By Roger Godement,P. Spain

Functions in R and C, together with the speculation of Fourier sequence, Fourier integrals and a part of that of holomorphic services, shape the focal subject of those volumes. in keeping with a direction given by means of the writer to massive audiences at Paris VII collage for a few years, the exposition proceeds just a little nonlinearly, mixing rigorous arithmetic skilfully with didactical and ancient issues. It units out to demonstrate the diversity of attainable methods to the most effects, with the intention to begin the reader to equipment, the underlying reasoning, and primary principles. it's appropriate for either instructing and self-study. In his regularly occurring, own variety, the writer emphasizes principles over calculations and, averting the condensed sort usually present in textbooks, explains those rules with out parsimony of phrases. The French variation in 4 volumes, released from 1998, has met with resounding luck: the 1st volumes at the moment are to be had in English.

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Analysis II: Differential and Integral Calculus, Fourier Series, Holomorphic Functions (Universitext) by Roger Godement,P. Spain

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