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Complex Analysis with Applications to Number Theory

2020-11-13 Mathematics
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Release : 2020-11-13
Genre : Mathematics
Kind : eBook
Book Rating : 974/5 ( reviews)

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Book Synopsis Complex Analysis with Applications to Number Theory by : Tarlok Nath Shorey

Download or read book Complex Analysis with Applications to Number Theory written by Tarlok Nath Shorey. This book was released on 2020-11-13. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Complex Analysis with Applications to Number Theory

2021-11-14 Mathematics
Download Complex Analysis with Applications to Number Theory PDF Online Free

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Release : 2021-11-14
Genre : Mathematics
Kind : eBook
Book Rating : 993/5 ( reviews)

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Book Synopsis Complex Analysis with Applications to Number Theory by : Tarlok Nath Shorey

Download or read book Complex Analysis with Applications to Number Theory written by Tarlok Nath Shorey. This book was released on 2021-11-14. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Complex Analysis with Applications to Number Theory

2020-12-26 Mathematics
Download Complex Analysis with Applications to Number Theory PDF Online Free

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Release : 2020-12-26
Genre : Mathematics
Kind : eBook
Book Rating : 962/5 ( reviews)

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Book Synopsis Complex Analysis with Applications to Number Theory by : Tarlok Nath Shorey

Download or read book Complex Analysis with Applications to Number Theory written by Tarlok Nath Shorey. This book was released on 2020-12-26. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Complex Analysis in Number Theory

1994-11-22 Mathematics
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Release : 1994-11-22
Genre : Mathematics
Kind : eBook
Book Rating : 664/5 ( reviews)

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Book Synopsis Complex Analysis in Number Theory by : Anatoly A. Karatsuba

Download or read book Complex Analysis in Number Theory written by Anatoly A. Karatsuba. This book was released on 1994-11-22. Available in PDF, EPUB and Kindle. Book excerpt: This book examines the application of complex analysis methods to the theory of prime numbers. In an easy to understand manner, a connection is established between arithmetic problems and those of zero distribution for special functions. Main achievements in this field of mathematics are described. Indicated is a connection between the famous Riemann zeta-function and the structure of the universe, information theory, and quantum mechanics. The theory of Riemann zeta-function and, specifically, distribution of its zeros are presented in a concise and comprehensive way. The full proofs of some modern theorems are given. Significant methods of the analysis are also demonstrated as applied to fundamental problems of number theory.

Applied Complex Variables

2012-05-07 Mathematics
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Release : 2012-05-07
Genre : Mathematics
Kind : eBook
Book Rating : 284/5 ( reviews)

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Book Synopsis Applied Complex Variables by : John W. Dettman

Download or read book Applied Complex Variables written by John W. Dettman. This book was released on 2012-05-07. Available in PDF, EPUB and Kindle. Book excerpt: Fundamentals of analytic function theory — plus lucid exposition of 5 important applications: potential theory, ordinary differential equations, Fourier transforms, Laplace transforms, and asymptotic expansions. Includes 66 figures.

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