Complex Analysis with Applications to Number Theory. 1st ed. 2020

種類:

電子ブック

責任表示:

by Tarlok Nath Shorey

出版情報:

Singapore : Springer Nature Singapore : Imprint: Springer, 2020

著者名:

• Shorey, Tarlok Nath.
• SpringerLink (Online service)

シリーズ名:

Infosys Science Foundation Series in Mathematical Sciences ;

ISBN:

9789811590979 [9811590974]    

注記:

Introduction And Preliminaries -- Cauchy Theorems and Their Applications -- Conformal Mappings and Riemann Mapping Theorem -- Picard's Theorems -- Factorisation of Analytic Functions in C and in a Region -- Gamma Function -- Riemann Zeta Function -- Dirichlet Series and Dirichlet Theorem -- Harmonic Functions -- Elliptic Functions and Modular Forms.
The book discusses major topics in complex analysis with applications to number theory. This book is intended as a text for graduate students of mathematics, undergraduate students of engineering and researchers in fields of complex analysis and number theory. This theory is a prerequisite for the study of various areas of mathematics, including the theory of several finitely and infinitely complex variables, hyperbolic geometry, two- and three-manifolds, and number theory. In addition to solved examples and problems, the book covers most topics of current interest, such as Cauchy theorems, Picard’s theorems, Riemann–Zeta function, Dirichlet theorem, Gamma function, and harmonic functions.

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