A First Course in Real Analysis

A First Course in Real Analysis

Paperback(2nd ed. 1991. Softcover reprint of the original 2nd ed. 1991)

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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.

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