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Number Theory

Most popular at the top

  • Advanced Markov Chain Monte Carlo Methodsby Faming Liang; Chuanhai Liu; Raymond Carroll

    Wiley 2011; US$ 128.00

    Markov Chain Monte Carlo (MCMC) methods are now an indispensable tool in scientific computing. This book discusses recent developments of MCMC methods with an emphasis on those making use of past sample information during simulations. The application examples are drawn from diverse fields such as bioinformatics, machine learning, social science, combinatorial... more...

  • Mathematics: The Man-Made Universeby Sherman K. Stein

    Dover Publications 2013; US$ 29.95

    Anyone can appreciate the beauty, depth, and vitality of mathematics with the help of this highly readable text, specially developed from a college course designed to appeal to students in a variety of fields. Readers with little mathematical background are exposed to a broad range of subjects chosen from number theory, topology, set theory, geometry,... 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...

  • Fundamentals of Number Theoryby William J. LeVeque

    Dover Publications 2014; US$ 14.95

    This excellent textbook introduces the basics of number theory, incorporating the language of abstract algebra. A knowledge of such algebraic concepts as group, ring, field, and domain is not assumed, however; all terms are defined and examples are given ? making the book self-contained in this respect. The author begins with an introductory chapter... 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...

  • 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...

  • 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...