Undergraduate Analysis

2nd ed. 1997

by Serge Lang

Book Details

Format Hardback or Cased Book

Book Series Undergraduate Texts in Mathematics

ISBN-10 0387948414

ISBN-13 9780387948416

Edition 2nd ed. 1997

Publisher Springer-Verlag New York Inc.

Imprint Springer-Verlag New York Inc.

Country of Manufacture GB

Country of Publication GB

Publication Date Dec 5th, 1996

Print length 642 Pages

Weight 1,144 grams

Dimensions 24.20 x 16.60 x 4.20 cms

Product Classification: Calculus & mathematical analysis

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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.

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

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