000 | 02248cam a2200373Ii 4500 | ||
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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 |
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072 | 7 |
_aMAT034000 _2bisacsh |
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072 | 7 |
_aPBK _2thema |
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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. |
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300 |
_a1 online resource (xvi, 287 pages) : _billustrations. |
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490 | 1 |
_aInfosys Science Foundation series in mathematical sciences, _x2364-4036. |
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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. |
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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 |
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999 |
_c43113 _d43113 |