Number theory with computer applications / Ramanujachary Kumanduri and Cristina Romero.
By: Kumanduri, Ramanujachary
.
Contributor(s): Romero, Cristina
.
Material type: ![materialTypeLabel](/opac-tmpl/lib/famfamfam/BK.png)
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Item type | Current library | Call number | Copy number | Status | Date due | Barcode | Item holds |
---|---|---|---|---|---|---|---|
General Lending | MTU Bishopstown Library Lending | 512.7 (Browse shelf(Opens below)) | 1 | Available | 00069062 |
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