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Complex analysis with applications t...

Shorey, Tarlok Nath.

Complex analysis with applications to number theory

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Complex analysis with applications to number theoryby Tarlok Nath Shorey.
作者:	Shorey, Tarlok Nath.
出版者:	Singapore :Springer Singapore :2020.
面頁冊數:	xvi, 287 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
標題:	Mathematical analysis.
電子資源:	https://doi.org/10.1007/978-981-15-9097-9
ISBN:	9789811590979$q(electronic bk.)

Complex analysis with applications to number theory
Shorey, Tarlok Nath.

Complex analysis with applications to number theory[electronic resource] /by Tarlok Nath Shorey. - Singapore :Springer Singapore :2020. - xvi, 287 p. :ill., digital ;24 cm. - Infosys science foundation series in mathematical sciences,2364-4036. - Infosys science foundation series.Mathematical sciences..

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.

ISBN: 9789811590979$q(electronic bk.)

Standard No.: 10.1007/978-981-15-9097-9doiSubjects--Topical Terms:

186133
Mathematical analysis.

LC Class. No.: QA300 / .S567 2020

Dewey Class. No.: 515

Complex analysis with applications to number theory
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520 $a 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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650 0 $a Number theory. $3 189521
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