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Irrationality and Transcendence in Number Theory

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£85.45 £64.06 £68.72 £73.39 £78.06 £82.73 £87.40 01 July 2024 18 November 2024 08 April 2025 26 August 2025 14 January 2026

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Description

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

Product Specifications

Format
hardcover
Domain
Amazon UK
Release Date
31 December 2021
Listed Since
29 July 2021

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