WorldCat Identities

Godement, Roger

Overview
Works: 98 works in 493 publications in 8 languages and 5,254 library holdings
Genres: Textbooks 
Roles: Author
Classifications: QA155, 512
Publication Timeline
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Most widely held works by Roger Godement
Cours d'algèbre by Roger Godement( Book )

73 editions published between 1963 and 2005 in 4 languages and held by 647 WorldCat member libraries worldwide

Analyse mathématique by Roger Godement( Book )

70 editions published between 1998 and 2015 in 4 languages and held by 529 WorldCat member libraries worldwide

Suitable for both teaching and self-study, this text emphasizes ideas over calculations and, avoiding the condensed style frequency found in textbooks, explains these ideas without parsimony of words
Algebra by Roger Godement( Book )

43 editions published between 1958 and 1978 in 4 languages and held by 509 WorldCat member libraries worldwide

Analysis I : convergence, elementary functions by Roger Godement( Book )

29 editions published between 1998 and 2004 in English and French and held by 496 WorldCat member libraries worldwide

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
Zeta functions of simple algebras by Roger Godement( Book )

24 editions published between 1972 and 2008 in 3 languages and held by 445 WorldCat member libraries worldwide

Introduction a la theorie des groupes de Lie by Roger Godement( Book )

20 editions published between 1979 and 2004 in 4 languages and held by 196 WorldCat member libraries worldwide

Topologie algébrique et théorie des faisceaux by Roger Godement( Book )

13 editions published between 1958 and 2006 in 3 languages and held by 167 WorldCat member libraries worldwide

Analyse mathématique by Roger Godement( Book )

7 editions published between 2001 and 2002 in French and English and held by 117 WorldCat member libraries worldwide

Variétés differentiables [résumé des leçcons] by Roger Godement( Book )

17 editions published between 1959 and 1961 in 5 languages and held by 87 WorldCat member libraries worldwide

Notes on Jacquet-Langlands ̓theory by Roger Godement( Book )

4 editions published in 1970 in English and held by 37 WorldCat member libraries worldwide

Analysis by Roger Godement( Book )

11 editions published in 2015 in English and held by 30 WorldCat member libraries worldwide

Volume III sets out classical Cauchy theory. It is much more geared towards its innumerable applications than towards a more or less complete theory of analytic functions. Cauchy-type curvilinear integrals are then shown to generalize to any number of real variables (differential forms, Stokes-type formulas). The fundamentals of the theory of manifolds are then presented, mainly to provide the reader with a "canonical'' language and with some important theorems (change of variables in integration, differential equations). A final chapter shows how these theorems can be used to construct the compact Riemann surface of an algebraic function, a subject that is rarely addressed in the general literature though it only requires elementary techniques. Besides the Lebesgue integral, Volume IV will set out a piece of specialized mathematics towards which the entire content of the previous volumes will converge: Jacobi, Riemann, Dedekind series and infinite products, elliptic functions, classical theory of modular functions and its modern version using the structure of the Lie algebra of SL(2,R)
Analysis by Roger Godement( Book )

7 editions published in 2015 in English and held by 24 WorldCat member libraries worldwide

Analysis volume IV introduces the reader to functional analysis (integration, Hilbert spaces, harmonic analysis in group theory) and to the methods of the theory of modular functions (theta and L series, elliptic functions, use of the Lie algebra of SL2). As in volumes I to III, the inimitable style of the author is recognizable here too, not only because of his refusal to write in the compact style used nowadays in many textbooks. The first part (Integration), a wise combination of mathematics said to be modern and classical, is universally useful whereas the second part leads the reader towards a very active and specialized field of research, with possibly broad generalizations
Intégration et théorie spectrale, analyse harmonique, le jardin des délices modulaires by Roger Godement( Book )

2 editions published in 2003 in French and held by 23 WorldCat member libraries worldwide

Introduction à la théorie des groupes de Lie by Roger Godement( Book )

9 editions published between 1982 and 1995 in 3 languages and held by 23 WorldCat member libraries worldwide

Fonctions analytiques, différentielles et variétés, surfaces de Riemann by Roger Godement( Book )

2 editions published in 2002 in French and held by 21 WorldCat member libraries worldwide

Analysis IV Integration and Spectral Theory, Harmonic Analysis, the Garden of Modular Delights by Roger Godement( Book )

4 editions published in 2015 in English and held by 1 WorldCat member library worldwide

Analysis Volume IV introduces the reader to functional analysis (integration, Hilbert spaces, harmonic analysis in group theory) and to the methods of the theory of modular functions (theta and L series, elliptic functions, use of the Lie algebra of SL2). As in volumes I to III, the inimitable style of the author is recognizable here too, not only because of his refusal to write in the compact style used nowadays in many textbooks. The first part (Integration), a wise combination of mathematics said to be modern and classical, is universally useful whereas the second part leads the reader towards a very active and specialized field of research, with possibly broad generalizations
Introduction to the theory of Lie groups by Roger Godement( Book )

2 editions published in 2017 in English and held by 1 WorldCat member library worldwide

 
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Zeta functions of simple algebras
Alternative Names
Godeman, R.

Godeman, R. 1921-

Godement, R. 1921-

Roger Godement francia matematikus

Roger Godement Frans wiskundige

Roger Godement fransk matematikar

Roger Godement fransk matematiker

Roger Godement französischer Mathematiker

Roger Godement French mathematician

Roger Godement matemático francés

Roger Godement matematico francese

Roger Godement mathématicien français

Годеман, Р..

로제 고드망

ロジャー・ゴデメン

Languages
Covers
Analysis I : convergence, elementary functionsZeta functions of simple algebrasIntroduction a la theorie des groupes de LieAnalyse mathématiqueIntégration et théorie spectrale, analyse harmonique, le jardin des délices modulairesFonctions analytiques, différentielles et variétés, surfaces de Riemann