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by K. A. Ross

Cover type: HardbackEdition: 80

Copyright: 1980

Publisher: Springer-Verlag New York

Published: 1980

International: No

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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.

**Ross,Kenneth A. : University of Oregon**

Introduction

Sequences

Continuity

Sequences and Series of Functions

Differention

Integration

Appendix on Set Notation

Selected Hints and Answers

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

Publisher Info

Publisher: Springer-Verlag New York

Published: 1980

International: No

Published: 1980

International: No

**Ross,Kenneth A. : University of Oregon**

Sequences

Continuity

Sequences and Series of Functions

Differention

Integration

Appendix on Set Notation

Selected Hints and Answers