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Elementary Analysis : The Theory of Calculus

Elementary Analysis : The Theory of Calculus - 80 edition

ISBN13: 978-0387904597

Cover of Elementary Analysis : The Theory of Calculus 80 (ISBN 978-0387904597)
ISBN13: 978-0387904597
ISBN10: 038790459X Edition: 80
Copyright: 1980
Publisher: Springer-Verlag New York
Published: 1980
International: No

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Elementary Analysis : The Theory of Calculus - 80 edition

ISBN13: 978-0387904597

K. A. Ross

ISBN13: 978-0387904597
ISBN10: 038790459X Edition: 80
Copyright: 1980
Publisher: Springer-Verlag New York
Published: 1980
International: No
Summary

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.

Author Bio

Ross,Kenneth A. : University of Oregon

Table of Contents

Introduction
Sequences
Continuity
Sequences and Series of Functions
Differention
Integration
Appendix on Set Notation
Selected Hints and Answers

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Cover of Elementary Analysis : The Theory of Calculus 2nd edition

Elementary Analysis : The Theory of Calculus - 2nd edition

ISBN13: 978-1461462705
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