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Titlebook: Introduction to Elliptic Curves and Modular Forms; Neal Koblitz Textbook 1993Latest edition Springer Science+Business Media New York 1993

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發(fā)表于 2025-3-21 17:16:01 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱Introduction to Elliptic Curves and Modular Forms
編輯Neal Koblitz
視頻videohttp://file.papertrans.cn/474/473660/473660.mp4
叢書名稱Graduate Texts in Mathematics
圖書封面Titlebook: Introduction to Elliptic Curves and Modular Forms;  Neal Koblitz Textbook 1993Latest edition Springer Science+Business Media New York 1993
描述This textbook covers the basic properties of elliptic curves and modular forms, with emphasis on certain connections with number theory. The ancient "congruent number problem" is the central motivating example for most of the book. My purpose is to make the subject accessible to those who find it hard to read more advanced or more algebraically oriented treatments. At the same time I want to introduce topics which are at the forefront of current research. Down-to-earth examples are given in the text and exercises, with the aim of making the material readable and interesting to mathematicians in fields far removed from the subject of the book. With numerous exercises (and answers) included, the textbook is also intended for graduate students who have completed the standard first-year courses in real and complex analysis and algebra. Such students would learn applications of techniques from those courses. thereby solidifying their under- standing of some basic tools used throughout mathematics. Graduate stu- dents wanting to work in number theory or algebraic geometry would get a motivational, example-oriented introduction. In addition, advanced under- graduates could use the book fo
出版日期Textbook 1993Latest edition
關(guān)鍵詞Curves; Grad; algebraic geometry; elliptic curve; number theory
版次2
doihttps://doi.org/10.1007/978-1-4612-0909-6
isbn_softcover978-1-4612-6942-7
isbn_ebook978-1-4612-0909-6Series ISSN 0072-5285 Series E-ISSN 2197-5612
issn_series 0072-5285
copyrightSpringer Science+Business Media New York 1993
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沙發(fā)
發(fā)表于 2025-3-21 20:29:57 | 只看該作者
板凳
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Modular Forms,Our treatment of the introductory material will be similar to that in Serre’s . (Chapter VII), except that we shall bring in the “l(fā)evel” from the very beginning.
地板
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Graduate Texts in Mathematicshttp://image.papertrans.cn/i/image/473660.jpg
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978-1-4612-6942-7Springer Science+Business Media New York 1993
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Introduction to Elliptic Curves and Modular Forms978-1-4612-0909-6Series ISSN 0072-5285 Series E-ISSN 2197-5612
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發(fā)表于 2025-3-23 00:12:57 | 只看該作者
From Congruent Numbers to Elliptic Curves,ic geometry, representation theory, number theory. While our point of view will be number theoretic, we shall find ourselves using the type of techniques that one learns in basic courses in complex variables, real variables, and algebra. A well-known feature of number theory is the abundance of conj
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Neal Koblitz energy sources (RES). Due to their variability, intermittent RES (such as wind or solar radiation) do not allow a power production distributed uniformly over the short term up to the mid- and long term. Storage of renewable electricity can significantly contribute to mitigate these issues, enhancin
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