Number Theory: An Elementary Introduction through Diophantine Problems (Monographs in Number Theory)

Duverney, Daniel

World Scientific Publishing Co Pte Ltd（2010/09発売）

• 製本 Paperback:紙装版/ペーパーバック版／ページ数 348 p.
• 言語 ENG
• 商品コード 9789814307468
• DDC分類 512.7

Full Description

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.

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;