000 01588nam a22002057a 4500
003 OSt
005 20241105165038.0
008 191210b ||||| |||| 00| 0 eng d
020 _a9783540209218
040 _cTata Book House
_aICTS-TIFR
050 _aQA 300
100 _aRoger Godement
245 _aAnalysis II
_b : differential and integral calculus, fourier series, holomorphic functions
260 _aNew York:
_bSpringer,
_c[c2005]
300 _a443 p
505 _aV. Differential and Integral Calculus VI. Asymptotic Analysis VII. Harmonic Analysis and Holomorphic Functions
520 _aFunctions 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. --- summary provided by publisher
650 _aMathematics
942 _2lcc
_cBK
999 _c2906
_d2906