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Elementary Analysis: The Theory of Calculus

3.83  ·  Rating details ·  135 ratings  ·  6 reviews
For over three decades, this best-selling classic has been used by thousands of students in the United States and abroad as a must-have textbook for a transitional course from calculus to analysis. It has proven to be very useful for mathematics majors who have no previous experience with rigorous proofs. Its friendly style unlocks the mystery of writing proofs, while care ...more
Hardcover, 412 pages
Published April 17th 2013 by Springer (first published January 14th 1980)
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Umran Haji
Dec 11, 2018 rated it it was amazing
This is a tremendous introduction to real analysis. Elitists seem to disparage this book in favor of the ubiquitous Rudin, yet I cannot fathom why. The biggest shortcoming of Ross relative to Rudin is that Rudin includes some more advanced content that makes it able to be used for a two-semester course. Ross ends at the Riemann-Stieltjes integral while Rudin goes beyond to other topics like vector analysis and measure theory. But there is nothing wrong with using Ross for a semester and then mov ...more
Jonathan Keogh
Apr 09, 2020 rated it it was amazing  ·  review of another edition
This is one of the best introductions to rigorous mathematics! Looking back now, to when I was 18 and had no idea what the proper definition of a limit was, it was this book that gently eased me into proper college mathematics through a self-contained, purely proof-based, introduction to analysis. After this, I was able to pick up other more advanced books on my own, and continue my mathematical journey without anymore hand-holding.

I find it odd that one would disparage this book because it is
Dec 19, 2015 rated it liked it  ·  review of another edition
This is not a bad introduction to the subject. My favorite feature of the book is that it is so efficient to the point and big picture of Analysis. However, I have found a few frustrating typos that have confused students, and proofs not always given in the clearest possible way. Perhaps worse than that is that the book omits much for the sake of efficiency. That's makes it good as book in-between the baking-recipe style James Stewart Calculus type texts and the much more mature Rudin styled Ana ...more
Todd (theRealChainman) Chaney
I don't remember quite well cause I read the book 6 months ago for my summer Real Analysis course. I know that I had to supplement it by reading other textbooks in order to get a better understanding of the mathematical concepts. It felt like the book just provided you the information but lacked explaining the concept.
Xiaojie Johan
Nov 13, 2019 rated it it was amazing
Shelves: mathematics
Great, easy and simple reading on elementary analysis!
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