000			02234nam a22003257a 4500
003			OSt
005			20241017102920.0
008			241016b |||||||| |||| 00| 0 hin d
020			_a9781009229944
040			_aNISER LIBRARY _beng _cNISER LIBRARY
041			_aEnglish
082			_a511.46 _bBAK-T
100			_aBaker, Alan
245			_aTranscendental number theory
260			_aCambridge : _bCambridge University Press, _c1975.
300			_axiv, 169p.
490			_aCambridge mathematical library
500			_a "First published 1975. Reprinted with additional material 1979. Reissued as a paperback with updated material in the Cambridge Mathematical Library series 1990. Reprinted with introduction 2022."-- title page verso.
504			_aIncludes bibliographical references and index.
520			_aFirst published in 1975, this classic book gives a systematic account of transcendental number theory, that is, the theory of those numbers that cannot be expressed as the roots of algebraic equations having rational coefficients. Their study has developed into a fertile and extensive theory, which continues to see rapid progress today. Expositions are presented of theories relating to linear forms in the logarithms of algebraic numbers, of Schmidt's generalization of the Thue–Siegel–Roth theorem, of Shidlovsky's work on Siegel's E-functions and of Sprindžuk's solution to the Mahler conjecture. This edition includes an introduction written by David Masser describing Baker's achievement, surveying the content of each chapter and explaining the main argument of Baker's method in broad strokes. A new afterword lists recent developments related to Baker's work.
650			_aTranscendental numbers
650			_aGelfond-Schneider theorem
650			_aLindemann-Weierstrass theorem
650			_aNumber Theory
700			_aMasser, David
856			_3Table of Contents _uhttps://assets.cambridge.org/97810092/29944/toc/9781009229944_toc.pdf
856			_3Index _uhttps://assets.cambridge.org/97810092/29944/index/9781009229944_index.pdf
856			_3Reviews _uhttps://www.goodreads.com/book/show/60608205-transcendental-number-theory?ref=nav_sb_ss_1_13#CommunityReviews
942			_cBK _2udc
999			_c35300 _d35300