Analyse mathematique III by Roger Godement

Analyse mathematique III by Roger Godement

Ce vol. III expose la th orie classique de Cauchy dans un esprit orient bien davantage vers ses innombrables utilisations que vers une th orie plus ou moins compl te des fonctions analytiques. On montre ensuite comment les int grales curvilignes la Cauchy se g n ralisent un nombre quelconque de variables r elles (formes diff rentielles, formules de type Stokes). Les bases de la th orie des vari t s sont ensuite expos es, principalement pour fournir au lecteur le langage canonique et quelques th or mes importants (changement de variables dans les int grales, quations diff rentielles). Un dernier chapitre montre comment on peut utiliser ces th ories pour construire la surface de Riemann compacte d'une fonction alg brique, sujet rarement trait dans la litt rature non sp cialis e bien que n' xigeant que des techniques l mentaires. Un volume IV exposera, outre, l'int grale de Lebesgue, un bloc de math matiques sp cialis es vers lequel convergera tout le contenu des volumes pr c dents: s ries et produits infinis de Jacobi, Riemann, Dedekind, fonctions elliptiques, th orie classique des fonctions modulaires et la version moderne utilisant la structure de groupe de Lie de SL(2, R).

From the reviews:

"This is the third volume of the author’s extensive treatise on analysis… The book is well written and mathematically complete, with many explanations of the basic mathematical ideas in non-technical language combined with the precise mathematical formulations. The book should be quite readable for the reader (with a basic knowledge of French) who wants to learn part or all of the material on his/her own." (P. Lappan, Mathematical Reviews, Issue 2006 i)

Roger Godement (October 1, 1921 - July 21, 2016) is known for his work in functional analysis and also his expository books. He started as a student at the ü¾Ž–Œ¼cole normale supü¾Ž–”¼rieure in 1940, where he became a student of Henri Cartan. He started research into harmonic analysis on locally compact abelian groups, finding a number of major results; this work was in parallel but independent of similar investigations in the USSR and Japan. Work on the abstract theory of spherical functions published in 1952 proved very influential in subsequent work, particularly that of Harish-Chandra. The isolation of the concept of square-integrable representation is attributed to him. The Godement compactness criterion in the theory of arithmetic groups was a conjecture of his. He later worked with Jacquet on the zeta function of a simple algebra. He was an active member of the Bourbaki group in the early 1950s, and subsequently gave a number of significant Bourbaki seminars. He also took part in the Cartan seminar. He also wrote texts on Lie groups, abstract algebra and mathematical analysis.

SKU	Unavailable
ISBN 13	9783540661429
ISBN 10	3540661425
Title	Analyse mathematique III
Author	Roger Godement
Condition	Unavailable
Binding Type	Paperback
Publisher	Springer
Year published	2001-11-20
Number of pages	338
Cover note	Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
Note	Unavailable