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#### Perfect, Amicable and Sociable Numbers

World Scientific Publishing Company 1996; US$ 82.00 US$ 74.62This 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$ 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...

#### Diophantine Analysis

CRC Press 2005; US$ 104.95While its roots reach back to the third century, diophantine analysis continues to be an extremely active and powerful area of number theory. Many diophantine problems have simple formulations, they can be extremely difficult to attack, and many open problems and conjectures remain. Diophantine Analysis examines the theory of diophantine approximations... more...

#### The Quadratic Reciprocity Law

Springer International Publishing 2015; US$ 65.16This 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...

#### Histoire de l'analyse diophantienne classique

De Gruyter 2013; US$ 182.00Die Reihe widmet sich grundlegenden Texten der Wissenschaft und Philosophie der Antike und der islamischen Welt, die arabisch überliefert sind. Durch Bereitstellung kritischer Textausgaben und monographischer Untersuchungen werden der Forschung diejenigen Themenbereiche zugänglich gemacht, in denen sich die Wissenschaft zwischen der Antike... 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$ 162.87The 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...

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

Princeton University Press 2010; US$ 60.00 US$ 54.60This 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$ 140.00This book presents in a unified and concrete 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 the literature. Some results are hidden behind a number of routines in software... more...