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Analysis / 2. Differential and integral calculus, Fourier series, holomorphic functions.

Author: Roger Godement
Publisher: Berlin [u.a.] : Springer, 2005.
Series: Analysis, / Roger Godement ; 2; Universitext
Edition/Format:   Print book : EnglishView all editions and formats
Database:WorldCat
Summary:

Focuses on the functions in R and C, the theory of Fourier series, Fourier integrals and holomorphic functions. This book blends rigorous mathematics with didactical and historical considerations. It  Read more...

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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Roger Godement
ISBN: 9783540209218 3540209212
OCLC Number: 179901957
Description: VII, 443 S. : graph. Darst.
Contents: Differential and Integral Calculus.- The Riemann Integral.- Integrability Conditions.- The "Fundamental Theorem" (FT).- Integration by parts.- Taylor's Formula.- The change of variable formula.- Generalised Riemann integrals.- Approximation Theorems.- Radon measures in ? or ?.- Schwartz distributions.- Asymptotic Analysis.- Truncated expansions.- Summation formulae.- Harmonic Analysis and Holomorphic Functions.- Analysis on the unit circle.- Elementary theorems on Fourier series.- Dirichlet's method.- Analytic and holomorphic functions.- Harmonic functions and Fourier series.- From Fourier series to integrals.
Series Title: Analysis, / Roger Godement ; 2; Universitext
Responsibility: Roger Godement.
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From the reviews of the original French edition: "... The content is quite classical ... [...] The treatment is less classical: precise although unpedantic (rather far from the Read more...

 
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