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#### Perfect, Amicable and Sociable Numbers

World Scientific Publishing Company 1996; US$ 134.00This book is about perfect, amicable and sociable numbers, with an emphasis on amicable numbers, from both a mathematical and particularly a computational point of view. Perfect and amicable numbers have been studied since antiquity, nevertheless, many problems still remain. The book introduces the basic concepts and results of perfect, amicable and... 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

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...

#### Histoire de l'analyse diophantienne classique

De Gruyter 2013; US$ 154.00This is the first study of the history of Diophantine analysis and the theory of numbers from Ab? K?mil to Fermat (9 th -17 th century). It thus offers an elaborate and detailed overview on a fundamental chapter on classical mathematical thought and its relation to algebra and Diophantus? Arithmetica . more...

#### Linear Algebra, Rational Approximation and Orthogonal Polynomials

Elsevier Science 1997; US$ 255.00Evolving 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...

#### The Large Sieve and its Applications

Cambridge University Press 2008; US$ 100.00Explains new applications of the 'large sieve', an important tool of analytic number theory, presenting potential uses beyond this area. 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...

#### On the Cohomology of Certain Non-Compact Shimura Varieties (AM-173)

Princeton University Press 2010; US$ 52.50This book studies the intersection cohomology of the Shimura varieties associated to unitary groups of any rank over Q. In general, these varieties are not compact. The intersection cohomology of the Shimura variety associated to a reductive group G carries commuting actions of the absolute Galois group of the reflex field and of the group G(Af) of... more...

#### Elliptic Diophantine Equations

De Gruyter 2013; US$ 126.00This book presents in a unified way the beautiful and deep mathematics, both theoretical and computational, on which the explicit solution of an elliptic Diophantine equation is based. It collects numerous results and methods that are scattered in literature. Some results are even hidden behind a number of routines in software packages,... more...

#### Euclidean Shortest Paths

Springer London 2011; US$ 129.00This book reviews algorithms for the exact or approximate solution of shortest-path problems, with a specific focus on a class of algorithms called rubberband algorithms. The coverage includes mathematical proofs for many of the given statements. more...