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An Introduction to Diophantine Equations
An Introduction to Diophantine Equations

Topics:

  • Number Theory
  • Theories
  • Diophantine Equations
  • Problem Solving

Language:

English

File Size:

1.72 MB

Published in:

2011

Authors:

  • Titu Andreescu
  • Dorin Andrica
  • Ion Cucurezeanu

Contents:

  • 1. Elementary Methods for Solving Diophantine Equation
  • 1.1. Factoring Methods
  • 1.2. Solving using Inequalities
  • 1.3. Parametric Method
  • 1.4. Modular Arithmetic Method
  • 1.5. Inductive method
  • 1.6. Fermet's method of Infinite Descent
  • 1.7. Miscellaneous Diophantine Equations
  • 2. Some Classical Diophantine Equations
  • 2.1. Linear diophantine Equations
  • 2.2. Pythagorean triple related problems
  • 2.3. Other remarkable Equations
  • 3. Pell type Equations
  • 4. Some advanced methods for solving diophantine Equations
  • Solution to exercise problems