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Analysis II: Differential and Integral Calculus, Fourier Series, Holomorphic Functions by Roger Godement

Analysis II: Differential and Integral Calculus, Fourier Series, Holomorphic Functions

by Roger Godement
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Book cover type: Paperback
  • ISBN13: 9783540209218
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Springer
  • Publisher Imprint: Springer
  • Publication Date:
  • Pages: 448
  • Original Price: EUR 69.99
  • Language: English
  • Edition: 2005
  • Item Weight: 689 grams
  • BISAC Subject(s): Geometry / Analytic, Study & Teaching, and Mathematical Analysis

The main topic of these two English-language volumes are Functions in R and C, including the theory of Fourier series, Fourier integrals and part of holomorphic functions. Based on a course given by the author, 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. The French edition in four volumes, published from 1998, has met with resounding success.

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 École normale supérieure 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.

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