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Viser: Complex Analysis with Applications to Number Theory
Complex Analysis with Applications to Number Theory
Tarlok Nath Shorey
(2020)
Sprog: Engelsk
Springer
374,00 kr.
Print on demand. Leveringstid vil være ca 2-3 uger.
Detaljer om varen
- Hardback
- Udgiver: Springer (November 2020)
- ISBN: 9789811590962
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.
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.
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