Complex Analysis with Applications to Number Theory
Başlık:
Complex Analysis with Applications to Number Theory
ISBN:
9789811590979
Personal Author:
Edition:
1st ed. 2020.
Yayın Bilgileri:
Singapore : Springer Nature Singapore : Imprint: Springer, 2020.
Fiziksel Tanımlama:
XVI, 287 p. 14 illus. online resource.
Series:
Infosys Science Foundation Series in Mathematical Sciences,
Contents:
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.
Abstract:
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.
Ek Kurum Yazarı:
Dil:
English