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    NUMBER THEORY
    An Elementary Introduction Through Diophantine Problems

    by Daniel Duverney (Baggio Engineering School, France)

    Table of Contents (42k)
    Preface (41k)
    Chapter 1: Irrationality and diophantine approximation (122k)

    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
    • Padé Approximants
    • Algebraic Numbers and Irrationality Measures
    • Number Fields
    • Ideals
    • Introduction to Transcendence Methods
     
    Readership: Undergraduate and graduate students in mathematics, and high school mathematics teachers.

    Originally published in French as Théorie des nombres @ Dunod, 2007, 2nd edition, Paris

     
     
    348pp    Pub. date: Sep 2010  
    ISBN:   978-981-4307-45-1
    981-4307-45-9
       US$78 / £51

     


    348pp    Pub. date: Sep 2010  
    ISBN:   978-981-4307-46-8(pbk)
    981-4307-46-7(pbk)
       US$34 / £22

     


     

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    Updated on 10 February 2012