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Elementary Analysis : The Theory of Calculus

Elementary Analysis : The Theory of Calculus - 80 edition

Elementary Analysis : The Theory of Calculus - 80 edition

ISBN13: 9780387904597

ISBN10: 038790459X

Elementary Analysis : The Theory of Calculus by K. A. Ross - ISBN 9780387904597
Cover type: Hardback
Edition: 80
Copyright: 1980
Publisher: Springer-Verlag New York
Published: 1980
International: No
Elementary Analysis : The Theory of Calculus by K. A. Ross - ISBN 9780387904597

ISBN13: 9780387904597

ISBN10: 038790459X

Cover type: Hardback
Edition: 80

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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

Table of Contents

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

Other Editions of Elementary Analysis : The Theory of Calculus

Elementary Analysis: The Theory of Calculus by Kenneth A. Ross - ISBN 9781461462705
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