Calculus 3rd Edition

by Michael Spivak (Author)

118 customer reviews

ISBN-13: 978-0914098898

ISBN-10: 0914098896

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Product details

Hardcover: 670 pages
Publisher: Publish or Perish; 3 edition (September 1, 1994)
Language: English
ISBN-10: 0914098896
ISBN-13: 978-0914098898
Product Dimensions: 1.5 x 9.2 x 10.2 inches
Shipping Weight: 4 pounds
Average Customer Review: 118 customer reviews
Amazon Best Sellers Rank: #1,090,126 in Books (See Top 100 in Books)
- #987 in Books > Textbooks > Science & Mathematics > Mathematics > Calculus
- #1655 in Books > Science & Math > Mathematics > Pure Mathematics > Calculus

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Robert C.

I do not believe it is possible to truly understand what a limit is if you don't read something like this. I am appalled at calc

March 11, 2017

Format: HardcoverVerified Purchase

I disagree with the people who say this book is not for people who have never seen calculus before. Quite the contrary. This is the book you want so that you don't have to unlearn what you were taught in calculus to move on to higher math.

Furthermore, I do not believe it is possible to truly understand what a limit is if you don't read something like this. I am appalled at calculus curricula at colleges and universities that just expect you to memorize rules and drill problems over and over; I prefer knowing exactly why something is true before doing any problems. I also prefer fully 100% understanding every single reason a theory works, so this book is perfect for me, though it doesn't construct the real numbers from the rationals. This is a prerequisite to understanding limits because if you don't understand what irrational numbers are first, then you'll never understand what is meant by "infinitely close," period. So I recommend you buy "Understanding Analysis" by Stephen Abbott with this book, and read ch1 of Abbott before this. That way you'll know what a real number actually is, by the way, it's the limit of a sequence of rational numbers, but don't worry, Abbott ch 1 is incredibly well written and you'll get it if you just read it and think about why it makes sense. If you want a little deeper of an understanding than Abbott (which is splitting hairs, and few could pull it off, but the man I'm about to name is one of the few who can) then take a look at "Analysis 1" by Terrance Tao. I'd read either of these analysis books before or concurrently with Spivak, and I might also suggest grabbing a copy of "Single Variable Calculus: Concepts and Contexts" 4th edition, by James Stewart in order to see the applications of things like the integral and in order to get a better idea of how modern courses have a working understanding of the subject in general. Sometimes it's just good to be up to date with things.

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DO NOT BUY THIS BOOK IF YOU HAVE NEVER SEEN CALCULUS BEFORE!!!!!!!

May 5, 2016

Format: HardcoverVerified Purchase

For anyone who has never seen calculus before, this book is ABSOLUTELY NOT FOR YOU! This book as others have said is essentially an introduction to real analysis book. A lot of people in the more negative reviews say they aren't sure where this book fits in, well I'll tell you. If you just take some calculation heavy calculus course geared towards engineers and then sign up for a real analysis class expecting to do well you are going to get ABSOLUTELY SLAUGHTERED. Real analysis has virtually NO computational problems, nearly all of them are proofs. Thats where this book comes in, the proofs and exposition of this book are the absolute most explicit i have ever seen. Spivak goes to incredible pains to explain every detail of his proofs and give you intuition for how and why things work. I have never seen this in another mathematics text before ever. You will not be granted the same level of explicit detail in a real analysis class I can guarantee you that right now. THis book serves as a utensil to build your mathematical muscles and get accustomed to Real analysis proofs and how to think about calculus , if you study and work most of the problems in this book you will do very well in real analysis. You might say to me " well you just take a class on mathematical proofs and logic to get ready for upper level math classes" No you absolutely don't. The trivial nonsense proofs by induction and amateur proofs you do in a class like that are no where near the level of preparation you need to feel comfortable with proofs. You need a book like this as far as im concerned to get accustomed to how Analysis proofs work. This book taught me how to think. Let me make something clear. I bought this book initially based on the rave reviews on this site. I was just as frustrated and angry as all of the other reviewers who gave this book negative reviews. I took a couple calculus classes and then when I came back to Spivak it was a completely different book to me, Upon my second attempt at reading it I was absolutely astonished at how crystal clear he was making everything I had read in single variable calculus. He was destroying any and all confusion with topics i learned from reading Stewarts calculus one page at a time. And I wasn't intimidated by the problems, in fact it was the first time I'd ever appreciated difficult problems and was actually excited to work through them and see if I could prove them. I love this book. I hope it never goes out of print.

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