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Number Theory

Most popular at the top

  • 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...

  • 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 Theory of Numbersby William J. LeVeque

    Dover Publications 2014; US$ 7.99

    Superb introduction for readers with limited formal mathematical training. Topics include Euclidean algorithm and its consequences, congruences, powers of an integer modulo m, continued fractions, Gaussian integers, Diophantine equations, more. Carefully selected problems included throughout, with answers. Only high school math needed. Bibliography.... 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...

  • 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...

  • Fibonacci Numbersby Nikolai Nikolaevich Vorob'ev

    Dover Publications 2013; US$ 9.95

    An engaging treatment of an 800-year-old problem explores the occurrence of Fibonacci numbers in number theory, continued fractions, and geometry. Its entertaining style will appeal to recreational readers and students alike. 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...