Analysis II
Differential and Integral Calculus, Fourier Series, Holomorphic Functions
Buch in deiner Nähe kaufen
Beschreibung
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.
Prefers ideas to calculations Explains the ideas without parsimony of words Based on 35 years of teaching at Paris University Blends mathematics skilfully with didactical and historical considerations Includes supplementary material: sn.pub/extras
Autor*in
Roger Godement
Themen in »Analysis II«
Convergence Integral calculus calculus derivations integrals
Stimmen zu »Analysis II«
From the reviews of the original French edition:
"... The content is quite classical ... [...] The treatment is less classical: precise although unpedantic (rather far from the definition-theorem-corollary-style), it contains many interesting commentaries of epistemological, pedagogical, historical and even political nature. [...] The author gives frequent interesting hints on recent developments of mathematics connected to the concepts which are introduced. The Introduction also contains comments that are very unusual in a book on mathematical analysis, going from pedagogy to critique of the French scientific-military-industrial complex, but the sequence of ideas is introduced in such a way that readers are less surprised than they might be.
J. Mawhin in Zentralblatt Mathematik (1999)
()