The Perfect Calculus Book
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- Опубликовано: 12 авг 2022
- In this video I talk about the "perfect" calculus book. This is a book that has come up repeatedly in the comments for years. I have a similar book that is older, but this one is an updated version and includes much more content. The book is the one and only Thomas' Calculus.
Here it is: amzn.to/3PnJwOP
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Thank you:)
Good morning from UAE, it's 8:22am. I'm 15 years old and I just finished learning college algebra and Trigonometry in my summer holiday now I will start calculus! Wish me luck
ok, good luck!
Good luck from Queensland, Australia 😁👍
Good luck from California, USA!
Good luck!
Good luck from Douala, Cameroon 😊
I had the original Thomas Calculus and Analytic Geometry at Cal Berkeley in 1972; it was an excellent book, hard to imagine a better version.
Which major did you take in Berkeley? If you don't mind sharing of course...
As far as I can tell, these newer ones basically add additional material to the solid old ones. When I did a small comparison, the new ones seemed better in that they included the old stuff and more. Modern graphics, layout and nicer paper.
@@generatorrex484 I was a chemistry major but eventually got a degree in Math, I also played Varsity Intercollegiate soccer at Cal.
I forgot to mention John L. Kelly was the lecturer for my first three calculus semesters. He was the best math lecturer I experienced in school.
When I was starting off maths I primarily self studied and used Thomas calculus and it had EVERYTHING i could possibly want. That and book of proof by hammock really kick-started my passion. Love this
👍
@@TheMathSorcerer epic good for a self thought like me.
@@TheMathSorcerer book name ?
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@@mdfaiz5955 tomas book
Having taught calculus for 20 years, I have to say I agree ! I love this book!
😀
Can't wait to get it!
Just love watching every video you make...
yes, i did this by thomas and finney for calc 1 and 2 as an undergraduate in the 80s. i still recall the image of several of its pages. excellent!
According to this review of the 12th Edition it was based off of Thomas' Calculus and Analytic Geometry. It makes sense. Calculus and Analytic Geometry appears to be an introductory textbook suitable for AP Calculus students. This obviously goes in much greater depth over a much greater range of topics. It seems to me For a beginner a useful course of self-study might be Pre-calculus> Calculus Made Easy> Calculus and Analytic Geometry>Thomas' Calculus: Early Transcendentals. Work thru all of that (along with reading Serge Lang's book) and you'd probably be ready for Spivak!
What would you recommend me for the Pre-Calculus book? (sorry for bad English)
@@diw163sorry for late response but I recommend Pre Calclus by James Stewart
I’ve only just discovered Serge Lang earlier today. Which of his books are you recommending, if I may ask?
I learned Calculus from this book via my very awesome professor who recently passed. He had multiple doctorates, yet insisted that we just call him by his first name, John. John raved about his book, but complained that the editors did nothing in new editions except scramble up all the questions, so student would have to buy new books.
Thanks for reminding me about this, think I’m gonna go flip through Thomas Calculus right now.
John ❤
I was waiting for this review. I use this book along with other analysis books because Thomas' Calculus addresses topics like sequences and continuity intuitively, even the proofs are written without analysis being a prerequisite to understand it. It is written mainly for engineering students rather than math major students.
Moreover, it contains many examples and exercises.
I had recommended you to review this book in the last video.
Thanks a lot.
❤️
Sir thank you from the bottom of my heart. Today my son left home for USC Columbia SC to study Mechanical Engineering . His course book for Calc1
Thomas. I got him the 14th edition to supplement his other material. Brilliant.
For the benefit of engineers I studied Mech Eng fifty years ago using Strouds programmed texts on calculus first edition 1970. Ken Stroud university of Coventry UK. I just got the latest edition and advanced one too. My daughter was a maths major undergraduate Leeds took a first class honors and a Kings College Masters with excellence. Point is she used Stroud’s books too. Worth looking at. I have studied calculus for fifty plus years and am still learning. If you’re struggling with it, take the sorcerer’s advice use the analogue clock ⏰ set it for 30-45 minutes then another
Fifteen for review and recall. SQ3R survey; question; read; review; recall( where you finalize your notes in the most meaningful way for you.) remember sorcerers key points: do problems over and over; take notes in class even if you don’t understand them at that point. At least you’ll know what to work on? I’m sixty-eight maths is a journey take one step at a time.
*Dr. Please make a series of 6 - 8 videos on how to generate the spark of interest in mathematics among small children and toddlers. It will be of great help.*
I agree
Teach them Functions and Set Theory. 😂
Nice review, professor 👍
These book reviews are so informative and entertaining, thank you for your infectious passion
You are very welcome!
Thomas was a professor of Math at MIT. His first edition Calculus and Analytic Geometry textbook appeared in 1952! Many feel the book "peaked" with the 4th edition in 1968, which included derivations of Kepler's Laws of Planetary Motion, for example, and was later somewhat "dumbed down" as the level of preparation of many undergraduates waned. But nice to see it is being kept current. The Exercises were always a particular strong point of the book.
Very happy to see this comment because I am convinced that newer editions are upgrades. The oldest edition in my college is the one from 1968, and it is great. Sadly, in my country there is not much 4ed but there are some 3ed for sale. I thinking it about buying the 3ed, I hope it is as good as the fourth.
I'll see if I can find a copy of the 4th edition. Since I'm interested in planetary motion and astronomy, this edition is for me.
nice recommendation! thanks
I bought the 4th edition several years ago because it is the text for the Herb Gross MIT Calculus Revisted Open Courseware series.
This was one of the recommended texts for the calculus classes at my community college. I think I liked it better than the other recommended ones by James Stewart and Earl Swokowski.
I've gone through this whole textbook and just love it. I'd also highly recommend Briggs.
👍
Excelente bibliografía. Gracias por compartir
thank you so much sir
I am honestly so happy though because my upcoming Calc II professor is using this EXACT textbook. I look a look through it and it was so easy to follow along
Very nice!
I didn't know these two books, I will try them.
Untill now my favorite books are Rudin's ones.
I am in calculus 3 now and I am just discovering this video. I just learned the book I used for calc 1, calc 2, and now calc 3 is the best book.
I studied calculus with Thomas, and it was literally great book. Personally I like Thomas more than Stewart.
👍
@@TheMathSorcerer With your vast knowledge on math and various math books. Have you ever considered penning the greatest, authoritative calculus book known to mankind?
Some day I'll buy this book
Clutch recomendation, thx a lot
For elementary leval Thomas calculus is just unmatchable,I still have kept the copy which I have studied even after 16 years,but even after mugging up all the book you will just have good basics to start mathematics . recommended for beginners not for someone already have good foundation.
Thank you so much
JUST GOT THIS IM SO F-ING EXCITED WOOOOOOHOOOOOOOOOO
Over the past two years, I completed Calc 1, 2 and 3 with two different instructors. For Calc 1 and 3 we used the Thomas book and for Calc 2 we used the OpenStax book. In my opinion, the Thomas book was better than the OpenStax. That being said, I also have the Tan and Stewart calculus books and feel that either of these books are easier to read than Thomas. My Calc 1 and 3 instructor also required us to use the Pearson Online system for homework. Although I did not like the online system at the start, by the end of the class my opinion changed. The online system has many tools to help with doing the homework and better understanding the subject matter. For example, some of the problems could be solved step by step, other problems had additional videos explaining how to solve the problem and finally when the problem was completed the system offered the chance to redo the problem with different numbers.
My AP Calculus book was an 8th edition Thomas and Finney. When I got to university, I has to buy the Stewart book. While Stewart got the job done, the Thomas book really felt like there was extra care in describing the theory and examples. I even got a scan of an old copy to use as reference for vector calculus, which was really difficult!
I used the seventh edition when I was in college. I like this book, I consider it a good calculus book.
thanks
Sir please make videos on logarithmic inequalities.
I love the book club we have going.
I bought the 14th edition, my only gripe is that the pages are a bit thin and easily tearable. I think this is a great book for self learning! Nice video!
What is the best calculus book? This is all relative and a difficult question to answer. You need to add "best calculus book for what?"
For example, if you have little or no knowledge of calculus, you would want a book that YOU can learn from at your level.
If you already know some calculus, you may want a book that goes into greater and more rigourous detail.
When I was an undergraduate at CSULB I went around to several math professors and asked them what was the absolute best calculus book. The consensious was "Calculus Vol I and II" by Tom M. Apostol from CalTech, so I drove up to their book store in Pasadena and bought both volumes for $100.
Not knowing any calculus at all, and certainly not Caltech undergrad material, the books were absolutely worthless to me to learn calculus
After three semesters of calculus and one semester of Analysis, I went back to Apostol's books and dang those books were really good. I really learned a heck of a lot of math. Filled in a lot of blanks. One of the best book buys ever.
One of the best complex analysis books around is by Levinson and Redheffer. Would I recommend it to someone totally new to complex analysis? No, I would recommend the book by Churchill, 1st Ed, 1948 no less. Easier (in my opinion) to learn from then the later ones with Brown.
Thank you so much for this comment!
Currently I'm reading this one
I'm at chapter 5
Problems gives pretty good insight
Ah, my school uses Ed. 14, but your Chpt 5 is integration I think still? I love this book, cause it made things make sense.
Nice video sir
I scooped this textbook up for $5!! That was a steal.
I had Thomas's calculus for my calculus course in university. The next semester the course changed to using Stewart. However, I didn't use Thomas's book because I'd done AP calculus in school and preferred it (still do!) - it has one of the best explanations I've seen for some fundamental topics like limits, IVT and directional derivatives, though it's slightly less well know. It's Calculus by Robert Ellis and Denny Gulick, if anyone is interested to check it out.
I had a Thomas and Finney in High School if memory serves. Might have been undergrad EE. But I think it was High School, but there's also Anton and of course Strang. These guys were giants.
You love the smell of new books. You love the smell of old books. I'm beginning to think you just like books, full stop!
Yes😀
Great vid
Another awesome video :). Math Sorcerer, could you be so kind as to give your opinion on - Calculus: An Intuitive and Physical Approach 2nd Edition by Morris Kline?
I have both the 3rd (1960) and 4th (1968) editions of Thomas and they are my favorite calculus books. The 4th edition covers more vector calculus than the previous editions and it has more coverage of the epsilon-delta proofs of limits. I was wondering when you would review Thomas! 🙂
❤️
Had finished teaching myself trigonometry and algebra during summer holiday and basically the basics of math, and now that in my senior year of high school, I thought I would learn calculus with my teachers from school, unfortunately that hope didn’t go well, so now starting to teach myself basics of calculus 😊
also a simple trick to kind of understand limits, it is basically is two lines ,one from left and one from right comes to one single point, whether that point is shaded of not we have limit; mentioned limit since that’s first step to enter calculus world 😂
I like the order of chapters in this book. It seems really reasonable for applied maths major. Although I am not fan of the exmplanation of the technique at 7:07, since it teaches you some stupid algorithm which is basically integration by parts with some arrows. Idk, I think instead of thinking of this when you see such an integral, you should imidiatelly think “ohh this is integration by parts”. However, I must admit, that the algorithm makes it much faster
Morris Kline is a really fun read
This was my undergrad calc book, it really is the best.
👍
I've been hoping to learn calculus but I was feeling a bit intimidated by the huge book and all the equations. But I code 3d hobby computer projects, and then you mention that points on a plane have a dot product of zero to the normal I went, "yeah obviously". So maybe some day I'll think the same thing about calculus.
When I learned calculus at community college, we used Stewart's Early Transcendentals. However, I had one professor who constantly pull practice problems from Thomas Calculus, as it provided more unique problems and more challenging problems than what Stewart's provided.
Interesting!
Yes...thomas finney is good book for calculus...and also good for multiple integrals...
Indeed a perfect calculus book. Calculus by Spivak is another perfect book.
Perhaps, but Spivak is not so much a calculus text as a basic Real Analysis or "advanced calculus" course text. It's something that should not be read until after you've covered writing and comprehending proofs.
Sir please see jee advance calculus problem. It is a exam which is given by high school guys in India
I read multiple integrals from thomas finey in my BTech 1st year.
My favorite and imo the prefect Calculus book is Third Edition Calculus by Pearson Briggs, Cochran, Gillett, and Schulz.
Very good sir . This book study in iraq and many arbic countries. Its very good in university
I could only find the 14th edition on Amazon, so I got it and the student solutions manual.
The book I’ve been using these days.
most of the books are similar .. it's just the order of the topics for example FODE comes before infinite series or after vector fields however non of them started with integration before differentiation .. although it seems harder however in my opinion it would be more enjoyable because would give the feeling of creating the calculus.
You are very very much good for students l ❤ you from 🇮🇳India
❤️
It would be a lot more work, but could you post a weekly video where in week 1 you have 10 selected problems from various books in your library, then in week two go over the solutions? or maybe once a month?
I just buy the eighth edition two weeks ago. I can not wait to start in. Before I do that I need to finish the precalculus book also by Stewart I am currently reading.
Nice!
btw I meant "bought" not "buy"
Interestingly this book has been so revised now by the three authors listed below Thomas: Hass, Heil and Weir, that Amazon no longer lists Thomas as the author for the 2019 edition (at least the SI Units edition I'm looking at). Thomas is still mentioned in the title of the book to make it findable.
Yeah it’s very different! It’s also kind of cool that the original authors name is just the title now.
I was familiar with Thomas & Finney, which itself has been updated across several editions by the publishers.
When did the Authors of 'Thomas Calculus' decide to relaunch a book & what particular improvisations did they incorporate.
I think a review on this needs to be uploaded
I wanna buy it now
Hi Math sorcerer, can you please create a video on all various branches of mathematics and how those are related.
👍👍
Wow you are a bengali!?
What do you think about Calculus: An Intuitive and Physical Approach by Morris Kline ?
do one for the best signal processing books
Interesting. With the typical discussions of Stewart and Spivak, etc. one doesn't see Thomas mentioned much. When I was an Engineering student in the early 1970's we used Thomas Calculus 3rd addition. It was always easy to identify a young Engineering, Science, or Math major as they lugged around their light blue Thomas Calculus book. I think it might have been the most popular Calculus book at the time, but I don't know that. Of course as an Engineering major I probably didn't appreciate calculus as much as the math majors. I think I appreciate it more now.
I am an older guy who used the first edition of Earl Swokowski's Calculus with Analytic geometry in the late 1970s.. 19 chapters to get through 3 semesters. That was nearly two generations ago. I wonder how that book compares to this one featured here. I am thinking of getting into it again this autumn - first time in 44 years. I have forgotten so much, and so much I did not understand at the time. Another text might be welcome as well.
Im hoping this christmas I'll have enough spending money to buy Terrance Taos Analysis,
I think I'm still 1-2 years from understanding it, but T. Tao is a god! haha
I'd really love to see how he approached real analysis
In France we always use Taylor series with remainder in little o notation to solve indeterminate limits. The hôpital rule is frowned upon.
Hello Sorcerer! I Thank you for such a wonderful video. I started reading Calculus Early Transcendentals (13th edition). Could you recommend what book to read after finishing it?
I'm interested in applying math in programming (ex. deep learning).
I want to learn optimization, but couldn't find a book with rich examples.
Any help will be appreciated! 👍
Sir please make a review vodeo on ART OF PROBLEM SOLVING math seriese.
If you had to choose between this book or Stewart's calc book, which would you recommend more?
Thank you for all the content you have been sharing with us, so my question is do you have to solve all of the exercises when learning thick books like these??
Nope only if you want to …but there are so many it would take forever!! It’s probably better to do as many as it takes until you feel good about the material.
@@TheMathSorcerer Thank you so much
The difference in naming conventions is kinda funny. During my mathematical studies (Czech Technical University in Prague) we never used the term "calculus". We used "mathematical analysis" (I, II, III, IV, complex analysis, functional analysis).
So it seems "calculus" is what you probably use for "mathematics for engineers"!?!
Could you please do something similar for ODE and PDE.
It would be interesting to get your opinion on Calculus Early Transcendentals by Stewart.
Yeah can't say I ever came across tabular integration. Pretty cool.
You should really check out Calculus by Tom M Apostol. Its a great book that not only covers all the basics but also establishes the connection between complex numbers, linear algebra and calculus. It has two volumes, the first of which deals with single variable functions and the basics of linear algebra, and the second deals with multivariable functions and advanced linear algebra. You should definitely check it out and do a review on it.
I've been looking for a book of Calculus of several variables. Can you suggest me a good one? I have Apostol 1&2. I haven't read it yet. But I want to start several variables' Calculus and I need a really good book for self study. Can you suggest one? Also please mention that to read and understand your suggested book, from where I need to read the calculus of single variable.
@@pritamroy9320 why do you want to start several variables when you havnt started your first variable books?
Interesting. I don’t think my Larson text covers PDEs
Im a bit surprised there is only a Thomas textbook as I have a Thomas/Finney textbook going back from like 25-30 yrs ago....re late 1980s to early 1990s. Maybe they split and got back together as authors....dont know.
I have heard so often that the Spivak textbook is the father of fathers re texts on Calculus. Even tho i do have a copy, havent really gone thru it and is now packed away in my boxes.
Lmao "I'm just gonna give it a whif"
Love ya Math Sorcerer
They have the 15th edition with 2 more chapters added, but no solutions manual with it.
Hey math sorcerer, I want an advice " How to study effectively (or say ROCKED) proof based math courses "
I used Thomas & Finney: Calculus & Analytic Geometry when I first learned calculus. I'm guessing the analytic geometry angle was to gear the book toward engineering students?
Please review best number theory book
Hey I have this one!!!
awesome!
Can you recommend a quality probability math book? Thank you
Hi sir, I want to know which igcse additional mathematics textbook latest edition you recommend for igcse students there are some options like hese additional mathematics textbook, collins textbook and Cambridge textbook plz reply I want to buy for my son He loves maths
I'd be grateful if someone could tell me if the (13th editions of) Thomas' ' Single Variable' and 'Multivariable Calculus' together constitute the equivalent of this reviewed work?
whats a good pre calculus book
De acuerdo thomas y stewart , leithold , también...... saludos greetings
Saludos!
@@TheMathSorcerer el profe sabe español bien...
Si❤️
@@TheMathSorcerer greetings Froom colombia south América, the best coffe of the world.
Can you do a video on how to deal with toxic math professors ?
90% of faculty is good but there are few (with tenure) who teach a specialized class and make it really difficult to learn due to their behavior/rude teaching style.
Great idea thank you!
Introduction to graph theory by richard trudeau. What do you think of it?
I was just about to say this book looks a lot like my stewart calculus book. same chapter order similar all around look