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Analysis III Analytic and Differential Functions, Manifolds and Riemann Surfaces

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76208bbfcb2e0fbdba204af1bd9afa45.jpg [b] Roger Godement , "Analysis III: Analytic and Differential Functions, Manifolds and Riemann Surfaces" [/b] English | ISBN: 3319160524 | 2015 | 332 pages | PDF | 3 MB 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).7409461d53baf8ee6fe405f510a7faff.png [b]Buy Premium From My Links To Get Resumable Support,Max Speed & Support Me[/b]
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