000			a
999			_c30682 _d30682
008			220322b xxu||||| |||| 00| 0 eng d
020			_a9780367628376
082			_a512.73 _bANG
100			_aAngell, David
245			_aIrrationality and transcendence in number theory
260			_bChapman and Hall/ CRC Press _c2022 _aBoca Raton :
300			_axvii, 224 p. ; _bill., _c24 cm
365			_b74.99 _cGBP _d105.90
504			_aIncludes bibliographical references and index.
520			_aIrrationality 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.
650			_aIrrational numbers
650			_aTranscendental numbers
650			_aNumber theory
650			_aContinued fraction
650			_aConvergents
650			_aProof properties
650			_aResult root
650			_a Corollary
650			_a Symmetric polynomials
650			_aLionville numbers
942			_2ddc _cBK