Thomas' Calculus

by Joel R. Hass, Christopher E. Heil, Maurice D. Weir

<!--[if gte mso 9]> Normal 0 false false false <![endif]--> This text is designed for a three-semester or four-quarter calculus course (math, engineering, and science majors).

<!--[if gte mso 9]> <![endif]--> <!--[if gte mso 10]> <![endif]--> Thomas’ Calculus, Thirteenth Edition , introduces readers to the intrinsic beauty of calculus and the power of its applications. For more than half a century, this text has been revered for its clear and precise explanations, thoughtfully chosen examples, superior figures, and time-tested exercise sets. With this new edition, the exercises were refined, updated, and expanded–always with the goal of developing technical competence while furthering readers’ appreciation of the subject. Co-authors Hass and Weir have made it their passion to improve the text in keeping with the shifts in both the preparation and ambitions of today's learners.

Genres: Mathematics, Textbooks, Science, Calculus, Physics, Reference, Nonfiction

1184 pages, Hardcover

First published January 1, 1952

Reviews

[Moeen Sahraei]

Exceptionally great. This book is a treasure that gives you the marvelous ideas about one of the most common and yet important things in the world, the concept of the “Change”. Calculus is study of every aspect of the change. Newton started it and after him so many prominent mathematicians had given their contribution to evolve this beautiful field. Thomas is well versed in every part of the calculus and starts the book with some prerequisites like algebra, trigonometry, geometry and some other parts of college mathematics. Then he continues with Limits which is the corner stone of the rest of the book. After limits he explains thoroughly the concept of derivatives and their applications. And after that you will see integrals which is the most important prerequisite for probability and statistics. After integrals the second part of the book begins with differential equations and infinite series (some people find it a little challenging) and after that is Multi-variable calculus. Multi-variable differentiation is by far the most difficult part of the book especially the chapters about gradients and Lagrange multipliers, but multi-variable integrals is relatively easy to learn. In summary, it was a really enjoyable book to read. If you want to study probability, physics, programming or any other field of study that is pertinent to the concept of the change, you have no choice except learning calculus.

[Lily]

I AM FINISHED!!! *does a happy little victory dance!*

[Craig]

I studied from an earlier version of this book in college in 1980. Loved it then. My prof was Ross Finney (now deceased, like Thomas), at the time a co-author. A great book and a great teacher.

[Piotrekjablonski]

The best maths book i've ever seen. Perhaps, for some readers it may be too long, but every subject is explained in a very .. hmm... explicit way, which makes it an excellent self-study textbook.

[Haneen]

I spent one year and a half studying from this book and here is the story:

Calculus 1:
Fall 2010-2011
SuTuTh 10-10:50 am


Calculus 2:
Spring 2010-2011
SuTuTh 11-11:50 am


Calculus 3:
Fall 2011-2012
SuTuTh 9-9:50 am


The book is great..I enjoyed studying from it "for a while"...chapter 10 and 15 are horrible..but I finished calculus Finally..

[Nazir]

This book is naturally too vast to go through entirely, but it was my favorite calculus book in undergraduate. Everything from single and multivariable calculus is covered here. Some things on differential equations were left to be desired, but there are entire books on differential equations. This is a nice textbook for someone that just got into university and needs to take some calculus courses.

[Tarnparit]

Hopefully the last I’ll see of calculus.
————————————————————————Just a replacement for my actual textbook.
They say if you pass Cal II, you can do anything. And here I am, after passing Cal II, suffering in Cal III.

[Ieugrgtggt Rjrűu5h5h]

left me in tears

[Daniyal Nasir]

Good book for calculus and quite easy to to understand

[Saurabh Jha]

The twelfth edition of this book got me interested in mathematics 9 years ago. I finally got a chance to go through the thirteenth edition almost cover to cover; here's my review.

This is a very thorough introduction to single and multivariable calculus. Apart from things that are typically covered in college courses, it also includes things like epsilon-delta definition of limit, definition of definite integrals as the limit of Reimann sums, and a proof of the fundamental theorem. The single variable part in particular does a really good job in developing your intuition while giving you a great grounding in more formal aspects. It is a really great gateway to the more abstract parts of mathematics should you fancy studying that.

The major downside of this book is the exercises are very repetitive and a lot of them just involve manual computing rather then coming up with new insights. The way I used to ground my understanding was by attempting proofs of theorems by myself and checking with proofs from the book after I attempted them. I also used to work out in-text examples before looking at the solution. I think these helped me more in understanding the subject then mindlessly ploughing through repetitive problems would have.

Another major problem is a few of the proofs are just obscure. The worst example I have in mind is the proof of mixed derivative theorem in appendix; that proof was the ugliest I have ever seen in my life! Sadly, though the book obscures this fact, mixed derivative theorem seems crucial to how the variables are swapped in multiple integrals.

Despite some reservations though, I really enjoyed going through this book.

[Abdullah Jamal]

Impressive...Make me cry

[Goodfella]

You can learn calculus from this book, but you won't get any practical tips from it (except chapter 8). I think every edition makes this book worse, it's too big already.

[Rudaw Sorkan]

function

[Ryan Pennell]

In mathematical texts, Thomas stands out prominently, offering a depth of knowledge that captivates the reader. I find myself leaning towards Thomas over Stewart, appreciating the comprehensive understanding it provides. While the decision may lie with the publisher rather than the author, it's notable that the Thomas text goes beyond mere formulas, presenting rigorous proofs that elevate it as a work of art. The inclusion of advanced problems adds another layer, inviting students to delve into computer programming or try their hand at programming on a Ti-83 calculator, should they be inclined. It's more than a choice of textbooks; it's an exploration of mathematical possibilities.

[Mark]

The gold-standard traditional calculus textbook. (You need to be conversant in algebra and somewhat knowledgeable of trig.) This book has been through more than a dozen editions and it shows. It's slick, clear and easy to read (for a calculus text). Pretty graphs are everywhere, and the text and notes are very clean and clear. If you want the traditional, polished approach, this is it.

[WhitePDF Assistant]

One of the most assigned early-semester calculus texts. Clearer explanations than Stewart, more applied problems. The early chapters are well-paced; the later integration and series units ramp up fast. If your course is engineering-heavy, Thomas is the right pick. Full comparison with Stewart: whitepdf.com

[Sezin Mutlu]

son üniteyi bir az daha fazla çalışmalıyım. vector fields bombasını sona koymamak lazım gelirdi. ama harika ötesi başarılı bir kitap neredeyse duygulanıcam!!! bir buçuk yıl canıma okudu ama nihayet elveda ediyorum. umarım

[Maya Drouin]

This math book and I have been in a committed relationship for four years. There was love, there was confusion, and there were definitely some late night staring contests. I’m happy to say we’re parting on good terms. No drama, just mutual closure.

[Aron]

I went through basically 90% of the chapters and about 40% of the exercises and I can confidently say that this book made me fall in love with math. It was when I was taking my first course in calculus half a decade ago when I picked up this book and I was immediately hooked. I highly recommend.

[Igor Fomenko]

Very clear,very continiously with a lot of interesting examples and exercises.It`s not necessary to use other book to read this one.

[Adr]

Such an efficiently understandable explanation of just the right amount of knowledge required to further my interests in so many fields

[Muyu]

@2016-08-29 00:10:05

[Grant Durbahn]

brutal

[Alkano]

Can't believe I finished it last semester 😱
Also our profs call it as comics book made for calculus 💀

[mafi]

Esta bien. Lo use más que nada para repasar para cálculo II. Me sorprendió que según este lo usan en el MIT :)

[ArtilleryDave]

Personally not a fan of this book because I don't understand a lot of the theory and very less into problem solving, probably good for me when I'm in college and into Mathematics Major.

[Ammar]

They say all's well that ends well, but I'm in a new hell every time I open up this book

[Jonathan Kelly]

While reading this over the Fall term while enrolled in a university level Calculus III course, this book challenged my perception about mathematics by proposing and giving mathematical proof that there are three dimensions with rectangular coordinates, but there are also other coordinate systems besides rectangular (Cartesian) and polar such as spherical and cylindrical. This book gives a significant amount of information, and access to a related MyMathLab course and a skilled professor add a more complete set of sources of Calculus education.

[Zarish Fatima]

1 year reading this book. it was my first maths book coming in uni. I liked it some of it was foreign to me and always will be because we do not do graphic and computer mathematical problems. But it would have been cool if we did. It is nice book and designed for students early in their professional studies and does not have any complicated symbolization like in other calculus books i went through.

[Nadia]

bcos im going to have an exam 4 this paper on 2nd Nov then i've 2 use this book as a reference...i need it now..n going to really need it soon..huhuu..it do help a lot but sumtime quite confusing..but of cos the content of this book that i can say 4 now..it's MARVELLOUS..hehe..only 1 thing that a bit 'lece'..this book is very the berat lah..tebal sgt...nk buka pn susah..huhuuhuu