Irrationality and Transcendence in Number Theory

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  • Engels
  • Paperback
  • 9780367628758
  • 29 januari 2024
  • 224 pagina's
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Samenvatting

This book 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, etc.





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

Productspecificaties

Inhoud

Taal
en
Bindwijze
Paperback
Oorspronkelijke releasedatum
29 januari 2024
Aantal pagina's
224

Betrokkenen

Hoofdauteur
David Angell
Hoofduitgeverij
Chapman & Hall/Crc

Overige kenmerken

Product breedte
156 mm
Product lengte
234 mm
Verpakking breedte
156 mm
Verpakking lengte
234 mm
Verpakkingsgewicht
453 g

EAN

EAN
9780367628758

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