Undergraduate Analysis

Name: Undergraduate Analysis
Price: 70.07 USD
Availability: InStock
ISBN: 9780387948416

ISBN-10: 0387948414

ISBN-13: 9780387948416

Edition: 2nd 1997 (Revised)

Authors: Serge A. Lang

List price: $79.95

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Description:

This is a logically self-contained introduction to analysis, suitable for students who have had two years of calculus. The book centers around those properties that have to do with uniform convergence and uniform limits in the context of differentiation and integration. Topics discussed include the classical test for convergence of series, Fourier series, polynomial approximation, the Poisson kernel, the construction of harmonic functions on the disc, ordinary differential equation, curve integrals, derivatives in vector spaces, multiple integrals, and others. One of the author's main concerns is to achieve a balance between concrete examples and general theorems, augmented by a variety of…

Book details

List price: $79.95
Edition: 2nd
Copyright year: 1997
Publisher: Springer New York
Publication date: 12/5/1996
Binding: Hardcover
Pages: 642
Size: 6.10" wide x 9.25" long x 0.53" tall
Weight: 2.640
Language: English

Lang, Yale University, New Haven, CT.




Sets and Mappings



Real Numbers



Limits and Continuous Functions



Differentiation



Elementary Functions



The Elementary Real Integral



Normed Vector Spaces



Limits



Compactness



Series



The Integral in One Variable


Appendix: The Lebesgue Integral



Approximation with Convolutions



Fourier Series



Improper Integrals



The Fourier Integral



Calculus in Vector Spaces



The Winding Number and Global Potential Functions



Derivatives in Vector Spaces



Inverse Mapping Theorem



Ordinary Differential Equations



Multiple Integration



Differential Forms


Appendix