Godement, Roger
Overview
Works:  52 works in 431 publications in 7 languages and 4,870 library holdings 

Genres:  Conference papers and proceedings Periodicals 
Roles:  Author 
Classifications:  QA155, 512 
Publication Timeline
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Most widely held works by
Roger Godement
Algebra by
Roger Godement(
Book
)
115 editions published between 1958 and 2014 in 6 languages and held by 1,169 WorldCat member libraries worldwide
115 editions published between 1958 and 2014 in 6 languages and held by 1,169 WorldCat member libraries worldwide
Topologie algébrique et théorie des faisceaux by
Roger Godement(
Book
)
58 editions published between 1938 and 2014 in 4 languages and held by 621 WorldCat member libraries worldwide
58 editions published between 1938 and 2014 in 4 languages and held by 621 WorldCat member libraries worldwide
Zeta functions of simple algebras by
Roger Godement(
Book
)
23 editions published between 1972 and 2008 in 3 languages and held by 441 WorldCat member libraries worldwide
23 editions published between 1972 and 2008 in 3 languages and held by 441 WorldCat member libraries worldwide
Introduction a la theorie des groupes de Lie by
Roger Godement(
Book
)
22 editions published between 1982 and 2004 in 4 languages and held by 202 WorldCat member libraries worldwide
22 editions published between 1982 and 2004 in 4 languages and held by 202 WorldCat member libraries worldwide
Analyse mathématique by
Roger Godement(
Book
)
9 editions published between 2001 and 2002 in French and English and held by 111 WorldCat member libraries worldwide
9 editions published between 2001 and 2002 in French and English and held by 111 WorldCat member libraries worldwide
Variétés différentiables: formes, courants, formes harmoniques by
Georges de Rham(
Book
)
16 editions published between 1959 and 1961 in 4 languages and held by 86 WorldCat member libraries worldwide
16 editions published between 1959 and 1961 in 4 languages and held by 86 WorldCat member libraries worldwide
Notes on JacquetLanglands ̓theory by
Roger Godement(
Book
)
4 editions published in 1970 in English and held by 36 WorldCat member libraries worldwide
4 editions published in 1970 in English and held by 36 WorldCat member libraries worldwide
Analysis by
Roger Godement(
Book
)
11 editions published in 2015 in English and held by 27 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 27 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)
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
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 by
Roger Godement(
Book
)
8 editions published in 2015 in English and held by 21 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
8 editions published in 2015 in English and held by 21 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
Introduction à la théorie des groupes de Lie by
Roger Godement(
Book
)
8 editions published between 1982 and 1995 in 3 languages and held by 16 WorldCat member libraries worldwide
8 editions published between 1982 and 1995 in 3 languages and held by 16 WorldCat member libraries worldwide
Analyse mathématique by
Roger Godement(
Book
)
in French and held by 15 WorldCat member libraries worldwide
in French and held by 15 WorldCat member libraries worldwide
Analyse mathématique by
Roger Godement(
Book
)
4 editions published in 2001 in French and English and held by 14 WorldCat member libraries worldwide
4 editions published in 2001 in French and English and held by 14 WorldCat member libraries worldwide
Cours de mathématiques générales : fascicule I by
Roger Godement(
Book
)
4 editions published between 1949 and 1957 in French and held by 13 WorldCat member libraries worldwide
4 editions published between 1949 and 1957 in French and held by 13 WorldCat member libraries worldwide
Introduction à la théorie des groupes de lie by
Roger Godement(
Book
)
6 editions published between 1982 and 1995 in 3 languages and held by 8 WorldCat member libraries worldwide
6 editions published between 1982 and 1995 in 3 languages and held by 8 WorldCat member libraries worldwide
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Associated Subjects
Algebra Algebra, Abstract Algebraic number theory Algebraic topology Bourbaki, Nicolas Differentiable manifolds Differential equations Differential equations, Partial Differential forms Differential invariants Ergodic theory Functional analysis Functions Functions, Zeta Geometry, Algebraic Geometry, Differential Group theory Homotopy theory Lie groups Mathematical analysis Mathematical physics Mathematics Modular functions Number theory Representations of groups Riemannian manifolds Sheaf theory Topological groups Topology
Alternative Names
Godeman, R.
Godeman, R. 1921
Godement, R. 1921
Roger Godement Frans wiskundige
Roger Godement fransk matematikar
Roger Godement fransk matematiker
Roger Godement französischer Mathematiker
Roger Godement French mathematician
Roger Godement matematico francese
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