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Complex analysis with applications t...

Shorey, Tarlok Nath.

Complex analysis with applications to number theory

Record Type:	Electronic resources : Monograph/item
Title/Author:	Complex analysis with applications to number theoryby Tarlok Nath Shorey.
Author:	Shorey, Tarlok Nath.
Published:	Singapore :Springer Singapore :2020.
Description:	xvi, 287 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Mathematical analysis.
Online resource:	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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245 1 0 $a Complex analysis with applications to number theory $h [electronic resource] / $c by Tarlok Nath Shorey.
260 $a Singapore : $b Springer Singapore : $b Imprint: Springer, $c 2020.
300 $a xvi, 287 p. : $b ill., digital ; $c 24 cm.
490 1 $a Infosys science foundation series in mathematical sciences, $x 2364-4036
505 0 $a 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.
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.
650 0 $a Mathematical analysis. $3 186133
650 0 $a Number theory. $3 189521
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650 2 4 $a Number Theory. $3 274059
710 2 $a SpringerLink (Online service) $3 273601
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830 0 $a Infosys science foundation series. $p Mathematical sciences. $3 881610
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950 $a Mathematics and Statistics (SpringerNature-11649)