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Number Theory Books

You are currently browsing 1–10 of 81 new and published books in the subject of Number Theory — sorted by publish date from newer books to older books.

For books that are not yet published; please browse forthcoming books.

New and Published Books

  1. Analytic Hyperbolic Geometry in N Dimensions

    An Introduction

    By Abraham Albert Ungar

    The concept of the Euclidean simplex is important in the study of n-dimensional Euclidean geometry. This book introduces for the first time the concept of hyperbolic simplex as an important concept in n-dimensional hyperbolic geometry. Following the emergence of his gyroalgebra in 1988, the...

    Published December 16th 2014 by CRC Press

  2. Elementary Number Theory

    By James S. Kraft, Lawrence C. Washington

    Elementary Number Theory takes an accessible approach to teaching students about the role of number theory in pure mathematics and its important applications to cryptography and other areas. The first chapter of the book explains how to do proofs and includes a brief discussion of lemmas,...

    Published November 23rd 2014 by Chapman and Hall/CRC

  3. An Introduction to Number Theory with Cryptography

    By James S. Kraft, Lawrence C. Washington

    Number theory has a rich history. For many years it was one of the purest areas of pure mathematics, studied because of the intellectual fascination with properties of integers. More recently, it has been an area that also has important applications to subjects such as cryptography. An Introduction...

    Published September 5th 2013 by Chapman and Hall/CRC

  4. Handbook of Finite Fields

    By Gary L. Mullen, Daniel Panario

    Series: Discrete Mathematics and Its Applications

    Poised to become the leading reference in the field, the Handbook of Finite Fields is exclusively devoted to the theory and applications of finite fields. More than 80 international contributors compile state-of-the-art research in this definitive handbook. Edited by two renowned researchers, the...

    Published June 16th 2013 by Chapman and Hall/CRC

  5. Quadratic Irrationals

    An Introduction to Classical Number Theory

    By Franz Halter-Koch

    Series: Chapman & Hall/CRC Pure and Applied Mathematics

    Quadratic Irrationals: An Introduction to Classical Number Theory gives a unified treatment of the classical theory of quadratic irrationals. Presenting the material in a modern and elementary algebraic setting, the author focuses on equivalence, continued fractions, quadratic characters, quadratic...

    Published June 16th 2013 by Chapman and Hall/CRC

  6. Algebraic Curves in Cryptography

    By San Ling, Huaxiong Wang, Chaoping Xing

    Series: Discrete Mathematics and Its Applications

    The reach of algebraic curves in cryptography goes far beyond elliptic curve or public key cryptography yet these other application areas have not been systematically covered in the literature. Addressing this gap, Algebraic Curves in Cryptography explores the rich uses of algebraic curves in a...

    Published June 12th 2013 by Chapman and Hall/CRC

  7. Number, Shape, & Symmetry

    An Introduction to Number Theory, Geometry, and Group Theory

    By Diane L. Herrmann, Paul J. Sally, Jr.

    Through a careful treatment of number theory and geometry, Number, Shape, & Symmetry: An Introduction to Number Theory, Geometry, and Group Theory helps readers understand serious mathematical ideas and proofs. Classroom-tested, the book draws on the authors’ successful work with...

    Published October 17th 2012 by A K Peters/CRC Press

  8. Encounters with Chaos and Fractals, Second Edition

    By Denny Gulick

    Now with an extensive introduction to fractal geometry Revised and updated, Encounters with Chaos and Fractals, Second Edition provides an accessible introduction to chaotic dynamics and fractal geometry for readers with a calculus background. It incorporates important mathematical concepts...

    Published April 25th 2012 by Chapman and Hall/CRC

  9. Lectures on N_X(p)

    By Jean-Pierre Serre

    Series: Research Notes in Mathematics

    Lectures on NX(p) deals with the question on how NX(p), the number of solutions of mod p congruences, varies with p when the family (X) of polynomial equations is fixed. While such a general question cannot have a complete answer, it offers a good occasion for reviewing various techniques in l-adic...

    Published November 2nd 2011 by A K Peters/CRC Press

  10. Lattice Basis Reduction

    An Introduction to the LLL Algorithm and Its Applications

    By Murray R. Bremner

    Series: Chapman & Hall Pure and Applied Mathematics

    First developed in the early 1980s by Lenstra, Lenstra, and Lovász, the LLL algorithm was originally used to provide a polynomial-time algorithm for factoring polynomials with rational coefficients. It very quickly became an essential tool in integer linear programming problems and was later...

    Published August 11th 2011 by CRC Press