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#### Metric Diophantine Approximation on Manifolds

Cambridge University Press 1999; US$ 96.00This 1999 book is concerned with Diophantine approximation on smooth manifolds embedded in Euclidean space. more...

#### Modular Representation Theory of Finite Groups

Springer London 2012; US$ 69.95This book provides a concise introduction to modular representation theory for masters-level students. It details basic results, tools, and techniques as well as compares group theoretic and module theoretic concepts. more...

#### Pell?s Equation

Springer New York 2006; US$ 119.00Pell's equation is an important topic of algebraic number theory that involves quadratic forms and the structure of rings of integers in algebraic number fields. The history of this equation is long and circuitous, and involved a number of different approaches before a definitive theory was found. There were partial patterns and quite effective methods... more...

#### Perfect, Amicable and Sociable Numbers

World Scientific Publishing Company 1996; US$ 77.00This 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...

#### The Quadratic Reciprocity Law

Springer International Publishing 2015; US$ 89.99This book is the English translation of Baumgart?s thesis on the early proofs of the quadratic reciprocity law (?Über das quadratische Reciprocitätsgesetz. Eine vergleichende Darstellung der Beweise?), first published in 1885. It is divided into two parts. The first part presents a very brief history of the development of number theory up to Legendre,... more...

#### Quantitative Arithmetic of Projective Varieties

Birkhäuser Basel 2009; US$ 89.99This book examines the range of available tools from analytic number theory that can be applied to study the density of rational points on projective varieties. 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...

#### Elliptic Diophantine Equations

De Gruyter 2013; US$ 133.00This 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...

#### 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...

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

Princeton University Press 2010; US$ 58.00This 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...