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Diophantine analysis

Most popular at the top

  • Perfect, Amicable and Sociable Numbersby Song Y. Yan

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

    This 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 Theoremby C. Ding

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

    Chinese 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 Analysisby Jorn Steuding

    CRC Press 2005; US$ 104.95

    While 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...

  • Histoire de l'analyse diophantienne classiqueby Roshdi Rashed

    De Gruyter 2013; US$ 140.97

    This 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...

  • The Quadratic Reciprocity Lawby Oswald Baumgart; Franz Lemmermeyer

    Springer International Publishing 2015; US$ 65.08

    This 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...

  • Linear Algebra, Rational Approximation and Orthogonal Polynomialsby A. Bultheel; M. Van Barel

    Elsevier Science 1997; US$ 255.00

    Evolving 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 Applicationsby E. Kowalski

    Cambridge University Press 2008; US$ 100.00

    Explains new applications of the 'large sieve', an important tool of analytic number theory, presenting potential uses beyond this area. more...

  • Applied Algebraic Dynamicsby Vladimir Anashin; Andrei Khrennikov

    De Gruyter 2009; US$ 162.67

    The 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)by Sophie Morel

    Princeton University Press 2010; US$ 60.00 US$ 54.60

    This 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 Equationsby Nikos Tzanakis

    De Gruyter 2013; US$ 108.43

    The series is about Discrete Mathematics and its applications. It covers the whole spectrum of current research in various fields. Its makes available expositions of results and foundations of methods that are important for theory as well as applications. Contributions which are on the borderline of discrete mathematics and related fields... more...