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Number Theory

Most popular at the top

  • Introductory Real Analysisby A. N. Kolmogorov; S. V. Fomin; Richard A. Silverman

    Dover Publications 2012; US$ 17.95

    Comprehensive, elementary introduction to real and functional analysis covers basic concepts and introductory principles in set theory, metric spaces, topological and linear spaces, linear functionals and linear operators, more. 1970 edition. 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...

  • 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...

  • 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...

  • Essays on the Theory of Numbersby Richard Dedekind

    Dover Publications 2012; US$ 9.95

    Two classic essays by great German mathematician: one provides an arithmetic, rigorous foundation for the irrational numbers, the other is an attempt to give the logical basis for transfinite numbers and properties of the natural numbers. more...

  • The Number Systemby H. A. Thurston

    Dover Publications 2012; US$ 7.99

    This book explores arithmetic's underlying concepts and their logical development, in addition to a detailed, systematic construction of the number systems of rational, real, and complex numbers. 1956 edition. more...

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

    Dover Publications 2013; US$ 31.99

    Written by a distinguished University of Chicago professor, this 2nd volume in the series History of the Theory of Numbers presents material related to Diophantine Analysis. 1919 edition. more...

  • Algebraic Number Theoryby Edwin Weiss

    Dover Publications 2012; US$ 15.99

    Ideal either for classroom use or as exercises for mathematically minded individuals, this text introduces elementary valuation theory, extension of valuations, local and ordinary arithmetic fields, and global, quadratic, and cyclotomic fields. 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 more. more...

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

    Dover Publications 2012; US$ 7.99

    Excellent intro to basics of algebraic number theory. Gausian primes; polynomials over a field; algebraic number fields; algebraic integers and integral bases; uses of arithmetic in algebraic number fields; the fundamental theorem of ideal theory and its consequences; ideal classes and class numbers; Fermat conjecture. 1975 edition. more...