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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$ 134.00

    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$ 92.00

    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

    INTRODUCTION: BASIC PRINCIPLES Who was Diophantus? Pythagorean triples Fermat's last theorem The method of infinite descent Cantor's paradise Irrationality of e Irrationality of pi Approximating with rationals Linear diophantine equations Exercises CLASSICAL APPROXIMATION THEOREMS Dirichlet's approximation theorem A first irrationality criterion... more...

  • Histoire de l'analyse diophantienne classiqueby Roshdi Rashed

    De Gruyter 2013; US$ 154.00

    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...

  • 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$ 182.00

    This monograph presents recent developments of the theory of algebraic dynamical systems and their applications to computer sciences, cryptography, cognitive sciences, psychology, image analysis, and numerical simulations. The most important mathematical results presented in this book are in the fields of ergodicity, p-adic numbers, and noncommutative... more...

  • On the Cohomology of Certain Non-Compact Shimura Varieties (AM-173)by Sophie Morel

    Princeton University Press 2010; US$ 52.50

    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$ 126.00

    This book presents in a unified 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 literature. Some results are even hidden behind a number of routines in software packages,... more...

  • Euclidean Shortest Pathsby Fajie Li; Reinhard Klette

    Springer London 2011; US$ 129.00

    Reviews algorithms for the exact or approximate solution of Euclidean shortest-path problems, with a specific focus on rubberband algorithms Provides theoretical and programming exercises at the end of each chapter Discusses each concept and algorithm in depth, including mathematical proofs for many of the given statements more...