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  2. Matematikkens fundament
  3. Mængdelære

Irrationality and Transcendence in Number Theory

Af: David Angell Engelsk Paperback

Irrationality and Transcendence in Number Theory

Af: David Angell Engelsk Paperback
Tjek vores konkurrenters priser

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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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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Se mere i:
Produktdetaljer
Sprog: Engelsk
Sider: 224
ISBN-13: 9780367628758
Indbinding: Paperback
Udgave:
ISBN-10: 0367628759
Kategori: Mængdelære
Udg. Dato: 29 jan 2024
Længde: 21mm
Bredde: 235mm
Højde: 157mm
Forlag: Taylor & Francis Ltd
Oplagsdato: 29 jan 2024
Forfatter(e): David Angell
Forfatter(e) David Angell

Kategori Mængdelære

ISBN-13 9780367628758

Sprog Engelsk

Indbinding Paperback

Sider 224

Udgave

Længde 21mm

Bredde 235mm

Højde 157mm

Udg. Dato 29 jan 2024

Oplagsdato 29 jan 2024

Forlag Taylor & Francis Ltd

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