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Informationen zum Autor Alan Baker was one of the leading British mathematicians of the past century. He took great strides in number theory by, among other achievements, obtaining a vast generalization of the Gelfond–Schneider Theorem and using it to give effective solutions to a large class of Diophantine problems. This work kicked off a new era in transcendental number theory and won Baker the Fields Medal in 1970. David Masser is Professor Emeritus in the Department of Mathematics and Computer Science at the University of Basel. He is a leading researcher in transcendence methods and applications and helped correct the proofs of the original edition of Transcendental Number Theory as Baker's student. Klappentext First published in 1975, this classic book gives a systematic account of transcendental number theory, including the author's contributions and their many applications. For this edition, David Masser has written an introduction explaining Baker's achievement in broad strokes, and an afterword listing more recent developments related to Baker's work. Zusammenfassung First published in 1975, this classic book gives a systematic account of transcendental number theory, including the author's contributions and their many applications. For this edition, David Masser has written an introduction explaining Baker's achievement in broad strokes, and an afterword listing more recent developments related to Baker's work. Inhaltsverzeichnis Introduction David Masser; Preface; 1. The origins; 2. Linear forms in logarithms; 3. Lower bounds for linear forms; 4. Diophantine equations; 5. Class numbers of imaginary quadratic fields; 6. Elliptic functions; 7. Rational approximations to algebraic numbers; 8. Mahler's classification; 9. Metrical theory; 10. The exponential function; 11. The Shiegel-Shidlovsky theorems; 12. Algebraic independence; Bibliography; Original papers; Further publications; New developments; Some Developments since 1990 David Masser; Index....
