Analyse mathématique, II, calcul différentiel et intégral, séries de Fourier, fonctions holomorphes / Roger Godement

Index

This second volume of Godement's Analyse mathématique is devoted to integral calculus (Riemann integral with glimpses on Lebesgue integral, Radon measure and Schwartz distributions), asymptotic expansions, harmonic analysis and holomorphic functions. The style is similar to that of volume I, and the book concludes with a polemic postface of almost one hundred pages on Science, technology and weapons, a mixture of generous ideas and local French politics, built around the famous discussion of Fourier and Jacobi about applied and pure mathematics. In contrast to the always appreciated scientific quotations, some of them occurring in this postface and throughout the book may be less appreciated. The reading of this book is recommended to mathematicians both for the inspiring style and taste of the presentation of the topics and for the unusual character of the comments: we learn, among deeper things, that Marshall Stone not only gave a new proof of Weierstrass, but had a definite taste for French gastronomy, and that Marcel Riesz was not only Frederic's brother, but had a strong taste for aquavit. (Zentralblatt)