Number Theory: Vol.1 Number Theory
(Sprache: Englisch)
The central theme of this book is the solution of Diophantine equations, i.e., equations or systems of polynomial equations which must be solved in integers, rational numbers or more generally in algebraic numbers.
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The central theme of this book is the solution of Diophantine equations, i.e., equations or systems of polynomial equations which must be solved in integers, rational numbers or more generally in algebraic numbers.
Klappentext zu „Number Theory: Vol.1 Number Theory “
The central theme of this book is the solution of Diophantine equations, i.e., equations or systems of polynomial equations which must be solved in integers, rational numbers or more generally in algebraic numbers. This theme, in particular, is the central motivation for the modern theory of arithmetic algebraic geometry. In this text, this is considered through three of its most basic aspects. The book contains more than 350 exercises and the text is largely self-contained. Much more sophisticated techniques have been brought to bear on the subject of Diophantine equations, and for this reason, the author has included five appendices on these techniques.
Inhaltsverzeichnis zu „Number Theory: Vol.1 Number Theory “
- Preface- Introduction to Diophantine Equations
- Abelian Groups, Lattices, and Finite Fields.-Basic Algebraic Number Theory
- p-adic Fields.-Quadratic Forms and Local-Global Principles
- Some Diophantine Equations
- Eilliptic Curves
- Diophantine Aspects of Elliptic Curves
- Bibliography
- Index
Bibliographische Angaben
- Autor: Henri Cohen
- 2007, 650 Seiten, Maße: 16,5 x 23,8 cm, Gebunden, Englisch
- Verlag: Springer, New York
- ISBN-10: 0387499229
- ISBN-13: 9780387499222
Sprache:
Englisch
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