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Number Theory

Most popular at the top

  • 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...

  • History of the Theory of Numbers, Volume IIby Leonard Eugene Dickson

    Dover Publications 2013; US$ 31.99

    The three-volume series History of the Theory of Numbers is the work of the distinguished mathematician Leonard Eugene Dickson, who taught at the University of Chicago for four decades and is celebrated for his many contributions to number theory and group theory. This second volume in the series, which is suitable for upper-level undergraduates... more...

  • Algebraic Number Theoryby Edwin Weiss

    Dover Publications 2012; US$ 15.99

    Careful organization and clear, detailed proofs characterize this methodical, self-contained exposition of basic results of classical algebraic number theory from a relatively modem point of view. This volume presents most of the number-theoretic prerequisites for a study of either class field theory (as formulated by Artin and Tate) or the contemporary... more...

  • Elementary Number Theoryby Ethan D. Bolker

    Dover Publications 2012; US$ 14.95

    This text uses the concepts usually taught in the first semester of a modern abstract algebra course to illuminate classical number theory: theorems on primitive roots, quadratic Diophantine equations, and the Fermat conjecture for exponents three and four. The text contains abundant numerical examples and a particularly helpful collection of exercises,... more...

  • The Theory of Algebraic Numbersby Harry Pollard; Harold G. Diamond

    Dover Publications 2012; US$ 7.99

    An excellent introduction to the basics of algebraic number theory, this concise, well-written volume examines Gaussian primes; polynomials over a field; algebraic number fields; and algebraic integers and integral bases. After establishing a firm introductory foundation, the text explores the uses of arithmetic in algebraic number fields; the fundamental... more...

  • The Theory of Remaindersby Andrea Rothbart

    Dover Publications 2012; US$ 12.95

    An imaginative introduction to number theory, this unique approach employs a pair of fictional characters, Ant and Gnam. Ant leads Gnam through a variety of theories, and together, they put the theories into action?applying linear diophantine equations to football scoring, using a black-magic device to simplify problems in modular structures, and... more...

  • Theory and Application of Infinite Seriesby Konrad Knopp

    Dover Publications 2013; US$ 22.95

    Unusually clear and interesting classic covers real numbers and sequences, foundations of the theory of infinite series and development of the theory (series of valuable terms, Euler's summation formula, asymptotic expansions, other topics). Includes exercises. more...

  • Algebraic Theory of Numbersby Pierre Samuel

    Dover Publications 2013; US$ 10.95

    This text covers the basics of algebraic number theory, including divisibility theory in principal ideal domains, the unit theorem, finiteness of the class number, and Hilbert ramification theory. 1970 edition. more...

  • Numbers and Operations Workbookby Mel Friedman

    Research & Education Association 2012; US$ 14.95

    About This Book This book will help high school math students at all learning levels understand basic mathematics. Students will develop the skills, confidence, and knowledge they need to succeed on high school math exams with emphasis on passing high school graduation exams. More than 20 easy-to-follow lessons... more...