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Titlebook: Elliptic Integrals and Elliptic Functions; Takashi Takebe Textbook 2023 The Editor(s) (if applicable) and The Author(s), under exclusive l

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發(fā)表于 2025-3-21 19:26:03 | 只看該作者 |倒序瀏覽 |閱讀模式
書目名稱Elliptic Integrals and Elliptic Functions
編輯Takashi Takebe
視頻videohttp://file.papertrans.cn/308/307796/307796.mp4
概述Many applications to physics and to mathematics are introduced.Clear motivation to each item (‘Why do we consider such objects?’) is given.The theory is developed in a natural way of thinking
叢書名稱Moscow Lectures
圖書封面Titlebook: Elliptic Integrals and Elliptic Functions;  Takashi Takebe Textbook 2023 The Editor(s) (if applicable) and The Author(s), under exclusive l
描述.This book gives a comprehensive introduction to those parts of the theory of elliptic integrals and elliptic functions which provide illuminating examples in complex analysis, but which are not often covered in regular university courses. These examples form prototypes of major ideas in modern mathematics and were a driving force of the subject in the eighteenth and nineteenth centuries. In addition to giving an account of the main topics of the theory, the book also describes many applications, both in mathematics and in physics. For the reader’s convenience, all necessary preliminaries on basic notions such as Riemann surfaces are explained to a level sufficient to read the book..For each notion a clear motivation is given for its study, answering the question ‘Why do we consider such objects?’, and the theory is developed in a natural way that mirrors its historical development (e.g., ‘If there is such and such an object, then you would surely expect this one’). This feature sets this text apart from other books on the same theme, which are usually presented in a different order. Throughout, the concepts are augmented and clarified by numerous illustrations.. .Suitable for unde
出版日期Textbook 2023
關(guān)鍵詞elliptic functions; elliptic integrals; complex analysis; application to physics; Riemann surfaces; ellip
版次1
doihttps://doi.org/10.1007/978-3-031-30265-7
isbn_softcover978-3-031-30267-1
isbn_ebook978-3-031-30265-7Series ISSN 2522-0314 Series E-ISSN 2522-0322
issn_series 2522-0314
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
The information of publication is updating

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Mathematische Algorithmen im Unterrichtf the first kind. Moreover, extending this b?ection, we constructed a b?ection between an elliptic curve and a larger rectangle with its edges pairwise identified. In fact, via an elliptic integral of the first kind any elliptic curve can be identified with a parallelogram whose edges are pairwise i
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Wachstums- und Zerfallsprozesse,ta functions are used in many branches of mathematics and physics, many prerequisites are required to understand those applications, which makes it difficult to explain them in this book. Here, instead, we prove infinite product factorisations of theta functions often used in applications.
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Wachstums- und Zerfallsprozesse,ta functions are used in many branches of mathematics and physics, many prerequisites are required to understand those applications, which makes it difficult to explain them in this book. Here, instead, we prove infinite product factorisations of theta functions often used in applications.
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發(fā)表于 2025-3-23 08:55:32 | 只看該作者
The Abel–Jacobi Theoremf the first kind. Moreover, extending this b?ection, we constructed a b?ection between an elliptic curve and a larger rectangle with its edges pairwise identified. In fact, via an elliptic integral of the first kind any elliptic curve can be identified with a parallelogram whose edges are pairwise identified. This is the theme of this chapter.
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