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
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 selfstudy, this text emphasizes ideas over calculations and, avoiding the condensed style frequency found in textbooks, explains these ideas without parsimony of words
70 editions published between 1998 and 2015 in 4 languages and held by 529 WorldCat member libraries worldwide
Suitable for both teaching and selfstudy, 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
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 selfstudy. 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
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 selfstudy. 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
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
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
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
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
17 editions published between 1959 and 1961 in 5 languages and held by 87 WorldCat member libraries worldwide
Notes on JacquetLanglands ̓theory by
Roger Godement(
Book
)
4 editions published in 1970 in English and held by 37 WorldCat member libraries worldwide
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. Cauchytype curvilinear integrals are then shown to generalize to any number of real variables (differential forms, Stokestype 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)
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. Cauchytype curvilinear integrals are then shown to generalize to any number of real variables (differential forms, Stokestype 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
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
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
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
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
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
2 editions published in 2017 in English and held by 1 WorldCat member library worldwide
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Associated Subjects
Algebra Algebra, Abstract Algebraic number theory Algebraic topology Calculus Calculus, Integral Convergence Differential calculus Fourier series Functional analysis Functions Functions, Zeta Functions of real variables Geometry, Differential Group theory Holomorphic functions Lie groups Mathematical analysis Mathematics Modular functions Representations of groups Topological groups Topology Variables (Mathematics)
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
French
(168)
English (136)
Spanish (13)
Russian (7)
German (3)
Italian (2)
Portuguese (1)
Multiple languages (1)
English (136)
Spanish (13)
Russian (7)
German (3)
Italian (2)
Portuguese (1)
Multiple languages (1)
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