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Titlebook: Analysis I; Convergence, Element Roger Godement Textbook 20041st edition Springer-Verlag Berlin Heidelberg 2004 Banach Space.Fourier.Fourie

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期刊全称Analysis I
期刊简称Convergence, Element
影响因子2023Roger Godement
视频video
发行地址Prefers ideas to calculations.Explains the ideas without parsimony of words.Based on 35 years of teaching at Paris University.Blends mathematics skilfully with didactical and historical considerations
学科分类Universitext
图书封面Titlebook: Analysis I; Convergence, Element Roger Godement Textbook 20041st edition Springer-Verlag Berlin Heidelberg 2004 Banach Space.Fourier.Fourie
影响因子.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..
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Powers, Exponentials, Logarithms, Trigonometric Functions,ch crop up everywhere in analysis. In this chapter we shall go over it all systematically. One can do this in various ways, each as instructive as the other. A first method (no 1 to 8) consist s of erecting the theory from a minimum of knowledge, in particular using neither the theory of power serie
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https://doi.org/10.1007/978-3-642-18491-8Banach Space; Fourier; Fourier series; analytic functions; calculus; convergence; derivations; integrals; in
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978-3-540-05923-3Springer-Verlag Berlin Heidelberg 2004
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Preface: Individualized Digital Learningch crop up everywhere in analysis. In this chapter we shall go over it all systematically. One can do this in various ways, each as instructive as the other. A first method (no 1 to 8) consist s of erecting the theory from a minimum of knowledge, in particular using neither the theory of power serie
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