Description

Book Synopsis
This textbook presents an elementary introduction to number theory and its different aspects: approximation of real numbers, irrationality and transcendence problems, continued fractions, diophantine equations, quadratic forms, arithmetical functions and algebraic number theory.These topics are covered in 12 chapters and more than 200 solved exercises.Clear, concise, and self-contained, this textbook may be used by undergraduate and graduate students, as well as highschool mathematics teachers. More generally, it will be suitable for all those who are interested in number theory, this fascinating branch of mathematics.

Table of Contents
Irrationality and Diophantine Approximation; Representations of Real Numbers by Infinite Series and Products; Continued Fractions; Regular Continued Fractions; Quadratic Fields and Diophantine Equations; Squares and Sums of Squares; Arithmetical Functions; Pade Approximants; Algebraic Numbers and Irrationality Measures; Number Fields; Ideals; Introduction to Transcendence Methods;

Number Theory: An Elementary Introduction Through

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    A Paperback / softback by Daniel Duverney

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      Publisher: World Scientific Publishing Co Pte Ltd
      Publication Date: Publication Date: 13/09/2010
      ISBN13: 9789814307468, 978-9814307468
      ISBN10: 9814307467

      Description

      Book Synopsis
      This textbook presents an elementary introduction to number theory and its different aspects: approximation of real numbers, irrationality and transcendence problems, continued fractions, diophantine equations, quadratic forms, arithmetical functions and algebraic number theory.These topics are covered in 12 chapters and more than 200 solved exercises.Clear, concise, and self-contained, this textbook may be used by undergraduate and graduate students, as well as highschool mathematics teachers. More generally, it will be suitable for all those who are interested in number theory, this fascinating branch of mathematics.

      Table of Contents
      Irrationality and Diophantine Approximation; Representations of Real Numbers by Infinite Series and Products; Continued Fractions; Regular Continued Fractions; Quadratic Fields and Diophantine Equations; Squares and Sums of Squares; Arithmetical Functions; Pade Approximants; Algebraic Numbers and Irrationality Measures; Number Fields; Ideals; Introduction to Transcendence Methods;

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