Adventures in mathematics /

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Though elementary in nature, this book deals with fundamental issues in mathematics -- number, algebra, geometry (both Euclidean and non-Euclidean) and topology. These subjects, on an advanced level, are the same ones with which much of current mathematical research is concerned and were themselves...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Moskowitz, Martin A.
Formato: Electrónico eBook
Idioma:Inglés
Publicado: River Edge, N.J. : World Scientific, ©2003.
Temas:
Mathematics.
Number theory.
Mathematics
Mathématiques.
Théorie des nombres.
MATHEMATICS > Number Theory.
Wiskunde.
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Cover
  • Contents
  • Preface
  • Notation
  • 1 What is a Number?
  • 1.1 The Positive Integers
  • 1.2 The Integers
  • 1.3 The Rational Numbers
  • 1.4 The Real Numbers
  • 1.5 The Integers Revisited
  • 1.6 The Complex Numbers
  • 1.7 Polynomials and Other Analogues of the Integers
  • 1.8 The Algebra on a Dial
  • 2 Groups Finite Fields and Linear Algebra
  • 2.1 Introduction to Groups and Their Actions
  • 2.2 Applications to Finite Fields and the Theory of Numbers
  • 2.3 Linear Algebra
  • 3 Two and Three Dimensional Geometry and Topology
  • 3.1 The Euclidean Case
  • 3.2 Elliptic and Hyperbolic Geometry
  • 3.3 Some Two- and Three-Dimensional Topology
  • Index.

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