內容簡介

This textbook aims at introducing the reader to number theory

目錄

Contents

Structure of the book

Chapter 1.Irrationality and diophantine approximation

Chapter 2.Representations of real numbers by infinite series and products

Chapter 3.Continued fractions

Chapter 4.Regular continued fractions

Chapter 5.Quadratic fields and diophantine equations

Chapter 6.Squares and sums of squares

Chapter 7.Arithmetical functions

Chapter 8.Pade approximants

Chapter 9.Algebraic numbers and irrationality measures

Chapter 10.Number fields

Chapter 11.Ideals

Chapter 12.Introduction to transcendence methods

Solutions to the exercises

Chapter 1

Chapter 2

Chapter 3

Chapter 4

Chapter 5

Chapter 6

Chapter 7

Chapter 8

Chapter 9

Chapter 10

Chapter 11

Chapter 12

Bibliography

Index