Undergraduate Analysis (Undergraduate Texts in Mathematics) - Hardcover

Lang, Serge

4.1

21 ratings by Goodreads

9783540908005: Undergraduate Analysis (Undergraduate Texts in Mathematics)

Hardcover

ISBN 10: 3540908005 ISBN 13: 9783540908005

Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. K, 1983

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This is a self-contained introduction to analysis for students who have had two years of calculus. Topics discussed include the classical test for convergence of series, Fourier series, polynomial approximation, the Poisson kernel, and the construction of harmonic functions on the disc. Other topics discussed include ordinary differential equations, curve integrals, derivatives in vector spaces, multiple integrals, and others. The text aims to achieve a balance between concrete examples and general theorems, augmented by a variety of examples.

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Review:

Second Edition

S. Lang

Undergraduate Analysis

"[A] fine book . . . logically self-contained . . . 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

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