Analysis II Differential and Integral Calculus, Fourier Series, Holomorphic Functions /

Functions in R and C, including the theory of Fourier series, Fourier integrals and part of that of holomorphic functions, form the focal topic of these two volumes. Based on a course given by the author to large audiences at Paris VII University for many years, the exposition proceeds somewhat nonl...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Godement, Roger (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2005.
Edición:1st ed. 2005.
Colección:Universitext,
Temas:
Functions of real variables.
Measure theory.
Real Functions.
Measure and Integration.
Acceso en línea:Texto Completo

MARC

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245 1 0 |a Analysis II  |h [electronic resource] :  |b Differential and Integral Calculus, Fourier Series, Holomorphic Functions /  |c by Roger Godement. 
250 |a 1st ed. 2005. 
264 1 |a Berlin, Heidelberg :  |b Springer Berlin Heidelberg :  |b Imprint: Springer,  |c 2005. 
300 |a VII, 448 p. 20 illus.  |b online resource. 
336 |a text  |b txt  |2 rdacontent 
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338 |a online resource  |b cr  |2 rdacarrier 
347 |a text file  |b PDF  |2 rda 
490 1 |a Universitext,  |x 2191-6675 
505 0 |a 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. 
520 |a Functions in R and C, including the theory of Fourier series, Fourier integrals and part of that of holomorphic functions, form the focal topic of these two volumes. Based on a course given by the author to large audiences at Paris VII University for many years, the exposition proceeds somewhat nonlinearly, blending rigorous mathematics skilfully with didactical and historical considerations. It sets out to illustrate the variety of possible approaches to the main results, in order to initiate the reader to methods, the underlying reasoning, and fundamental ideas. It is suitable for both teaching and self-study. In his familiar, personal style, the author emphasizes ideas over calculations and, avoiding the condensed style frequently found in textbooks, explains these ideas without parsimony of words. The French edition in four volumes, published from 1998, has met with resounding success: the first two volumes are now available in English. 
650 0 |a Functions of real variables. 
650 0 |a Measure theory. 
650 1 4 |a Real Functions. 
650 2 4 |a Measure and Integration. 
710 2 |a SpringerLink (Online service) 
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776 0 8 |i Printed edition:  |z 9783540800828 
776 0 8 |i Printed edition:  |z 9783540209218 
830 0 |a Universitext,  |x 2191-6675 
856 4 0 |u https://doi.uam.elogim.com/10.1007/3-540-29926-2  |z Texto Completo 
912 |a ZDB-2-SMA 
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950 |a Mathematics and Statistics (SpringerNature-11649) 
950 |a Mathematics and Statistics (R0) (SpringerNature-43713) 

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