Elementary Analysis: The Theory of Calculus | Kenneth A. Ross

Elementary Analysis: The Theory of Calculus | Kenneth A. Ross | Back to the basics

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Elementary Analysi...

	Elementary Analysis: The Theory of Calculus Kenneth A. Ross Springer, 2003 - 272 pages average customer review:based on 19 reviews view larger image
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highly recommended

Designed for students having no previous experience with rigorous proofs, this text on analysis can be used immediately following standard calculus courses. It is highly recommended for anyone planning to study advanced analysis, e.g., complex variables, differential equations, Fourier analysis, numerical analysis, several variable calculus, and statistics. It is also recommended for future secondary school teachers. A limited number of concepts involving the real line and functions on the real line are studied. Many abstract ideas, such as metric spaces and ordered systems, are avoided. The least upper bound property is taken as an axiom and the order properties of the real line are exploited throughout. A thorough treatment of sequences of numbers is used as a basis for studying standard calculus topics. Optional sections invite students to study such topics as metric spaces and Riemann-Stieltjes integrals.

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Wonderful undergrad intro book without the overhead of topology

I love this book. I used it as an undergrad. In grad school I used it all the time to review simple proofs that I had forgot with too much topology. In addition, I used it to teach an advance high school student over the summer. However, there are a few proofs that I do not like. In addition, he makes some theorems that do not always hold with their proofs.

However, this is the best book I found for an undergrad that wants to explore analysis without having to tear into topology right away

Back to the basics

What an incredible math book and a great value. I picked this up to fill in some prerequisite knowledge and skill before starting a full on Real Analysis course in my new graduate program. I was stunned by how well the information is laid out and what care the author uses in guiding you through the process of proofs and other information. Simply said, the author is very cognizant of his own writing in addition to the material he is delivering. The examples are quite good and the explanations always make sense. There are FAR fewer places in this book that I have found myself not following the logic or stumbling on what the author is trying to point out or prove. Plus I am still shocked how inexpensive it is ...

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Elementary Analysis: The Theory of Calculus

Well written book. Tough construction is a real plus when you are dragging it around with you. The 12th edition has had the type reset so that it is easier to read.

book good, electronic version poor

This book is pretty good. I bought the online version to be able to copy extended formulas into a word program. It doesn't do it. After several attempts with Amazon customer service's suggested fixes, it still doesn't work.

reviews: page 1, 2, 3, 4

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