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Analysis III
- Analytic and Differential Functions, Manifolds and Riemann Surfaces
Engelsk
Bogcover for Analysis III af Roger Godement, 9783319160528
Specifikationer
Sprog:
Engelsk
Sider:
321
ISBN-13:
9783319160528
Indbinding:
Paperback
ISBN-10:
3319160524
Udg. Dato:
16 apr 2015
Størrelse i cm:
23,5 x 15,5 x 1,9
Serie:
Oplagsdato:
16 apr 2015
Forfatter(e):

Analysis III

- Analytic and Differential Functions, Manifolds and Riemann Surfaces
Engelsk
Paperback 2015
Format:

Bog beskrivelse

Volume III sets out classical Cauchy theory. It is much more geared towards its innumerable applications than towards a more or less complete theory of analytic functions. Cauchy-type curvilinear integrals are then shown to generalize to any number of real variables (differential forms, Stokes-type formulas). The fundamentals of the theory of manifolds are then presented, mainly to provide the reader with a "canonical'''' language and with some important theorems (change of variables in integration, differential equations). A final chapter shows how these theorems can be used to construct the compact Riemann surface of an algebraic function, a subject that is rarely addressed in the general literature though it only requires elementary techniques.

Besides the Lebesgue integral, Volume IV will set out a piece of specialized mathematics towards which the entire content of the previous volumes will converge: Jacobi, Riemann, Dedekind series and infinite products, elliptic functions, classical theory of modular functions and its modern version using the structure of the Lie algebra of SL(2,R).

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Specifikationer
Sprog:
Engelsk
Sider:
321
ISBN-13:
9783319160528
Indbinding:
Paperback
ISBN-10:
3319160524
Udg. Dato:
16 apr 2015
Størrelse i cm:
23,5 x 15,5 x 1,9
Serie:
Oplagsdato:
16 apr 2015
Forfatter(e):
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