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An Introduction to Analysis

Second Edition

 

James R. Kirkwood

 

An Introduction to Analysis, Second Edition provides a mathematically rigorous introduction to analysis of real-valued functions of one variable. The text is written to ease the transition from primarily computational to primarily theoretical mathematics. Numerous examples and exercises help students to understand mathematical proofs in an abstract setting, as well as to be able to formulate and write them. The material is as clear and intuitive as possible while still maintaining mathematical integrity. The author presents abstract mathematics in a way that makes the subject both understandable and exciting to students.

Buck, Advanced Calculus, 3/E

 

$59.95 list, 278 pages

10-digit ISBN: 1-57766-232-6

13-digit ISBN: 978-1-57766-232-7

© 1995

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Table of Contents

 

Introduction

1. The Real Number System

2. Sequences of Real Numbers

3. Topology of the Real Numbers

4. Continuous Functions

5. Differentiation

6. Integration

7. Series of Real Numbers

8. Sequences and Series of Functions

9. Fourier Series

Appendix. Hints and Answers for Selected Exercises