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Cohen

Number Theory

Volume I: Tools and Diophantine Equations

Medium: Buch
ISBN: 978-1-4419-2390-5
Verlag: Springer
Erscheinungstermin: 25.11.2010
Lieferfrist: bis zu 10 Tage

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.


Produkteigenschaften


  • Artikelnummer: 9781441923905
  • Medium: Buch
  • ISBN: 978-1-4419-2390-5
  • Verlag: Springer
  • Erscheinungstermin: 25.11.2010
  • Sprache(n): Englisch
  • Auflage: 1. Auflage. Softcover version of original hardcover Auflage 2007
  • Serie: Graduate Texts in Mathematics
  • Produktform: Kartoniert, Paperback
  • Gewicht: 1013 g
  • Seiten: 650
  • Format (B x H x T): 155 x 235 x 37 mm
  • Ausgabetyp: Kein, Unbekannt
Autoren/Hrsg.

Autoren

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.