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Synopsis
This well-developed, accessible text details the historical development of the subject throughout. It also provides wide-ranging coverage of significant results with comparatively elementary proofs, some of them new. This second edition contains two new chapters that provide a complete proof of the Mordel-Weil theorem for elliptic curves over the rational numbers and an overview of recent progress on the arithmetic of elliptic curves.
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Review
From the reviews of the second edition:
K. Ireland and M. Rosen
A Classical Introduction to Modern Number Theory
"Many mathematicians of this generation have reached the frontiers of research without having a good sense of the history of their subject. In number theory this historical ignorance is being alleviated by a number of fine recent books. This work stands among them as a unique and valuable contribution."
― MATHEMATICAL REVIEWS
"This is a great book, one that does exactly what it proposes to do, and does it well. For me, this is the go-to book whenever a student wants to do an advanced independent study project in number theory. ... for a student who wants to get started on the subject and has taken a basic course on elementary number theory and the standard abstract algebra course, this is perfect." (Fernando Q. Gouvêa, MathDL, January, 2006)
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- PublisherSpringer
- Publication date2010
- ISBN 10 1441930949
- ISBN 13 9781441930941
- BindingPaperback
- LanguageEnglish
- Number of pages408
- Rating
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A Classical Introduction to Modern Number Theory
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Springer New York Dez 2010, 2010
ISBN 10: 1441930949
ISBN 13: 9781441930941
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This well-developed, accessible text details the historical development of the subject throughout. It also provides wide-ranging coverage of significant results with comparatively elementary proofs, some of them new. This second edition contains two new chapters that provide a complete proof of the Mordel-Weil theorem for elliptic curves over the rational numbers and an overview of recent progress on the arithmetic of elliptic curves. 412 pp. Englisch. Seller Inventory # 9781441930941
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A Classical Introduction to Modern Number Theory
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ISBN 10: 1441930949
ISBN 13: 9781441930941
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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - Bridging the gap between elementary number theory and the systematic study of advanced topics, A Classical Introduction to Modern Number Theory is a well-developed and accessible text that requires only a familiarity with basic abstract algebra. Historical development is stressed throughout, along with wide-ranging coverage of significant results with comparatively elementary proofs, some of them new. An extensive bibliography and many challenging exercises are also included. This second edition has been corrected and contains two new chapters which provide a complete proof of the Mordell-Weil theorem for elliptic curves over the rational numbers, and an overview of recent progress on the arithmetic of elliptic curves. Seller Inventory # 9781441930941
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A Classical Introduction to Modern Number Theory (Graduate Texts in Mathematics (84))
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