Elliptic curves: function theory, geometry, arithmetic
The subject of elliptic curves is one of the jewels of nineteenth-century mathematics, originated by Abel, Gauss, Jacobi, and Legendre. This book, reissued with a new Foreword, presents an introductory account of the subject in the style of the original discoverers, with references to and comments a...
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| Other Authors: | , |
| Format: | eBook |
| Language: | English |
| Published: |
Cambridge
Cambridge University Press
2025
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| Series: | Cambridge mathematical library
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| Links: | https://doi.org/10.1017/9781009602129 |
| Summary: | The subject of elliptic curves is one of the jewels of nineteenth-century mathematics, originated by Abel, Gauss, Jacobi, and Legendre. This book, reissued with a new Foreword, presents an introductory account of the subject in the style of the original discoverers, with references to and comments about more modern developments. It combines three of the fundamental themes of mathematics: complex function theory, geometry, and arithmetic. After an informal preparatory chapter, the book follows an historical path, beginning with the work of Abel and Gauss on elliptic integrals and elliptic functions. This is followed by chapters on theta functions, modular groups and modular functions, the quintic, the imaginary quadratic field, and on elliptic curves. Requiring only a first acquaintance with complex function theory, this book is an ideal introduction to the subject for graduate students and researchers in mathematics and physics, with many exercises with hints scattered throughout the text. |
| Physical Description: | 1 Online-Ressource (xxxi, 280 Seiten) |
| ISBN: | 9781009602129 |
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| spelling | McKean, Henry P. 1930- Elliptic curves function theory, geometry, arithmetic Henry McKean, Victor Moll ; with a foreword by Alex Kasman Cambridge Cambridge University Press 2025 1 Online-Ressource (xxxi, 280 Seiten) txt c cr Cambridge mathematical library The subject of elliptic curves is one of the jewels of nineteenth-century mathematics, originated by Abel, Gauss, Jacobi, and Legendre. This book, reissued with a new Foreword, presents an introductory account of the subject in the style of the original discoverers, with references to and comments about more modern developments. It combines three of the fundamental themes of mathematics: complex function theory, geometry, and arithmetic. After an informal preparatory chapter, the book follows an historical path, beginning with the work of Abel and Gauss on elliptic integrals and elliptic functions. This is followed by chapters on theta functions, modular groups and modular functions, the quintic, the imaginary quadratic field, and on elliptic curves. Requiring only a first acquaintance with complex function theory, this book is an ideal introduction to the subject for graduate students and researchers in mathematics and physics, with many exercises with hints scattered throughout the text. Kasman, Alex 1967- Moll, Victor H. 1956- Erscheint auch als Druck-Ausgabe 9781009602112 |
| spellingShingle | McKean, Henry P. 1930- Elliptic curves function theory, geometry, arithmetic |
| title | Elliptic curves function theory, geometry, arithmetic |
| title_auth | Elliptic curves function theory, geometry, arithmetic |
| title_exact_search | Elliptic curves function theory, geometry, arithmetic |
| title_full | Elliptic curves function theory, geometry, arithmetic Henry McKean, Victor Moll ; with a foreword by Alex Kasman |
| title_fullStr | Elliptic curves function theory, geometry, arithmetic Henry McKean, Victor Moll ; with a foreword by Alex Kasman |
| title_full_unstemmed | Elliptic curves function theory, geometry, arithmetic Henry McKean, Victor Moll ; with a foreword by Alex Kasman |
| title_short | Elliptic curves |
| title_sort | elliptic curves function theory geometry arithmetic |
| title_sub | function theory, geometry, arithmetic |
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