Roger Godement and P. Spain, "Analysis I: Convergence, Elementary functions"
English | 2004 | ISBN: 3540059237 | 452 pages | PDF | 28,3 MB
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.