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#### The Algorithmic Resolution of Diophantine Equations

Cambridge University Press 1998; US$ 56.00A coherent account of the computational methods used to solve diophantine equations. more...

#### Analytic Methods for Diophantine Equations and Diophantine Inequalities

Cambridge University Press 2005; US$ 60.00Based on lectures given by Davenport at the University of Michigan in the early 1960s. more...

#### Applied Algebraic Dynamics

De Gruyter 2009; US$ 196.00This 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...

#### Chinese Remainder Theorem

World Scientific Publishing Company 1996; US$ 92.00Chinese Remainder Theorem, CRT, is one of the jewels of mathematics. It is a perfect combination of beauty and utility or, in the words of Horace, omne tulit punctum qui miscuit utile dulci. Known already for ages, CRT continues to present itself in new contexts and open vistas for new types of applications. So far, its usefulness has been obvious... more...

#### Diophantine Analysis

Cambridge University Press 1986; US$ 52.00These papers were presented at the 1985 Australian Mathematical Society convention. They survey recent work in Diophantine analysis. more...

#### Diophantine Analysis

CRC Press 2005; US$ 104.95INTRODUCTION: BASIC PRINCIPLES Who was Diophantus? Pythagorean triples Fermat's last theorem The method of infinite descent Cantor's paradise Irrationality of e Irrationality of pi Approximating with rationals Linear diophantine equations Exercises CLASSICAL APPROXIMATION THEOREMS Dirichlet's approximation theorem A first irrationality criterion... more...

#### Diophantine Approximation

Springer 2008; US$ 149.00This 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...

#### Diophantine Equations over Function Fields

Cambridge University Press 1984; US$ 48.00A self-contained account of a new approach to the subject. more...