MTU Library Catalogue

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Number theory with computer applications / Ramanujachary Kumanduri and Cristina Romero.

By: Kumanduri, Ramanujachary.
Contributor(s): Romero, Cristina.
Material type: materialTypeLabelBookPublisher: Upper Saddle River : Prentice Hall, 1998Description: xiii, 543 p. : ill. ; 24 cm.ISBN: 013801812X .Subject(s): Number theory | Number theory -- Computer-assisted instructionDDC classification: 512.7
Contents:
Introduction -- Divisibility and primes -- Modular arithmetic -- Fundamental theorems of modular arithmetic -- Cryptography -- Primality testing and factoring -- Primitive roots -- Applications -- Quadratic congruences -- Applications -- Continued fractions -- Factoring methods -- Diophantine approximations -- Diophantine equations -- Arithmetical functions and Dirichlet series -- Distribution of primes -- Quadratic reciprocity law -- Binary quadratic forms -- Elliptic curves.
Holdings
Item type Current library Call number Copy number Status Barcode
General lending MTU Bishopstown Library Lending 512.7 (Browse shelf(Opens below)) 1 Available 00069062
Total holds: 0

Enhanced descriptions from Syndetics:

This book effectively integrates computing concepts into the number theory curriculum using a heuristic approach and strong emphasis on rigorous proofs. KEY TOPICS: Its in-depth coverage of modern applications considers the latest trends and topics, such as elliptic curves--a subject that has seen a rise in popularity in the undergraduate curriculum.

Includes bibliographical references and index.

Introduction -- Divisibility and primes -- Modular arithmetic -- Fundamental theorems of modular arithmetic -- Cryptography -- Primality testing and factoring -- Primitive roots -- Applications -- Quadratic congruences -- Applications -- Continued fractions -- Factoring methods -- Diophantine approximations -- Diophantine equations -- Arithmetical functions and Dirichlet series -- Distribution of primes -- Quadratic reciprocity law -- Binary quadratic forms -- Elliptic curves.

Table of contents provided by Syndetics

  • 1 Introduction
  • 2 Divisibility and Primes
  • 3 Modular Arithmetic
  • 4 Fundamental Theorems of Modular Arithmetic
  • 5 Cryptography
  • 6 Primality Testing and Factoring
  • 7 Primitive Roots
  • 8 Applications
  • 9 Quadratic Congruences
  • 10 Applications
  • 11 Continued Fractions
  • 12 Factoring Methods
  • 13 Diophantine Approximations
  • 14 Diophantine Equations
  • 15 Arithmetical Functions and Dirichlet Series
  • 16 Distribution of Primes
  • 17 Quadratic Reciprocity Law
  • 18 Binary Quadratic Forms
  • 19 Elliptic Curves
  • Appendix A Mathematical Induction
  • Appendix B Binomial Theorem
  • Appendix C Algorithmic Complexity andO-notation
  • Answers and Hints
  • Index of Notation
  • Index