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#### Applied Algebraic Dynamics

De Gruyter 2009; US$ 210.00The aim of the series is to present new and important developments in pure and applied mathematics. Well established in the community over two decades, it offers a large library of mathematics including several important classics. The volumes supply thorough and detailed expositions of the methods and ideas essential to the topics in question.... more...

#### Logarithmic Forms and Diophantine Geometry

Cambridge University Press 2008; US$ 92.00An account of effective methods in transcendental number theory and Diophantine geometry by eminent authors. more...

#### Pell’s Equation

Springer New York 2006; US$ 92.49Pell'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...

#### The Quadratic Reciprocity Law

Springer International Publishing 2015; US$ 73.37This 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...

#### 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...

#### Heights in Diophantine Geometry

Cambridge University Press 2007; US$ 72.00This monograph is a bridge between the classical theory and modern approach via arithmetic geometry. more...

#### Quantitative Arithmetic of Projective Varieties

Birkhäuser Basel 2009; US$ 73.37This 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...

#### 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...

#### 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...

#### Chinese Remainder Theorem

World Scientific Publishing Company 1996; US$ 80.00 US$ 72.80Chinese 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...