A First Course in Real Analysis

by Murray H. Protter, Charles B. Jr. Morrey

Overview

Many changes have been made in this second edition of A First Course in Real Analysis. The most noticeable is the addition of many problems and the inclusion of answers to most of the odd-numbered exercises. The book's readability has also been improved by the further clarification of many of the proofs, additional explanatory remarks, and clearer notation.

Product Details

ISBN-13:	9781461264606
Publisher:	Springer New York
Publication date:	10/23/2012
Series:	Undergraduate Texts in Mathematics
Edition description:	2nd ed. 1991. Softcover reprint of the original 2nd ed. 1991
Pages:	536
Product dimensions:	6.10(w) x 9.25(h) x 0.04(d)

Table of Contents

1: The Real Number System. 2: Continuity and Limits. 3: Basic Properties of Functions on R. 4: Elementary Theory of Differentiation. 5: Elementary Theory of Integration. 6: Elementary Theory of Metric Spaces. 7: Differentiation in R. 8: Integration in R. 9: Infinite Sequences and Infinite Series. 10: Fourier Series. 11: Functions Defined by Integrals; Improper Integrals. 12: The Riemann-Stieltjes Integral and Functions of Bounded Variation. 13: Contraction Mappings, Newton's Method, and Differential Equations. 14: Implicit Function Theorems and Lagrange Multipliers. 15: Functions on Metric Spaces; Approximation. 16: Vector Field Theory; the Theorems of Green and Stokes. Appendices.

Editorial Reviews

For students who have completed a standard course in calculus. Most notable among the changes that been made in this edition (first, 1977) are the addition of many problems and the inclusion of answers to most of the odd-numbered exercises (there are now more than a thousand exercises in all). Annotation c. Book News, Inc., Portland, OR (booknews.com)

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