Preface. 1. Transcendence origins; 2. Logarithmic forms; 3. Diophantine problems; 4. Commutative algebraic groups; 5. Multiplicity estimates; 6. The analytic subgroup theorem; 7. The quantitative theory; 8. Further aspects of Diophantine geometry; Bibliography; Index.

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An account of effective methods in transcendental number theory and Diophantine geometry by eminent authors.

About the Author

Alan Baker ,FRS, is Emeritus Professor of Pure Mathematics in the University of Cambridge and Fellow of Trinity College, Cambridge. He has received numerous international awards, including, in 1970, a Fields medal for his work in number theory. This is his third authored book: he has edited four others for publication.

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"This book gives the necessary intuitive background to study the original journal articles of Baker, Masser, Wüstholz and others..."
Yuri Bilu, Mathematical Reviews

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About the Author

Reviews