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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...
Arithmetic Compactifications of PEL-Type Shimura Varieties
Princeton University Press 2013; US$ 150.00By studying the degeneration of abelian varieties with PEL structures, this book explains the compactifications of smooth integral models of all PEL-type Shimura varieties, providing the logical foundation for several exciting recent developments. The book is designed to be accessible to graduate students who have an understanding of schemes and abelian... more...
Diophantine Approximation
Springer 2008; US$ 139.99This volume contains 21 research and survey papers on recent developments in the field of diophantine approximation. This includes contributions to Wolfgang Schmidt's subspace theorem and its applications to diophantine equations and to the study of linear recurring sequences. The articles are either in the spirit of more classical diophantine... more...
Distribution Theory of Algebraic Numbers
De Gruyter 2008; US$ 196.00The book timely surveys new research results and related developments in Diophantine approximation, a division of number theory which deals with the approximation of real numbers by rational numbers. The book is appended with a list of challenging open problems and a comprehensive list of references. From the contents: Field extensions ? Algebraic... more...
Euclidean Shortest Paths
Springer 2011; US$ 99.99This unique text/reference reviews algorithms for the exact or approximate solution of shortest-path problems, with a specific focus on a class of algorithms called rubberband algorithms. Discussing each concept and algorithm in depth, the book includes mathematical proofs for many of the given statements. Topics and features: provides theoretical... more...
Exponential Diophantine Equations
Cambridge University Press 1986; US$ 47.00This is a integrated presentation of the theory of exponential diophantine equations. more...
Galois Representations in Arithmetic Algebraic Geometry
Cambridge University Press 1998; US$ 94.00Conference proceedings based on the 1996 LMS Durham Symposium 'Galois representations in arithmetic algebraic geometry'. more...
