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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...

  • 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...

  • 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...

  • Fundamentals of Number Theoryby William J. LeVeque

    Dover Publications 2014; US$ 14.95

    Basic treatment, incorporating language of abstract algebra and a history of the discipline. Unique factorization and the GCD, quadratic residues, sums of squares, much more. Numerous problems. Bibliography. 1977 edition. 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...

  • 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...

  • Number Theory and Its Historyby Oystein Ore

    Dover Publications 2012; US$ 16.95

    Unusually clear, accessible introduction covers counting, properties of numbers, prime numbers, Aliquot parts, Diophantine problems, congruences, much more. Bibliography. more...