000 02248cam a2200373Ii 4500
003 OCoLC
005 20240621114928.0
008 201113s2020 si a ob 001 0 eng d
020 _a9789811590979
020 _a9811590974
020 _z9789811590962
041 _aEnglish
049 _aMAIN
072 7 _aPBK
_2bicssc
072 7 _aMAT034000
_2bisacsh
072 7 _aPBK
_2thema
082 0 4 _a515
_223
_bSHO
100 1 _aShorey, T. N.,
100 1 _eauthor.
245 1 0 _aComplex analysis with applications to number theory /
_cTarlok Nath Shorey.
260 _aBengalure :
_bSpringer Nature,
_c2020.
300 _a1 online resource (xvi, 287 pages) :
_billustrations.
490 1 _aInfosys Science Foundation series in mathematical sciences,
_x2364-4036.
504 _aIncludes bibliographical references and index.
505 0 _aIntroduction 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 _aThe 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 _aMathematical analysis.
650 0 _aNumber theory.
830 0 _aInfosys Science Foundation series.
_pMathematical sciences.
856 4 0 _uhttps://ezproxy.lib.gla.ac.uk/login?url=http://link.springer.com/10.1007/978-981-15-9097-9
856 4 0 _zConnect to e-book
907 _a.b36478337
942 _2ddc
_cBOOKS
999 _c43113
_d43113