| Softcover ISBN: | 978-0-8218-0863-4 |
| Product Code: | MMONO/186 |
| List Price: | $37.00 |
| MAA Member Price: | $33.30 |
| AMS Member Price: | $29.60 |
| Electronic ISBN: | 978-1-4704-4600-0 |
| Product Code: | MMONO/186.E |
| List Price: | $34.00 |
| MAA Member Price: | $30.60 |
| AMS Member Price: | $27.20 |
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Book DetailsTranslations of Mathematical MonographsIwanami Series in Modern MathematicsVolume: 186; 2000; 154 ppMSC: Primary 11; 14;
This is the English translation of the original Japanese book. In this volume, “Fermat's Dream”, core theories in modern number theory are introduced. Developments are given in elliptic curves, \(p\)-adic numbers, the \(\zeta\)-function, and the number fields. This work presents an elegant perspective on the wonder of numbers. Number Theory 2 on class field theory, and Number Theory 3 on Iwasawa theory and the theory of modular forms, are forthcoming in the series.
ReadershipGraduate students and research mathematicians interested in number theory.
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Table of Contents
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Chapters
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Introduction
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Rational points on elliptic curves
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Conics and $p$-adic numbers
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$\zeta $
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Algebraic number theory
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Rudiments on Dedekind domains
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Additional Material
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Reviews
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This book can be recommended to any scholar or student having the required background; in particular, it would make excellent supplementary reading for students having taken a first course in number theory. The text would also constitute a good basis for lectures to an audience of nonspecialists.
Mathematical Reviews
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RequestsReview Copy – for reviewers who would like to review an AMS bookDesk Copy – for instructors who have adopted an AMS textbook for a courseExamination Copy – for faculty considering an AMS textbook for a coursePermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Additional Material
- Reviews
- Requests
This is the English translation of the original Japanese book. In this volume, “Fermat's Dream”, core theories in modern number theory are introduced. Developments are given in elliptic curves, \(p\)-adic numbers, the \(\zeta\)-function, and the number fields. This work presents an elegant perspective on the wonder of numbers. Number Theory 2 on class field theory, and Number Theory 3 on Iwasawa theory and the theory of modular forms, are forthcoming in the series.
Graduate students and research mathematicians interested in number theory.
-
Chapters
-
Introduction
-
Rational points on elliptic curves
-
Conics and $p$-adic numbers
-
$\zeta $
-
Algebraic number theory
-
Rudiments on Dedekind domains
-
This book can be recommended to any scholar or student having the required background; in particular, it would make excellent supplementary reading for students having taken a first course in number theory. The text would also constitute a good basis for lectures to an audience of nonspecialists.
Mathematical Reviews
