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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$ 182.00

    Die 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...

  • The Quadratic Reciprocity Lawby Oswald Baumgart; Franz Lemmermeyer

    Springer International Publishing 2015; US$ 71.61

    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...

  • 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$ 210.00

    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$ 140.00

    This series is devoted to the publication of high-level monographs which cover the whole spectrum of current discrete mathematics and its applications in various fields. One of its main objectives is to make available to the professional community expositions of results and foundations of methods that play an important role in both the theory and... 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...