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Number theory

Most popular at the top

  • Basiswissen Zahlentheorieby Kristina Reiss; Gerald Schmieder

    Springer 2005; US$ 19.95

    Kenntnisse über den Aufbau des Zahlsystems und über elementare zahlentheoretische Prinzipien gehören zum unverzichtbaren Grundwissen in der Mathematik. Das vorliegende Buch spannt den Bogen vom Rechnen mit natürlichen Zahlen über Teilbarkeitseigenschaften und Kongruenzbetrachtungen bis hin zu zahlentheoretischen Funktionen und Anwendungen wie der Kryptographie... more...

  • Numeri e Crittografiaby Stefano Leonesi; Carlo Toffalori

    Springer 2006; US$ 29.95

    La Teoria dei Numeri uno dei settori pi classici della Matematica. I numeri di cui si occupa sono quelli che si chiamano naturali 0, 1, 2, ... e che adoperiamo sin da bambini per contare. Allapparenza semplici e innocui, nascondono tuttavia alcuni dei misteri pi difficili e appassionanti dell'intera Matematica. La Crittografia si interessa invece... more...

  • The Shaping of Arithmetic after C.F. Gauss's Disquisitiones Arithmeticaeby Catherine Goldstein; Norbert Schappacher; Joachim Schwermer

    Springer Berlin Heidelberg 2007; US$ 89.95

    Since its publication, C.F. Gauss's Disquisitiones Arithmeticae (1801) has acquired an almost mythical reputation, standing as an ideal of exposition in notation, problems and methods; as a model of organisation and theory building; and as a source of mathematical inspiration. Eighteen authors - mathematicians, historians, philosophers - have collaborated... more...

  • Number Storyby Peter Michael Higgins

    Springer London 2008; US$ 25.00

    This is an entertaining introduction to the development of numbers and their applications. The book is written in the same user-friendly style that characterises the author?s previous books. It blends easy material with more challenging ideas. more...

  • Walks on Ordinals and Their Characteristicsby Stevo Todorcevic

    Birkhäuser Basel 2007; US$ 129.00

    The analysis of the characteristics of walks on ordinals is a powerful new technique for building mathematical structures, developed by the author over the last twenty years. This is the first book-length exposition of this method. Particular emphasis is placed on applications which are presented in a unified and comprehensive manner and which stretch... more...

  • The Higher Arithmeticby H. Davenport

    Cambridge University Press 2008; US$ 52.00

    A classic text in number theory; this eighth edition contains new material on primality testing written by J. H. Davenport. more...

  • Number theoryby Z.I. Borevich; I.R. Shafarevic

    Elsevier Science 1986; US$ 72.95

    This book is written for the student in mathematics. Its goal is to give a view of the theory of numbers, of the problems with which this theory deals, and of the methods that are used. We have avoided that style which gives a systematic development of the apparatus and have used instead a freer style, in which the problems and the methods of solution... more...

  • Experimental Number Theoryby Fernando Rodriguez Villegas

    Oxford University Press, UK 2007; US$ 69.99

    This graduate text shows how the computer can be used as a tool for research in number theory through numerical experimentation. Examples of experiments in binary quadratic forms, zeta functions of varieties over finite fields, elementary class field theory, elliptic units, modular forms, are provided along with exercises and selected solutions. -... more...

  • Elementary Number Theoryby William Stein

    Springer 2008; US$ 49.95

    Explains classical elementary number theory and elliptic curves. This book discusses elementary topics such as primes, factorization, continued fractions, and quadratic forms, in the context of cryptography and computation. It details elliptic curves, their applications to algorithmic problems, and their connections with problems in number theory. more...

  • Geometry of Numbersby C.G. Lekkerkerker; Pascale Gruber

    Elsevier Science 1987; US$ 72.95

    This volume contains a fairly complete picture of the geometry of numbers, including relations to other branches of mathematics such as analytic number theory, diophantine approximation, coding and numerical analysis. It deals with convex or non-convex bodies and lattices in euclidean space, etc. This second edition was prepared jointly by P.M. Gruber... more...