Books written by Alan Baker.
Baker generalized the Gelfond-Schneider theorem (the solution to Hilbert's seventh problem). From this work he generated transcendental numbers not previously identified. For these achievements he was recognized with the Fields Medal in 1970.sea
A Comprehensive Course in Number Theory
Developed from the author's popular text, A Concise Introduction to the Theory of Numbers, this book provides a comprehensive initiation to all the major branches of number theory.
A Concise Introduction to the Theory of Numbers
The book is based on Professor Baker's lectures given at the University of Cambridge and is intended for undergraduate students of mathematics. Professor Baker describes the rudiments of number theory in a concise, simple and direct manner.
Logarithmic Forms and Diophantine Geometry
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.
Transcendental Number Theory
First published in 1975, this classic book gives a systematic account of transcendental number theory, that is those numbers which cannot be expressed as the roots of algebraic equations having rational coefficients.
New Advances in Transcendence Theory
This is an account of the proceedings of a very successful symposium of Transcendental Number Theory held in Durham in 1986. Most of the leading international specialists were present and the lectures reflected the great advances that have taken place in this area.