Undergraduate Analysis / Edition 2

Undergraduate Analysis / Edition 2

by Serge Lang
     
 

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ISBN-10: 1441928537

ISBN-13: 9781441928535

Pub. Date: 12/01/2010

Publisher: Springer New York

This logically self-contained introduction to analysis centers around those properties that have to do with uniform convergence and uniform limits in the context of differentiation and integration.

From the reviews: "This material can be gone over quickly by the really well-prepared reader, for it is one of the book’s pedagogical strengths that the

Overview

This logically self-contained introduction to analysis centers around those properties that have to do with uniform convergence and uniform limits in the context of differentiation and integration.

From the reviews: "This material can be gone over quickly by the really well-prepared reader, for it is one of the book’s pedagogical strengths that the pattern of development later recapitulates this material as it deepens and generalizes it." --AMERICAN MATHEMATICAL SOCIETY

Product Details

ISBN-13:
9781441928535
Publisher:
Springer New York
Publication date:
12/01/2010
Series:
Undergraduate Texts in Mathematics Series
Edition description:
Softcover reprint of hardcover 2nd ed. 1997
Pages:
642
Product dimensions:
1.33(w) x 9.21(h) x 6.14(d)

Table of Contents

Chapter 0: Sets and Mappings
Chapter 1: Real Numbers
Chapter 2: Limits and Continuous Functions
Chapter 3: Differentiation
Chapter 4: Elementary Functions
Chapter 5: The Elementary Real Integral
Chapter 6: Normed Vector Spaces
Chapter 7: Limits
Chapter 8: Compactness
Chapter 9: Series
Chapter 10: The Integral in One Variable
Appendix: The Lebesgue Integral
Chapter 11: Approximation with Convolutions
Chapter 12: Fourier Series
Chapter 13, Improper Integrals
Chapter 14: The Fourier Integral
Chapter 15: Calculus in Vector Spaces
Chapter 16: The Winding Number and Global Potential Functions
Chapter 17: Derivatives in Vector Spaces
Chapter 18: Inverse Mapping Theorem
Chapter 19: Ordinary Differential Equations
Chapter 20: Multiple Integration
Chapter 22: Differential Forms
Appendix

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