Editorial Reviews. Review. "This book gives the necessary intuitive background to study the Logarithmic Forms and Diophantine Geometry (New Mathematical Monographs) - Kindle edition by A. Baker, G. Wüstholz. Download it once and.
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- Logarithmic Forms and Diophantine Geometry. New Mathematical Monographs, Volume 9. by Alan Baker
- Logarithmic Forms and Diophantine Geometry. New Mathematical Monographs, Volume 9.
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There is now much interplay between studies on logarithmic forms and deep aspects of arithmetic algebraic geometry.
Editorial Reviews
New light has been shed, for instance, on the famous conjectures of Tate and Shafarevich relating to abelian varieties and the associated celebrated discoveries of Faltings establishing the Mordell conjecture. This book gives an account of the theory of linear forms in the logarithms of algebraic numbers with special emphasis on the important developments of the past twenty-five years.
The first part covers basic material in transcendental number theory but with a modern perspective. The remainder assumes some background in Lie algebras and group varieties, and covers, in some instances for the first time in book form, several advanced topics.
Logarithmic Forms and Diophantine Geometry. New Mathematical Monographs, Volume 9. by Alan Baker
A comprehensive bibliography rounds off this definitive survey of effective methods in Diophantine geometry. Read more Read less. Kindle Cloud Reader Read instantly in your browser. Product details File Size: Up to 4 simultaneous devices, per publisher limits Publisher: January 17, Sold by: Related Video Shorts 0 Upload your video.
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Write a customer review. This book is in fact concerned with the theory of transcendental numbers. Transcendental numbers are those numbers that do not arise as zeros of polynomial equations with integer coefficients, and the authors are two of the leading, if not the leading, experts in the field. Baker got a Fields Medal for a strong generalization of the solution to Hilbert's 7th problem. Th First some background to this book; even to many professional mathematicians, the title might not convey too much information.
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- Logarithmic Forms and Diophantine Geometry.
- Logarithmic Forms and Diophantine Geometry by A. Baker.
The present book can be seen as a contemporary part II of Baker's book on transcendental numbers, even though it is more or less self-contained. Some of the more classical results are only sketched in the first chapter. Some knowledge of Galois theory is required.
Logarithmic Forms and Diophantine Geometry. New Mathematical Monographs, Volume 9.
The style of the book is best described as that of a survey article. Very terse explanations and proofs, few motivations. Each section focuses on one main result and then supplements it with sketches of more extensions and a survey of the literature related to this result. There are no discussion topics on this book yet. Alan Baker was an English mathematician, known for his work on effective methods in Number theory, in particular those arising from transcendence theory. He was awarded the Fields Medal in , at age He was a visiting scholar at the Institute for Advanced Study in the fall of 19 Alan Baker was an English mathematician, known for his work on effective methods in Number theory, in particular those arising from transcendence theory.
He was a visiting scholar at the Institute for Advanced Study in the fall of He is a fellow of Trinity College, Cambridge.