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Table of contents (6 chapters)
Keywords
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Reviews
From the reviews:
K.A. Ross
Elementary Analysis
The Theory of Calculus
"This book is intended for the student who has a good, but naïve, understanding of elementary calculus and now wishes to gain a thorough understanding of a few basic concepts in analysis, such as continuity, convergence of sequences and series of numbers, and convergence of sequences and series of functions. There are many nontrivial examples and exercises, which illuminate and extend the material. The author has tried to write in an informal but precise style, stressing motivation and methods of proof, and, in this reviewer’s opinion, has succeeded admirably."—MATHEMATICAL REVIEWS
"This book occupies a niche between a calculus course and a full-blown real analysis course. … I think the book should be viewed as a text for a bridge or transition course that happens to be about analysis … . Lots of counterexamples. Most calculus books get the proof of the chain rule wrong, and Ross not only gives a correct proof but gives an example where the common mis-proof fails." (Allen Stenger, The Mathematical Association of America, June, 2008)
Authors and Affiliations
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Bibliographic Information
Book Title: Elementary Analysis
Book Subtitle: The Theory of Calculus
Authors: Kenneth A. Ross
Series Title: Undergraduate Texts in Mathematics
DOI: https://doi.org/10.1007/978-1-4757-3971-8
Publisher: Springer New York, NY
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eBook Packages: Springer Book Archive
Copyright Information: Springer-Verlag New York 1980
eBook ISBN: 978-1-4757-3971-8Published: 17 April 2013
Series ISSN: 0172-6056
Series E-ISSN: 2197-5604
Edition Number: 1
Number of Pages: VIII, 264
Topics: Analysis