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- 348 pages
- English
- PDF
- Available on iOS & Android
eBook - PDF
Book details
Table of contents
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About This Book
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.
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Table of contents
- Contents
- Preface
- 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. Padé 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
- Bibliography
- Index