Advanced Calculus: An Introduction to Classical Analysis

by Louis Brand

Overview

A course in analysis dealing essentially with functions of a real variable, this text for upper-level undergraduate students introduces the basic concepts in their simplest setting and proceeds with numerous examples, theorems stated in a practical manner, and coherently expressed proofs. 1955 edition.

Product Details

ISBN-13:	9780486445489
Publisher:	Dover Publications
Publication date:	01/30/2006
Series:	Dover Books on Mathematics Series
Pages:	608
Product dimensions:	5.50(w) x 8.50(h) x (d)

Table of Contents

1. The Number System
2. Sequences and Series
3. Functions of a Real Variable
4. Functions of Several Variables
5. Vectors
6. The Definite Integral
7. Improper Integrals
8. Line Integrals
9. Multiple Integrals
10. Uniform Convergence
11. Functions of a Complex Variable
12. Fourier Series
Appendixes
Comprehensive Test
Answers to Problems
Index