I think this is a good book.
Simmon's does not cover as much as Kline's,. It only covers calc 1. Like Kline, it covers analytical geometry better than modern texts. Also Simmon's prose, and proofs are terse, but clear. Kline tends to be wordy to the point of annoying. Simmon's book and his solution manual is available free if you look for it.
Simmons problems are tougher, in my opinion. Kline's problems are not as tough. Simmons covers things like deriving Kepler's Laws of Motion which is really impressive to me at least, b//c I don't usually see this covered in modern treatments of calculus.
Right now, I am using both as self-study for multiple purposes: machine learning (these two books are overkill for that), to prep myself for Nahin's books on integrals, and to prep for Spivak's book on calculus.
I love Morris Kline's books. Have you read his series on the history of mathematics? sublime.
@@andyiswonderful Yes, I've seen them. I have not read them... yet. They are on my bucket list of math books to tackle. But, before it are Stilwell's books and Howard Eve's Survey of Geometry. You know who else is good? William Dunham.
These are two of the books that I thought would be recommended here.
This video reminded me why I used to love maths generally, and calculus specifically. My brain is old now, but I guess I might enjoy running through some of the more elementary problems in James Stewart's book.
All of the libraries in Las Vegas have used book stores where I picked up both the Stewart( edition 5e )and Larson text for one dollar a piece. Also got a physics text for a dollar in great condition.
Plus I am retiring and will be donating my books to the Math Department at UNLV soon. So keep an eye out for some free books in the tutoring room.
In my experience Howard Anton's "Calculus" beats James Stewart's book in terms of readability, thoroughness and completeness of examples, and the problem sets. The particular editions that I had to study at university are long out of print. I cannot compare their current editions because I am not familiar with them.
I loved his Elem. Linear Algebra book as a first course. So well written and problems at the perfect level. The trend these days is to push for vector spaces right out of the gate using the axiomatic definition which is a shame.
Anyway, I would trust his Calc book, and your comment seems to reinforce my own feelings.
@@ungarlinski7965 That's a solid Linear Algebra book. But I'm a Gilbert Strang Evangalist, so :blows raspberry:
I learned from Stewart and I teach Stewart - so I guess I would beg to differ
We used Anton's "Calculus with Analytic Geometry"....my copy, which I have kept all these years, is a first edition.
As far as trying to teach yourself using these texts, remember, these are meant to be used in a three semester course of study, and presume a very high level of aptitude and motivation...it's a course of study intended for students pursuing degrees in mathematics, engineering or the natural sciences.
Meaning, if you are self-studying, TAKE YOUR TIME. Give yourself at least a year to get the basics of derivative techniques (chain rule, product rule, quotient rule, implicit derivatives) and integration techniques (u-substitution, integration by parts, partial fractions, trig substitution). Fight the urge to skip ahead.
@@MikeB3542 Anton's calculus textbook was ideally-suited to self-study especially if you studied every example and worked every problem in each section as well as the end-of-chapter problems. Earned an 'A' in the course (bi-weekly tests, mid-term, and final examination).
Your advice to take your time is 100% correct. A pace of one or two weeks per chapter is reasonable if someone studies 3-6 hours each week - similar to a regular semester schedule.
im going with the last one because it was discounted for 100 USD. Excited to use this one, as the other ones are so expensive.
Get a old edition when they issue a new edition. You can pick them up real cheap.
In college years ago I had a 1963 Rambler. One day I closed the trunk, and a stick blocked it and bent the trunk lid. Then when I moved, the car got rained on, and the trunk leaked on my calculus textbook I had studied so vigorously, and ruined it. It was not only thick before, but now with water soaked pages, it was *really* thick! I remember from my college days concluding actually how bad so many of the textbooks actually were. So many were particular versions a professor or department required and in the end we realized it was specified so somebody could reap the income from selling the books. Students sometimes researched textbooks to identify what were considered the classics, and sought to obtain those for learning and for reference. The takeaway is, if you are really going to get to know a subject, you not only have to learn the material, you really need to learn how the discoverer of the material approached it when he came to discover it. Now *that* is *really* learning!
Take a course in the History of Mathematics, along with the regular course work.
I took Calculus 1-3 using the newest Larson Edward's edition. Excellent book!
You should do a review of Sheldon Axler's new book on Measure, Integration, and Real Analysis. It is free online so you don't even need to buy it
Please review the OpenStax Calc textbooks!
So even in math, size matters.
🤣😂😂😂😂😂
That last Calc book is the one my program uses! I really liked it too.
I used "Calculus" (1980) by Marsden & Weinstein as a Freshman.
It starts with a nice review of analytic geometry and concludes with a chapter on vector analysis and lots of other goodies in between, including differential equations. It contains lots examples and solved problems within the text and problems at the end of each section and chapter, so there is plenty to practice.
Two-inches and 800+ pages of Calculus!
It's too thin on types of questions.
Bruce Edwards co authored the Larson Calculus book. Bruce Edwards is a lecturer of a bunch of math courses by TTC. Calculus being one of them. His Calculus course is not as thorough as The Math Sorcerer's two Calc 1, Calc 2 and Calc 3 courses on Udemy, but worth watching. For that reason I would say that the Larson book is the best of the three.
Oh wow very interesting, thank you for your comment!!!!!
Stewart's book is permanently saved on my phone and I'm a business major, amazing recommendation
The problem with all of these and others, too, is that the worked out solutions are not generally available to the public. Just having the answers in the back isn't good enough if you're doing self-study; you want to see how and where you might have erred. That's why I like the Larson/Edwards. There's a comprehensive website for all of their calc books with the detailed, worked out solutions to the odds. Plus, Edwards made two terrific sets of DVDs that are great for learning AP Calculus AB and BC.
At one point I was really fired up about self-study and I actually learned quite a bit. But now I'm not feeling it as much. I'm a bit more career-focused now rather than focused on personal enrichment. I think I just go through these things in waves.
$1 per page at the college bookstore. 7th edition of James Stewart Calculus is $299.99 on Amazon. Used paperback version is $178.
I got my copy for $25 on ebay
I saw a video of a West Point graduated throwing Stewart book in the garbage cans!!!
@@jmguevarajordan those are old back editions, the resale value is almost nill.
I've often wondered, not just from my own case, but since you mention the variable understanding, then not understanding, if this isn't from the mind getting tired and refusing to translate the information. I know in my case, my mind when it gets tired starts lying to me saying it can't do something that the next day it does just fine.
There is a century old book called "Calculus the easy way" that I recommend to any teenagers interested in self-studying. It's much better to learn math on your own than in a class, where grades create a false sense of pressure and the teacher has to draw things out to fill time.
I bet I took the Stewart Calculus book with me to every Starbucks in LA back when I was in undergrad.
Do you recommend doing all the problems in James Stewart's Calculus book for practice for the math GRE? Currently doing my Masters and got over a year and a half to refine my Calc skills for it. Its not that calculus is hard, I got my fundamentals down its just gotta learn all the tricks to solve some difficult integrals.
It can't hurt, the more math you practice the better. If you want to integrate, then integrate:)
If you can find old practice GRE's that helps too.
Good luck!!
Just took the GRE . There is NO calculs- only algebra, geometry, arithmetic and data interpretation. All very basic . What makes it difficult is there are so many twisted booby traps that will lead you into long tedious calculations that will waste your time when there is a simple hidden solution that requires little to no calculation at all .
@@cardiyansane1414 The quantitative section of the GRE is separate from the math subject GRE
@@patrickgambill9326 yes it is separate . OP just said “ math. GRE “ , did not really specify which one .. I assumed he was taking about the quantitative reasoning section
@@cardiyansane1414 No worries. I assumed the subject GRE, since that one consists of a lot of calculus
Awesome video! I would love to see you talk about rings and rings of polynomials!
Turning math into a hobby and just going down the Kahn play list starting at algebra. My son is frightened of this behavior.
Stewart is the gold standard. I loved it. The worked examples. Notice that Apostol's books aren't on here.
I have Early Transcendentals for my college class. They said were are using it all the way to Calc 3 so thankfully they save me some money
I am not good with reading comprehension so I feel like that itself makes it hard to read a math textbook but I have been trying to prepare myself for Calc 2 for the Fall!
I kinda like openstax, but if I had not taught myself calculus from book years ago that would not have been the “ friendliest” self learning tool. Just to be honest, with RUclips and textbooks calculus would be a lot easier nowadays, BUT something is to be said about the teacher giving you work assignments and test that you have to do AND giving you feedback. Had a “future “ engineering student complain about how hard greens theorem was at a cafe/restaurant in the early 90’s. Went over to look at his problems and he had 4 out of 10 problems wrong( something like that). Green’s theorem was not his issue on them, but changing his region on double integrals . He blame his professor, but I pointed out the area in his textbook that plainly explained how to do it. A professor only has so much time and he was no longer in grade school…. Pick up the book and learn.
Had a strange dream last night. I was in a library ( dream about being in libraries quite a lot); it was just before closing time, and the librarian suddenly announced to my friend and I that we could purchase ANY of the books in the library for 5 UK pounds. I did a quick search on the library computer to see if they what books they had on Calculus and Algebra. I saw two thick books, thought that 5 pounds was a bargain, and then headed for the shelf destinations, 2KE, HK and HJ. But as I pulled the books out, I could find neither, got really confused and started frantically pulling books from the shelves. I found some book on Astronomy and was totally confused. Then the closing bell rang and I got up to leave; confused and disappointed.
I have book math one thicker than this it has more than 1500 pages ! It's so thick I barely can handle it . It is a calculus book
Wow
i don't really get why sequences and series are after derivatives and integrals. they are a more fundamental topic (meaning that less knowledge is required to study them, compared to derivatives and integrals) and is directly used to define those two.
I used Calc by Steward for Calc I & 2 in my MechEng undergrad classes,then transitioned to Advanced Modern Engineering Math in my final year
Did you use Kreisig's book for your Math Engineering class? If you did not, I recommend you pick up a copy for your library.
Yeah, I have the latest edition from Stewart and Lawson. I got a recent edition of Thomas, but I don't have a Briggs. So I ordered the 3rd Edition along with the Student Solution Manuals.
Nice
And what do u think about them?? Which one would you recommend for a fist calculus course ever??
@@mudaxt2223 Ouch! Between Stewart, Larson and Thomas, well, I would eliminate Thomas. I remember seeing SOMETHING in Larson that wasn't in Stewart, but Stewart has been my GO TO book, and I do Larson after I've already read through Larson, and did the exercises. I ordered the Briggs book, published by Pierson, who also publishes Thomas, and so I'm wondering now whether the latest edition of Brigs might be VERY SIMILAR to the 2018 Edition of Thomas i got. Stewart and Larson are both published by Cengage Learning and I like their Textbooks. BUT, if you are going into Calculus for the first time, well, HOW IS YOUR Algebra and Trig? Really Calculus is just some New Principles you need to learn but all the WORK is using Algebra and Trig like you a MAGICIAN. I am all the time telling myself "You Can Do Anything With Algebra" but you have to REALLY KNOW Algebra.... the same for Trig. Algebra and Trig need to be Second Nature... they're the Tools you will using and your Tools need to be SHARP.
I'll add this, for now, I'm about to take astrophysics next year still don't know anything about calculus.
Adam's calculus is highly recomended
I used Thomas' Calculus, 12th edition (along with Devi Prasad's Advanced Calculus for a couple of topics)
I used Thomas’s Calculus and read it cover to cover. It is an excellent book.
Briggs' is the easiest to read along. Stewart / Thomas' are for those with strong precalc background. Advanced students keep coming back to Stewarts / Thomas for its depth.
Really interesting vid!
I was taking an interest in Stewart's book, as used copies are usually very cheap, but the fact that there are so many editions and slightly different titles around is confusing me.
I wonder if they are all in practice the same stuff or one could risk to pick up some lemon.
All the same between editions. I had 3rd.
As mentioned in the video, Stewart died a few years ago but they’re still pumping out new editions. Get whichever one you want.
In high school we used Stewart's book for AP Calculus. I found it being a better textbook than the one I had to get while at the university.
I just picked up Calculus concepts and contexts, which form my search is first edition, though Stewart talks about his previous edition having an acoustic violin on the cover, and an electric violin on this book. printed in 1998. 2 USD along with the single variable solution manual by Jeffery A. Cole. I havent dug into it yet, but I am pleased that it makes use of CAS, and the TI-92, since its not always easy finding good material that directly references that calculator.
These books are beautiful! Seems to be well printed and coloured. I study calculus as part oy my degree in Electronic Engineering.
thanks, you always encourage me
The deep geometric foundation of Calculus makes it an "easy" branch of advanced mathematics; the core concepts have a geometric interpretation.
If you are struggling with a definition, lemma, theorem, proof, problem, etc., try drawing a picture of the statements.
My 2 fav may classes were diff EQ and complex numbers.
Best calculus books are the book by James Stewart and book by Thomas
My dream books would be college stem workbooks designed like elementary school workbooks but at college level with room inside to write my answer to problems in book. Too bad we don’t have that
How about books, such as, Calculus with Analytic Geometry?
yeah sometimes those are pretty big thick books too
I am using Thomas
@Techno Projects It does its job really well, at least for me. I don't like the explanation on infinite series and sequences though, but the rest is really well explained.
i remember that violin
I am studying with Tom apostol calculus Vol 1 and it's really good so far
No Spivak or Apostol?
Have you ever looked into Alfred Whitehead? It would be interesting to hear your thoughts about them(especially their book: an introduction to mathematics).
Thomas calculus also best book , problems are very good in that book .
I just picked up 6e Larson's book on Amazon UK for £6. Used, but in good condition.
Bargain!!!
I have the 1st textbook 6th edition (from back 2006-07 when I took the class)... I've had several other editions I have rented out throughout me failing and repeating the course.
What math taught me is how to create a trafing system to beat wall st game and I have donebthat
Excelente bibliografía. Gracias por compartir
عاشت ايدك تحياتي لك من البصرة
Thanks for the video. I did not realize the subjects I would like to progress in were in one book. Helpful. Thanks. Study math for fun.
Plz. Make a video on books for self study to learn probability
You should make a video on the best book for each topic
Trig substitution was my favorite in cal 2. I hated sequences and series. Hated disk and shell method. Hated cal 3. Lol but I got through it 💖💖💖 a C in calculus 1, B in cal 2 cuz she let us use our notes for exams (thank god but it was still hard lol) and a C in calculus 3. I almost dropped cal 3. If my brother hadn’t convinced me to stay in the course, I would’ve dropped it due to how hard it was. Great review. I have a newer edition of the calculus early transcendentals by Stewart. Personally though I prefer Ron Larson
Hi, in Analysis, there is also this wonderfull book from E.W. Swokovsky, which is really easy to follow, also with corrected exercises, very interessant problems and applications, and sometimes original methods that you cannot find in everyday's maths book..
Thanks for this video
tjank you
It's great, thanks.
Thank you
Seeing 3 thick books on a sturdy shelf,
I first misread the title and read:
"3 SUPER THICK calculus books for Shelf Study" -
thinking it was a study on how sturdy the shelf was!
But it's really about how to make your self study more sturdy!
Anton, Swokowski, Larson, Thomas...Stewart's a distant 5th, at least for me regarding 'self-study'
Thank you🎉
Hi, my family gave me some calculus books. Now i have 3 books of calculus. But i don't know which one i should use as main resource. Can you guys help me? The books are:
* Calculus by Larson Edwards
*Thomas' calculus early transcendentals
*Calculus with analytic geometry by Earl W. Swokowski
What are your opinion about those books?
What do you think of the book "Calculus: An Intuitive and Physical Approach" by Morris Kline?
That book is good but it may not follow the actual calculus program in most school, so it would be a good reference or second reading book. The main stream in calculus is Stewart.
As someone who wants to study well but struggles I'd like to inform you that I appreciate the learnig resources greatly but whenever someone says that every book is better in its own way I kind of just move on because it feels like you could get any book
Back when I was in college in the early to mid 90s, the Calc classes that I took at a community college used Larson, Hostetler, and Edwards, Alternate 5th Edition. I transferred to Georgia Tech to finish my degree. Several Engineering majors tried to steal it from me. I fought them off and still have it to this day.
I think that when I die I'm gonna leave instructions in my will to bury that book with me.
Nikolai Piskunov and Louis Leithold what I used..........long long time ago.
Love your content
Hello Math Sorcerer, what's the difference between the books titled: late trascendentals, early trascendentals and 'calculus'.
"Calculus" by James Stewart was first published when I attended university. But before then, I used his pre-printed material I photocopied as his student in my first year as a Natural Science student at McMaster University in Hamilton, Ontario, Canada. He was an excellent scholar and educator in mathematics, but an even GREATER man, well-grounded human with a sense of humour. RIP from a guy a few 'mois' from 60.
I had two Calculus books. One was very thick and that was the required book for the course. Then i had a much less thick book that explained in simpler terms the first book.
Very good video!
Thank you !
I think nothing beats good old Spivak, but I guess it might be too rigorous for many people.
I guess thick books are required for calculus - I'm sure the Super Thin Pamphlets didn't get the job done.