| ISBN： | 9783031302640 |
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| 编目源： | YDX YDX UKMGB OCLCF BDX OCLCO CTW UND |
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| 个人名称： | Takebe, Takashi, |
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| 题名： | Elliptic integrals and elliptic functions / Edited by Takashi Takebe. |
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| 出版发行项： | Cham, Switzerland : Springer, [2023] |
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| 载体形态： | xi, 328 pages ; illustrations : 24 cm. |
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| 书目附注： | Includes bibliographical references and index. |
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| 格式化内容附注： | Introduction -- The arc length of curves -- Classification of elliptic integrals -- Applications of elliptic integrals -- Jacobi's elliptic functions on R -- Applications of Jacobi's elliptic functions -- Riemann surfaces of algebraic functions -- Elliptic curves -- Complex elliptic integrals -- Mapping the upper half plane to a rectangle -- The Abel-Jacobi theorem -- The general theory of elliptic functions -- The Weierstrass p-function -- Addition theorems -- Characteristics by addition formulae -- Theta functions -- Infinite product factorisation of theta functions -- Complex Jacobian elliptic functions -- Theorems in analysis and complex analysis. |
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