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#### Quantitative Arithmetic of Projective Varieties

Springer 2009; US$ 89.99Describes counting rational points of bounded height on projective algebraic varieties. This book discusses the topic that lies at the interface of analytic number theory and Diophantine geometry. more...

#### Lectures on Arakelov Geometry

Cambridge University Press 1992; US$ 46.00An account for graduate students of this new technique in diophantine geometry; includes account of higher dimensional theory. more...

#### Modular Representation Theory of Finite Groups

Springer 2012; US$ 69.95Representation theory studies maps from groups into the general linear group of a finite-dimensional vector space. For finite groups the theory comes in two distinct flavours. In the 'semisimple case' (for example over the field of complex numbers) one can use character theory to completely understand the representations. This by far is... more...

#### Galois Representations in Arithmetic Algebraic Geometry

Cambridge University Press 1998; US$ 99.00Conference proceedings based on the 1996 LMS Durham Symposium 'Galois representations in arithmetic algebraic geometry'. more...

#### 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

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 Equations over Function Fields

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

#### 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...

#### 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...