The Perfect Calculus Book

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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.

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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

saeedsaleh

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

domc

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.

JackMenendez

Having taught calculus for 20 years, I have to say I agree ! I love this book!

jasonmalozzi

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!

boogerie

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.

scottbrodie

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.

mikeyboy

Just love watching every video you make...

AceOfHearts

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.

nexigram

*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.*

paramveerjain

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.

WaelAjam

These book reviews are so informative and entertaining, thank you for your infectious passion

valoraz

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

nmad

I studied calculus with Thomas, and it was literally great book. Personally I like Thomas more than Stewart.

DanielKang-tv

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.

ImranMoezKhan