Complex analysis with applications to number theory / Tarlok Nath Shorey.
Material type: TextLanguage: English Series: Infosys Science Foundation series. Mathematical sciences.Publication details: Bengalure : Springer Nature, 2020.Description: 1 online resource (xvi, 287 pages) : illustrationsISBN:- 9789811590979
- 9811590974
- 515 23 SHO
Item type | Current library | Collection | Call number | Status | Date due | Barcode |
---|---|---|---|---|---|---|
General Books | CUTN Central Library Sciences | Non-fiction | 515 SHO (Browse shelf(Opens below)) | Available | 46546 |
Includes bibliographical references and index.
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.
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