00000cmm a22000004a 4500 UP-99796217611212202 Buklod 20230215085534.0 m go j cr |nu|||auu|a 140424s xx d u 9783642205545(eBook) 3642205542(eBook) (iLib)UPD-00214608387 DLC DML eng DMLUC QA 331 F74 2011 Freitag, E. (Eberhard). author Complex analysis 2 riemann surfaces, several complex variables, abelian functions, higher modular functions [electronic resource] by Eberhard Freitag. Berkeley, Calif. Apress 2011. 1 online resource (xiii, 506 p.)) Universitext Chapter I. Riemann Surfaces -- Chapter II. Harmonic Functions on Riemann Surfaces -- Chapter III. Uniformization -- Chapter IV. Compact Riemann Surfaces -- Appendices to Chapter IV -- Chapter V. Analytic Functions of Several Complex Variables -- Chapter V. Analytic Functions of Several Complex Variable -- Chapter VI. Abelian Functions -- Chapter VII. Modular Forms of Several Variables -- Chapter VIII. Appendix: Algebraic Tools -- References -- Index. IP-based subscription, access limited to within on campus computer network. Access via Electronic Resources of the UPD University Library Website. The book provides a complete presentation of complex analysis, starting with the theory of Riemann surfaces, including uniformization theory and a detailed treatment of the theory of compact Riemann surfaces, the Riemann-Roch theorem, Abel's theorem and Jacobi's inversion theorem. This motivates a short introduction into the theory of several complex variables, followed by the theory of Abelian functions up to the theta theorem. The last part of the book provides an introduction into the theory of higher modular functions. Electronic reproduction. New York SpringerLink 2011. Available via World Wide Web through SpringerLink. Electronic books. Functions of complex variables. Riemann surfaces. Topology. SpringerLink (Online service). Electronic Resource Available for University of the Philippines Diliman via SpringerLink. Click here to access http://www.springer.com/gp/book/9783642205538 FO Monograph UPD DMLR Electronic Resource