Henri Cohen: Number Theory | Taschenbuch

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

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

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Sprache: Englisch

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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. 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.

Zusammenfassung

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:	Importe , Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Reihe:	Graduate Texts in Mathematics
Inhalt:	xxiii 650 S.
ISBN-13:	9781441923905
ISBN-10:	144192390X
Sprache:	Englisch
Einband:	Kartoniert / Broschiert
Autor:	Cohen, Henri
Hersteller:	Springer Copernicus Springer US, New York, N.Y. Graduate Texts in Mathematics
Verantwortliche Person für die EU:	Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße:	235 x 155 x 37 mm
Von/Mit:	Henri Cohen
Erscheinungsdatum:	25.11.2010
Gewicht:	1,013 kg