Elementary Analysis by Kenneth Allen Ross

Skip to product information
1 of 1

Elementary Analysis by Kenneth Allen Ross

Regular price
Checking stock...
Regular price
Checking stock...
Proud to be B-Corp

Our business meets the highest standards of verified social and environmental performance, public transparency and legal accountability to balance profit and purpose. In short, we care about people and the planet.

The feel-good place to buy books
  • Free shipping in the US over $10
  • Supporting authors with AuthorSHARE
  • 100% recyclable packaging
  • Proud to be a B Corp – A Business for good
  • Sell-back with World of Books - Sell your Books

Elementary Analysis by Kenneth Allen Ross

Designed for students having no previous experience with rigorous proofs, this text can be used immediately after standard calculus courses. It is highly recommended for anyone planning to study advanced analysis, as well as for future secondary school teachers. A limited number of concepts involving the real line and functions on the real line are studied, while many abstract ideas, such as metric spaces and ordered systems, are avoided completely. A thorough treatment of sequences of numbers is used as a basis for studying standard calculus topics, and optional sections invite students to study such topics as metric spaces and Riemann-Stieltjes integrals.
From the reviews: KA. Ross Elementary Analysis The Theory of Calculus "This book is intended for the student who has a good, but naive, 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)
SKU Unavailable
ISBN 13 9781441928115
ISBN 10 1441928111
Title Elementary Analysis
Author Kenneth Allen Ross
Series Undergraduate Texts In Mathematics
Condition Unavailable
Binding type Paperback
Publisher Springer-Verlag New York Inc.
Year published 2010-11-10
Number of pages 272
Cover note Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
Note Unavailable