{"product_id":"analysis-iii-analytic-and-differential-functions-manifolds-and-riemann-surfaces-von-roger-godement","title":"Analysis III","description":"\n                                \n                \u003cp\u003eVolume 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.\u003c\/p\u003e\n                                \n                \u003cp\u003eBesides 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).\u003c\/p\u003e\n                            \n            \u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783319160528\"\u003e\u003ch3\u003eAnalytic and Differential Functions, Manifolds and Riemann Surfaces\u003c\/h3\u003e\u003c\/div\u003e","brand":"Libri","offers":[{"title":"Softcover - 9783319160528","offer_id":39419599945821,"sku":"9783319160528","price":69.54,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/efaa3851-dd03-4c9f-ba96-919b12583973.jpg?v=1772083889","url":"https:\/\/shop.autorenwelt.de\/en\/products\/analysis-iii-analytic-and-differential-functions-manifolds-and-riemann-surfaces-von-roger-godement","provider":"Autorenwelt Shop","version":"1.0","type":"link"}