Tarlok Nath Shorey
Complex Analysis with Applications to Number Theory
Gebonden Engels 2020 9789811590962
Verwachte levertijd ongeveer 9 werkdagen
Samenvatting
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 and undergraduate students of engineering, as well as to researchers in complex analysis and number theory. This theory is a prerequisite for the study of many areas of mathematics, including the theory of several finitely and infinitely many complex variables, hyperbolic geometry, two and three manifolds and number theory. In additional to solved examples and problems, the book covers most of the topics of current interest, such as Cauchy theorems, Picard’s theorems, Riemann–Zeta function, Dirichlet theorem, gamma function and harmonic functions.
Specificaties
ISBN13:9789811590962
Taal:Engels
Bindwijze:gebonden
Uitgever:Springer Nature Singapore
Lezersrecensies
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Inhoudsopgave
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.<br><p></p>
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