bokomslag Analysis III
Vetenskap & teknik

Analysis III

Roger Godement

Pocket

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  • 321 sidor
  • 2015
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).
  • Författare: Roger Godement
  • Illustratör: Bibliographie
  • Format: Pocket/Paperback
  • ISBN: 9783319160528
  • Språk: Franska
  • Antal sidor: 321
  • Utgivningsdatum: 2015-04-16
  • Översättare: Urmie Ray
  • Förlag: Springer International Publishing AG