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Number Theory

Most popular at the top

  • Continued Fractionsby Doug Hensley

    World Scientific Publishing Company 2006; US$ 193.00

    The Euclidean algorithm is one of the oldest in mathematics, while the study of continued fractions as tools of approximation goes back at least to Euler and Legendre. While our understanding of continued fractions and related methods for simultaneous diophantine approximation has burgeoned over the course of the past decade and more, many of the results... more...

  • Neverending Fractionsby Jonathan Borwein; Alf van der Poorten; Jeffrey Shallit; Wadim Zudilin

    Cambridge University Press 2014; US$ 32.00

    This introductory text covers a variety of applications to interest every reader, from researchers to amateur mathematicians. more...

  • Basiswissen Zahlentheorieby Kristina Reiss; Gerald Schmieder

    Springer 2014; US$ 29.99

    Kenntnisse uber den Aufbau des Zahlensystems und uber elementare zahlentheoretische Prinzipien gehoren zum unverzichtbaren Grundwissen in der Mathematik. Das vorliegende Buch spannt den Bogen vom Rechnen mit naturlichen Zahlen uber Teilbarkeitseigenschaften und Kongruenzbetrachtungen bis hin zu zahlentheoretischen Funktionen und Anwendungen wie der... more...

  • Algebraic Number Theoryby A. Fröhlich; M. J. Taylor

    Cambridge University Press 1991; US$ 74.00

    A graduate text providing a brisk, thorough treatment of the foundations of algebraic number theory. more...

  • Liebe und Mathematikby Edward Frenkel; Thomas Filk

    Springer Berlin Heidelberg 2014; US$ 29.99

    Eine Liebeserklärung an die Mathematik und eine Autobiographie wie ein großer russischer Roman ? der New York Times -Bestseller des brillanten Mathematikers Edward Frenkel Zwei faszinierende Erzählungen ? die eine mathematischer Natur, die andere persönlich ? sind in Liebe und Mathematik miteinander verwoben ? Geschickt führt Frenkel den... more...

  • Combinatorial and Additive Number Theoryby Melvyn B. Nathanson

    Springer New York 2014; US$ 139.00

    This proceedings volume is based on papers presented at the Workshops on Combinatorial and Additive Number Theory (CANT), which were held at the Graduate Center of the City University of New York in 2011 and 2012. The goal of the workshops is to survey recent progress in combinatorial number theory and related parts of mathematics. The workshop attracts... more...

  • Uniform Distribution of Sequencesby L. Kuipers; H. Niederreiter

    Dover Publications 2012; US$ 22.95

    The theory of uniform distribution began with Hermann Weyl's celebrated paper of 1916. In later decades, the theory moved beyond its roots in diophantine approximations to provide common ground for topics as diverse as number theory, probability theory, functional analysis, and topological algebra. This book summarizes the theory's development from... more...

  • Advanced Number Theoryby Harvey Cohn

    Dover Publications 2012; US$ 10.99

    "A very stimulating book ... in a class by itself." ? American Mathematical Monthly Advanced students, mathematicians and number theorists will welcome this stimulating treatment of advanced number theory, which approaches the complex topic of algebraic number theory from a historical standpoint, taking pains to show the reader how concepts, definitions... more...

  • Essays on the Theory of Numbersby Richard Dedekind

    Dover Publications 2012; US$ 9.95

    This volume contains the two most important essays on the logical foundations of the number system by the famous German mathematician J. W. R. Dedekind. The first presents Dedekind's theory of the irrational number-the Dedekind cut idea-perhaps the most famous of several such theories created in the 19th century to give a precise meaning to irrational... more...

  • The Number Systemby H. A. Thurston

    Dover Publications 2012; US$ 7.99

    The teaching of mathematics has undergone extensive changes in approach, with a shift in emphasis from rote memorization to acquiring an understanding of the logical foundations and methodology of problem solving. This book offers guidance in that direction, exploring arithmetic's underlying concepts and their logical development. This volume's great... more...