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Number Theory

Most popular at the top

  • 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...

  • Topics in Number Theory, Volumes I and IIby William J. LeVeque

    Dover Publications 2012; US$ 24.95

    Classic two-part work now available in a single volume assumes no prior theoretical knowledge on reader's part and develops the subject fully. Volume I is a suitable first course text for advanced undergraduate and beginning graduate students. Volume II requires a much higher level of mathematical maturity, including a working knowledge of the theory... 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...

  • Elementary Theory of Numbersby William J. LeVeque

    Dover Publications 2014; US$ 7.99

    Superb introduction to Euclidean algorithm and its consequences, congruences, continued fractions, powers of an integer modulo m, Gaussian integers, Diophantine equations, more. Problems, with answers. Bibliography. more...

  • Advanced Number Theoryby Harvey Cohn

    Dover Publications 2012; US$ 10.99

    Eminent mathematician/teacher approaches algebraic number theory from historical standpoint. Demonstrates how concepts, definitions, and theories have evolved during last two centuries. Features over 200 problems and specific theorems. Includes numerous graphs and tables. more...

  • Topological Methods in Galois Representation Theoryby Victor P. Snaith

    Dover Publications 2013; US$ 24.95

    An advanced monograph on Galois representation theory by one of the world's leading algebraists, this volume is directed at mathematics students who have completed a graduate course in introductory algebraic topology. Topics include abelian and nonabelian cohomology of groups, characteristic classes of forms and algebras, explicit Brauer induction... more...

  • Diophantine Approximationsby Ivan Niven

    Dover Publications 2013; US$ 7.95

    This self-contained treatment originated as a series of lectures delivered to the Mathematical Association of America. It covers basic results on homogeneous approximation of real numbers; the analogue for complex numbers; basic results for nonhomogeneous approximation in the real case; the analogue for complex numbers; and fundamental properties... 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...