Calculus For Beginners: Get Started Here
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- Опубликовано: 7 сен 2024
- My Courses: www.freemathvi... || In this video I give you a great place to start learning calculus. This is with a very famous book that has withstood the test of time! It is the one and only Thomas' Calulus.
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In my opinion this book is not very good at explaining things to someone being introduced to Calculus for the first time, but it does have really good exercises to help you master the skills. I use this book for my Calculus course and the exercises are great, but I usually find myself having to go elsewhere for explanations.
Where else do you find explanations?
yeah i do not like this book either, i find larson better
What are the prerequisites to this course?
@@valerieschwartz1762 College Algebra and Trigonometry also known as Pre Calculus depending on school.
In my opinion it's more dry and rigorous than others.
I think the ones by Anton and Swokowski are more suited for complete beginners.
Nice to see Thomas Weir getting some recognition at the lair. The authors are from MIT & Navy Post Grad respectively. The 9th Ed. has had a place on my bookshelf since HS. 😊
These book reviews are delightful and nostalgic. I'm having a lot of fun teaching topics that made me fall in love with Math and Physics in high school. Hunting for calculus workbooks and "interesting" problems is also a rush!
I taught myself calculus over Xmas break while I was in high school; Calculus is much easier than the other maths IMHO because it makes more sense innately. I remember my younger cousin looking at the calculus mathbook and asking "Where are the numbers?" hahaha...
I found this book for free just sitting outside in my college building’s hallway. They were going to recycle all of these books including this one and my professor advised me to get some books and this was one of them. I am about to finish my precalculus summer course which covered both trig and college algebra and I happened to find this book for free. What luck!
I love Thomas’ Calculus. I have had it since high school and it has memories I had with my late dad.
This is one I don't recall having heard of before this video. It looks really great: subtle use of color shading, tonnes of problems, plenty of explanations, and rigorous proofs all rolled into one. My hero in this line is Gilbert Strang of MIT, who retired from teaching this year (at 88!) and is 89 today.
Strang is awesome and I'm sure you saw how excellent last lecture. What do you think of his calculus book?
@joeyp1927 It's one of the most engaging math books I've read: he even foresees what you'll not like, eg. line integrals, and tells you straight. Quite a guy.
@@terencemeikle534 Yes he seems like a nice guy. Glad he made that textbook free online! I'd like to buy his linear algebra book someday though.
Please review Morris Kline’s “Calculus: An Intuitive and Physical Approach”. Dover reprinted it so I assume it’s achieved a sort of classic status with them.
I can vouch for this. Kline is a phenomenal teacher.
fast lane: φ = 30° = OBQ → BQ = 5; QO = r; tan(φ) = √3/3 = r/5 →
r = 5√3/3 → area circle = 25π/3
Hi Math Sorcerer,
First of all I really enjoy your videos, specially study math from beginning to end. I am a math student in Germany. Here we start with hardcore proof writing and some abstract algebra even in first term. I am going to choose algebra as my specialization (Here you can choose between optimization, analysis and probability, techno mathematics, statistics and algebra). I am currently taking class in commutative algebra and later in my master I am going to take algebraic geometry and computer algebra. I already had fundamental of mathematics (linear algebra normal forms e.g. Jordan normal forms, analysis in R and in multi dimensional space) topology (general and algebraic top.), measure and integration theory, vector analysis (differential geometry), number theory, ordinary differential equations( we didn’t really solved odes we just study theoretically about existence and uniqueness of solution and stability discussions), abstract algebra (group theory, basic ring theory, field theory, galois theory and sylow t), and some probability theory , symbolic computing, numerical mathematics, and a lot more. So I know a lot of math and we studied all of these pretty hardcore with proofs (almost no computation in exercise sheets). Every term I think wow this topic is gonna be mind blowing e.g. topology or measure theory and pretty high level and abstract but I just end up with more abstract theory and high level math stuff. For example in commutative algebra we introduced tensor products of modules and we defined it via category theory (universal property of tensor products in modules over a ring category). I am now really interested in category theory.
Do you know category theory and can you please recommend me some books about it.
I really would like if you could do a video about category theory.
Thank you.
I want The Math Sorcerer to review "Calculus" by Marsden & Weinstein; it was the text I used.
MS: "This is one of those *really* thick Calculus books. It's got so much content. And it's heavy."
"Let's see, it was published in 1980. Wow! That's such a long time ago. I gotta give it a smell."
"Look at all these great problems!"
even in Hungary we used this book for CS degree, I loved it
I used Thomas Calculus for my calc 2 and 3 classes ( calc 1 was AP Calc in HS)
Thank you very much for your Encouraging Videos!
Because of your channel I started studying Physics besides Medicine :)
Calculus used to absolutely terrify me and I met someone who loved math and shared the profound wisdom of the language of math and that was one of the biggest perspective shifts.
Math is the path to truth.
That book is a bit much for an absolute beginner IMO but definitely a must have for the library and as a resource.
Calculus books require every answer, not just answers to the odds or evens.
A good lesson book provides every single step to each question without a need to figure out make believe steps not found in the lesson or chapter.
It’s pronounced “Thomas’s Calculus”: the ‘s’ after the apostrophe is dropped when there is an ‘s’ just before the apostrophe.
The best calc textbook is by George Simmons, calc with analytic geometry, 2nd edition.
Fifteen seconds in, the problem on the left side of page 363 with the graph is very similar to a free response question on the AP Calc BC test from 2022.
Excellent book, here at the Technical University Of Crete at the Electrical & Computer Engineering department we use it in our 1st year to learn calc1 and calc2. I personally use it very often, even I am in my 4th year.
Couldn't agree more. I have the 3rd Alternate ed., the 4th ed, and the 9th incl all 4 solutions manuals from Weir.
We used this book at my uni (UK) for Calculus I & II, its an absolute lifesaver if you miss lectures and pretty good for self study.
I learned from that book...23 years ago...still reference it
wow!
Earlier this year I read the 4th edition of Thomas, but didn't spend time being careful. Right now I am working through 8th edition of Thomas and Finney. I think it is my favorite Calculus book. I also have Stewart 2nd edition (with two volume complete solutions manuel), and Ellis & Gulick. Yes, I am a calculus nerd.
I used Thomas and Finney in high school and when I was in graduate school (not for math) one of my classmates had the last name Finney and one day I found out that he was the son of the author! I never got to meet his father or I would have asked him to autograph my copy. 🙂
Is 4th edition hard?
@@yalol I found it to be pretty hard. It contains some linear algebra, some differential equations, and is sprinkled with analysis throughout.
I have an 8th edition too. Was required text back in...1987? I prefer Stewart (for the problems) which was the text when I went back to school for another degree.
@@alphafound3459should I get 13th edition then?
My #1 Calc book is the one from James Stewart and my #2 is the one from Larson. I taught myself Calc with the one from Stewart. It had good explanations, graphs, illustrations, and a lot of exercises. I got Larson's book after I finished Stewart's. Just to see the difference between the 2. I paid less than $100 for both. Both really good books but I prefer Stewart's.
I got the second half (calculus 3-4) of this book for Christmas 2022. If only I asked for the Stewart book.
Gread vid as always! When I was taking AP calculus in HS, we used Howard Anton's calculus with analytics geometry (3rd edition). Not sure if you have it but most likely you do. In college when taking Calculus 3, I also used Anton's book but later edition.
My university (in Sweden) uses Calculus: a complete course by Robert A. Adams and Christopher Essex. It’s a great book
This is the best book for beginners because it helps you visualize
love the videos they have been super helpful much appreciated
I am from India and when I was preparing for JEE it's my go to book. Later when I joined IIT Bombay I used same book for Calculus 3. Till today I have this one with me.But personally I don't like 14th edition. I am really in love with 13th edition.
Sir can you guide me for jee
I am in trouble
Please sir 🙂
Buying this book if I can source it in Canada! I’ve been considering switching my major from Finance to Maths!! Next term I’m taking Calculus, Vectors and Matrices and Algebra!
I have the 3rd (1960) and 4th (1968) editions of this book. Definitely a classic and two of my favorite calculus texts.
Those are suppose to be the classic versions, especially the 4th edition. I especially like it because Thomas provides a 100K foot view explaining why this material is important and worth studying. All the other Calculus books simply drive into the material so there is no rationale provided as to why the "student should care".
@@normanklein3155 yeah the 4th is great. I really like how it explains the epsilon delta proofs of limits, easy to follow.
I learned from a book called Calculus the easy way. It's written as a story in which the characters explain the use of calculus.
I teach calculus, agreed, such a good book.
Best thing about learning math is that the subject material hasn’t really changed in like 2000 years and every problem imaginable has been solved by someone out there 😊 Just buy a used Stewart Calculus book from 20 years ago for $7 free shipping.
The book I learned from. That has the new cover (from what I remember).
Fantastic channel on RUclips.... You always recomend ultimate maths and physics books. But please make a video on the practical mathematics and physics books used in engineering......... I am talking that how can we use mathematics and physics practically for making or designing equipments...
Came here from your recent video on Tao's Analysis book. It looks like Thomas is a little more advanced than most calc texts, focusing more on proofs, but I'm wondering if this could be a good thing for someone who'd like to eventually tackle analysis (with Tao's book perhaps) since I've heard this is sort of like an abstract, proof-based version of calc. Would a more popular, but more basic text like Stewart be more appropriate for someone who's just getting back into math after a geologic epoch? Thanks for your cool videos!
I say get both, Stewart and Thomas:)
Different is okay. I suspect excellence if found have early and late editions. Leighthold in the big green was my calc book in the early 70s.
Nobody can learn calculus from this book even if precalculus had already taken, this is a great topic for your next video 😅
Thanks for the review! Where does Spivak fall in the pecking order of recommendations?
I wish you could recommend some more advanced textbooks. I don't mean "advanced calculus", but something for graduates and post-graduates. Calculus is just the first step to be a mathematician.
Can you give suggestions about a good physical chemistry book.....I know it's outside your domain but I don't know anybody else who gives such good advice.....as always lots of love from India ❤
Peter atkins
Narendra Awasthi
J.d lee
I used Thomas and Finney's Calculus, the 9th Edition, I think. Not sure if the Thomases are the same though.😊
I'm really interested in re-learning calculus. If you can recommend, which one I better focus on between the James Stewart or this one?
Hello, thank you for all these very helpful content. Could you please review Smirnov's higher mathematics book and propose some modern alternative with the same approach for mathematics for physics. Thank you again !
I used the 4th Edition of this book to learn Calculus. At that time, I found the book somewhat difficult to read because of the emphasis on a sort of proof-based writing. I essentially just used it to do the homework assignments because my teachers were so good. I still have that book. I also have the 8th Edition authored by Thomas and Finney and the 13th Edition as a pdf file. A few months ago I bought Stweart's 7th Edition on ebay for $9 with the white cover and the Integral symbol in brand new condition. I have compared both books. They are slightly different and if I was a student now, I would use both books. I like the figures in Stewart's book a little better. It is an excellent book as well, with lots of examples. I think with the apostrophe after the s in Thomas' , it is the possessive as in "his" book.
Hey you wouldn't mind sharing that file would you?
@@karlsidney3218If you go to Library Genesis you can download a copy for your self. A great resource to download books before you decide to buy a hardcopy.
Which edition you liked the most? 4th,8th or 13th?
@@yalol The 13th, but the 7th or 8th Edition of Stewart are also excellent. Clearly you could learn Calculus from all of these books. 4th Edition of Thomas does not have all of the topics in later books and had fewer examples, but shorter sections. 8th Edition of Thomas is somewhere in between with good color diagrams and covers the material but not as nice as the 13th. Of course you can use all of these for doing more problems.
Thanks for the video! Would you recommend the Thomas' Calculus book or the James Stewart Calculus book? I already have the Precalculus from James Stawart and, because they are a very expensive books, I would like to take into account your opinion before purchase it.
I am having a PDF of this book
I learned calc out of Larson, but I wanted to ask your opinion if I should use that same book to relearn (it's been awhile) or go with Thomas ?
Nice
Very good
What do think of Serge Langs small calc book.
Sir just a random question here: What do you think about the books from Art of Problem Solving, Can you please make a review video??
Whatever you do, if you are using a calc textbook which is dry and heavy on theory and lacks examples to solve problems, shelve it and try another book. Nothing is harder than to feel you can't even turn the page because you don't understand the theory.
can you recommend some books about stochastics that have a similiar way of teaching like james stewart (and a book like calc book style)? Im super new to the topic so i need something that really gets me into the topic
I’m going to take business calculus next semester and I want to self study and try to get ahead. Would this book still be a good resource for someone like me?
I am a student in my final year of mathematics.
I would like to enter the field of scientific research and university teaching
. Can you provide advice for me? And can you tell me what specializations are most in demand in universities?
Sir see HC Verma concept of physics it's a great book for high school physics lovers
This book looks so similar to Calculus by Adams
Please try jee advanced paper from India
What do you think of the Saxon math books by John Saxon?
I've seen this book, but in my opinion "The Calculus with Analytic geometry" by Leithold is the best Calculus text book. You should review it.
Can I use it in high school, I am from india
Do you need to know algebra before you get into calculus?
anyone else feels like his videos have gone down hill? instead of teaching the subjects, he just recommends books and say its a good. this channel should change to math book recommendations
this video is uploaded about 2 hours ago ❤
27/11/2023
I have the last copy 😅
Vector(😎,🕶,🙂)
What's crazy is that something about the thumbnail just told me this would be Thomas, even though I've used other editions of it. 😅
watching this cuz i’m failing calc 3 this term
Just posted the most difficult puzzle in the world. Please give it a try.
Just tried to CLEP out of Calculus without ever completing College Algebra. Do not recommend. Lol.
It’s absolutely so ridiculously hard material and there is no need of it. No reason I would ever use any of this shit in my entire life for any purpose whatsoever. I don’t understand why it’s even in existence. People will call me crazy I don’t care it’s my opinion.
100% 👍👍👍
I believe pure maths as a study for the regular person(me) is just too boring and unintuitive. The amount of proofs that do some assumptions and shit really grind my gears. But I believe it definetly has a mainstay when you get into STEM. Every inch of stem has mathematics . Everything you use today has calculus in some arbitrary form or the other. I did mechanical engineering and found the pure maths courses dogshit boring but when they applied it to actual engineering concepts it was making sense. It's just that there's so much bad material out there that students can get bogged down and lose focus and what's actually important for a career and providing value in building something. I'm all for research and theory but not my cup of tea at this moment
Next time you start your car and drive to work, think about the calculus equations that are required for air mass and density and fuel injection pulse width calculations under varying temperature and load conditions etc.
Perhaps the next time you get on a plane and you look out at that massive jet engine that is providing the thrust to launch you and plane into the sky, you might consider the intense mathematics that is required to make aviation in general possible. So perhaps while your outlook on mathematics is limited, trust it to be true that calculus is behind every modern machine in existence.
I actually stated what you just said but maybe in a more basic way so maybe that has made you assume my "OUTLOOK IS LIMITED". Im talking about abstract understanding of mathematical theory. Right now im studying quantitative finance and a subject called stochastic calculus does not align with my skill level. I never mentioned anywhere that calculus isnt useful...every single thing in the world runs on calculus. I meant purely from the perspective of just one student and my perspective alone. I was taught maths in a "LEARN XYZ FORMULA,LEARN ABC STEPS, COPY XYZ AND ABC and EXAMPLES 123 which will come in the exam TO get A+" Sure i would get the grade in pure maths but i realised i was just good at the exam taking and pattern memorization and hammering rather than understanding the nuance. THIS WAS ONLY IN PURE MATH CLASS AND PURELY LIMITED TO THE WAY I WAS TAUGHT AND THE MATERIAL I GREW UP WITH@@Wandering_Horse
@@vishwakjayakanthan2400 Hello my friend, I think you might be mistaken. My comment was not directed at you so I am not sure why you took it personally. My comment was in reply to the original comment by "GHJ9112", it has nothing to do with you at all. Best of luck on your journey wherever it may take you, hopefully somewhere relaxing.
why dont you talk about your subscribers and how this book got recommended instead of talking anything about calculus at all.
Yes, I think Thomas is good. Stewart is the most horrible, pathetic calculus book I have ever seen-not worth the paper it is printed on. Not sure who Stewart paid off to get it printed, but it is worthless.
Try Calculus by Isidore Dressler, one of THE GREATEST MATH AUTHORS in history! Well written , easy to read, great problems and examples by Amsco! He is absolutely fantastic!
i am currently doing self study , i am not in school or anything i want to enroll in college but not now when i get money xd , but i am actually right now using the book of calculus by " edwards / larson " 4th edition and i am now on the Continuity and one sided limits and i am having so much fun because there are actually no exams nothing to worry about the only thing you worry about is to make sure you understand everything in depth and i actually did super fun cant wait til finish the whole book and i have james stewart book and i made it for just solving problems not to learn from it. i feel james stewart focuses on more graphs then mathematical explanations!
@Enteino I taught myself Calculus with Stewart's book. I think his choice of explanations, graphs, and illustrations are a good combination to get the subject matter across to students in an easy to understand fashion. I also have Larson's but I got that after learning calc from Stewart.
actually james stewart book is good i use it as a student goes back to his professor , i use Larson's because it has many theorems and the book it self tries to make you proof the theorem's there is in Stewart but not as much as Larson's book but i like Stewart explanation i feel it is more clearer because he uses visual explanations. right now i am in derviatives i finished limits it was tough but fun and i tried to create my own theorem instead of the informal definition of limits which is used in the start ! i really want to put more time into self study but i work full time and i barely sit at home so its kinda hard to study a day then come after a week to continue! @@bernardocisneros4402
@@Ensteino I know it's difficult to have a work, life, family, and friends balance and then try to make time to learn Calc. Just gotta make the time if you enjoy it. You'll be happy you did. It took me six months to learn limits, derivitaves, and integrals putting in an hour a day every day and sometimes 2 to 3 hours on Saturdays and Sundays. Chapter 1 through 7 in Stewart's book. It feels so good to finally know how to do limits, derivatives, and integrals.
well lucky i am doing the same as you i usually put 2 to 3 hours study from 11pm to 3 am or 2 am just calculus because i get back home late and days i just study the concepts and let the 2nd day for problems work out problems and i made alot of progress and also on weekends as you say i actually put alot of time aswell sometimes i go up to 10 hours studying most of the time solving the problems that i couldnt solve or the proofs i couldn't prove sometimes a proof takes me hours then i just skip and leave it and sometimes i get it right from first 10 minutes. but the most annoying thing in calculus isnt the problems it is the proving because i am so weak at it but i bought a book its called the learn how to prove by daniel sallow i bought it and i am just waiting til it gets delivered because i need to improve my self in proofing it is so hard for me because in high school and middle school they never taught us how to prove theorems they just teach us the steps to every problem you see its like memorizing and i hated high school math but i actually from inside i am in love in math but the struggle hurts but ill keep up the work man and also if you have tips for me how to study theorems and definitions and how to prove tell me that would be helpful and thank you so much @@bernardocisneros4402
@@Ensteino Looks like you're on the right path. Better to be learning something new like calculus for hours than be at a bar drinking for hours. Keep it up! I got good at proofs in High School Geometry class. I didn't have any proofs in Algebra 1 or 2. In Trig we did a little bit, but not much, mostly with Trig identities.