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Logarithmic Forms and Diophantine Geometry
Cambridge University Press 2008; US$ 72.00An account of effective methods in transcendental number theory and Diophantine geometry by eminent authors. more...
Metric Diophantine Approximation on Manifolds
Cambridge University Press 1999; US$ 90.00This book is concerned with Diophantine approximation on smooth manifolds embedded in Euclidean space. more...
Heights in Diophantine Geometry
Cambridge University Press 2006; US$ 79.00Diophantine geometry has been studied by number theorists for thousands of years, this monograph is a bridge between the classical theory and modern approach via arithmetic geometry. The treatment is largely self-contained, with proofs given in full detail. Many results appear here for the first time. more...
Quantitative Arithmetic of Projective Varieties
Springer 2009; US$ 99.00Describes counting rational points of bounded height on projective algebraic varieties. This book discusses the topic that lies at the interface of analytic number theory and Diophantine geometry. more...
Linear Algebra, Rational Approximation and Orthogonal Polynomials
Elsevier Science 1997; US$ 240.00Evolving from an elementary discussion, this book develops the Euclidean algorithm to a very powerful tool to deal with general continued fractions, non-normal Padé tables, look-ahead algorithms for Hankel and Toeplitz matrices, and for Krylov subspace methods. It introduces the basics of fast algorithms for structured problems and shows how they deal... more...
Analytic Methods for Diophantine Equations and Diophantine Inequalities
Cambridge University Press 2005; US$ 54.00Harold Davenport was one of the truly great mathematicians of the twentieth century. Based on lectures he gave at the University of Michigan in the early 1960s, this book is concerned with the use of analytic methods in the study of integer solutions to Diophantine equations and Diophantine inequalities. more...
Applied Algebraic Dynamics
De Gruyter 2009; US$ 168.00This monograph presents recent developments of the theory of algebraic dynamical systems and their applications to computer sciences, cryptography, cognitive sciences, psychology, image analysis, and numerical simulations. The most important mathematical results presented in this book are in the fields of ergodicity, p-adic numbers, and noncommutative... more...
The Large Sieve and its Applications
Cambridge University Press 2008; US$ 90.00Explains new applications of the 'large sieve', an important tool of analytic number theory, presenting potential uses beyond this area. more...









