Number Theory Volume I: Tools and Diophantine Equations /

The central theme of this graduate-level number theory textbook 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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Cohen, Henri (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York, NY : Springer New York : Imprint: Springer, 2007.
Edición:1st ed. 2007.
Colección:Graduate Texts in Mathematics, 239
Temas:
Number theory.
Algorithms.
Algebraic fields.
Polynomials.
Mathematics > Data processing.
Algebra.
Number Theory.
Field Theory and Polynomials.
Computational Mathematics and Numerical Analysis.
Order, Lattices, Ordered Algebraic Structures.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 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.

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