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- 240 pages
- English
- ePUB (mobile friendly)
- Available on iOS & Android
eBook - ePub
Irrationality and Transcendence in Number Theory
Book details
Table of contents
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About This Book
Irrationality and Transcendence in Number Theory tells the story of irrational numbers from their discovery in the days of Pythagoras to the ideas behind the work of Baker and Mahler on transcendence in the 20th century. It focuses on themes of irrationality, algebraic and transcendental numbers, continued fractions, approximation of real numbers by rationals, and relations between automata and transcendence. This book serves as a guide and introduction to number theory for advanced undergraduates and early postgraduates. Readers are led through the developments in number theory from ancient to modern times. The book includes a wide range of exercises, from routine problems to surprising and thought-provoking extension material.
Features
- Uses techniques from widely diverse areas of mathematics, including number theory, calculus, set theory, complex analysis, linear algebra, and the theory of computation
- Suitable as a primary textbook for advanced undergraduate courses in number theory, or as supplementary reading for interested postgraduates
- Each chapter concludes with an appendix setting out the basic facts needed from each topic, so that the book is accessible to readers without any specific specialist background
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Yes, you can access Irrationality and Transcendence in Number Theory by David Angell in PDF and/or ePUB format, as well as other popular books in Mathematics & Number Theory. We have over one million books available in our catalogue for you to explore.
Information
Table of contents
- Cover Page
- Half-Title Page
- Title Page
- Copyright Page
- Dedication Page
- Contents
- Foreword
- Preface
- Author
- Chapter 1 ā¾ Introduction
- Chapter 2 ā¾ Hermite's Method
- Chapter 3 ā¾ Algebraic and Transcendental Numbers
- Chapter 4 ā¾ Continued Fractions
- Chapter 5 ā¾ Hermite's Method for Transcendence
- Chapter 6 ā¾ Automata and Transcendence
- Chapter 7 ā¾ Lambert's Irrationality Proofs
- Hints for exercises
- Bibliography
- Index