Henri Cohen: Number Theory | Taschenbuch

Cover: 9781441923905 | Number Theory | Volume I: Tools and Diophantine Equations | Cohen

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Beschreibung

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.

Zusammenfassung

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. 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. The book contains more than 350 exercises and the text is largely self-contained.

Inhaltsverzeichnis

to Diophantine Equations.- to Diophantine Equations.- Tools.- Abelian Groups, Lattices, and Finite Fields.- Basic Algebraic Number Theory.- p-adic Fields.- Quadratic Forms and Local-Global Principles.- Diophantine Equations.- Some Diophantine Equations.- Elliptic Curves.- Diophantine Aspects of Elliptic Curves.

Details

Erscheinungsjahr:	2010
Fachbereich:	Arithmetik & Algebra
Genre:	Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Reihe:	Graduate Texts in Mathematics
Inhalt:	xxiii 650 S.
ISBN-13:	9781441923905
ISBN-10:	144192390X
Sprache:	Englisch
Ausstattung / Beilage:	Paperback
Einband:	Kartoniert / Broschiert
Autor:	Cohen, Henri
Auflage:	Softcover reprint of hardcover 1st ed. 2007
Hersteller:	Springer New York Springer US, New York, N.Y. Graduate Texts in Mathematics
Maße:	235 x 155 x 37 mm
Von/Mit:	Henri Cohen
Erscheinungsdatum:	25.11.2010
Gewicht:	1,013 kg

Artikel-ID: 107207567

Zusammenfassung

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. 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. The book contains more than 350 exercises and the text is largely self-contained.

Inhaltsverzeichnis

Details

Erscheinungsjahr:	2010
Fachbereich:	Arithmetik & Algebra
Genre:	Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Reihe:	Graduate Texts in Mathematics
Inhalt:	xxiii 650 S.
ISBN-13:	9781441923905
ISBN-10:	144192390X
Sprache:	Englisch
Ausstattung / Beilage:	Paperback
Einband:	Kartoniert / Broschiert
Autor:	Cohen, Henri
Auflage:	Softcover reprint of hardcover 1st ed. 2007
Hersteller:	Springer New York Springer US, New York, N.Y. Graduate Texts in Mathematics
Maße:	235 x 155 x 37 mm
Von/Mit:	Henri Cohen
Erscheinungsdatum:	25.11.2010
Gewicht:	1,013 kg