This textbook aims at introducing the reader to number theory
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
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This textbook aims at introducing the reader to number theory
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