6 edition of **A Computational Introduction to Number Theory and Algebra** found in the catalog.

- 66 Want to read
- 12 Currently reading

Published
by Cambridge University Press
.

Written in English

- Computers / General

The Physical Object | |
---|---|

Format | Paperback |

Number of Pages | 512 |

ID Numbers | |

Open Library | OL7748806M |

ISBN 10 | 0521617251 |

ISBN 10 | 9780521617253 |

A Computational Introduction to Number Theory and Algebra by Victor Shoup, , available at Book Depository with free delivery worldwide/5(15). of cryptography and coding theory. Thus, the book may be useful for reference or self-study by readers who want to learn about cryptography, or it could also be used as a textbook in a graduate or upper-division undergraduate course on (computational) number theory and algebra, perhaps geared towards computer science students.

Requiring no prior experience with number theory or sophisticated algebraic tools, the book covers many computational aspects of number theory and highlights important and interesting engineering applications. It first builds the foundation of computational number theory by covering the arithmetic of integers and polynomials at a very basic level. by Victor (Author) on Dec Hardcover A Computational Introduction to Number Theory and Algebra A COMPUTATIONAL INTRODUCTION TO NUMBER THEORY AND ALGEBRA by Shoup $ Number Theory (Dover Books on Mathematics)/5(4).

Download This book presents state-of-the-art research and survey articles that highlight work done within the Priority Program SPP “Algorithmic and Experimental Methods in Algebra, Geometry and Number Theory”, which was established and generously supported by the German Research Foundation (DFG) from to This book can serve several purposes. It can be used as a reference and for self-study by readers who want to learn the mathematical foundations of modern cryptography. It is also ideal as a textbook for introductory courses in number theory and algebra, especially .

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A Computational Introduction to Number Theory and Algebra Currently unavailable. This introductory book emphasizes algorithms and applications, such as cryptography and error correcting codes, and is accessible to a broad by: Thus the book can serve several purposes. It can be used as a reference and for self-study by readers who want to learn the mathematical foundations of modern cryptography.

It is also ideal as a textbook for introductory courses in number theory and algebra, especially those geared towards computer science students. A Computational Introduction to Number Theory and Algebra Hardcover – December 1, by Victor (Author) on Dec Hardcover A Computational Introduction to Number Theory and Algebra A COMPUTATIONAL INTRODUCTION TO NUMBER THEORY AND ALGEBRA by Shoup (Author)Author: Victor (Author) on Dec Hardcover A Computational Introduction to Number Theory and Algebra A COMPUTATIONAL INTRODUCTION TO NUMBER THEORY AND ALGEBRA by Shoup.

The book covers both standard background that will always be relevant for these topics: the number theory and algebra background, the probability theory. The computational chapters use pseudocode, so they will not be quickly outdated when new languages become fashionable/5(3).

A Computational Introduction to Number Theory and Algebra. A book introducing basic concepts from computational number theory and algebra, including all the necessary mathematical background.

The book (now in its second edition) is published by Cambridge University Press. It A Computational Introduction to Number Theory and Algebra book be purchased directly from Cambridge University Press, or from online book retailers.

A COMPUTATIONAL INTRODUCTION TO NUMBER THEORY AND ALGEBRA My goal in writing this book was to provide an introduction to number theory and algebra, with an emphasis - A Computational Introduction to Number Theory and Algebra.

This book contains the proceedings of an AMS Short Course in Cryptology and Computational Number Theory, held in August during the Joint Mathematics Meetings in Boulder, Colorado. These eight papers by six of the top experts in the field will provide readers with a thorough introduction to some of the principal advances in cryptology and.

The mathematical material covered includes the basics of number theory (including unique factorization, congruences, the distribution of primes, and quadratic reciprocity) and of abstract algebra (including groups, rings, ﬁelds, and vector spaces).

It also includes. 2 PREFACE. Introduction. The first part of this book is an introduction to group begins with a study of permutation groups in chapter ically this was one of the starting points of group fact it was in the context of permutations of the roots of a polynomial that they first appeared (see).

xii Preface. or upper-division undergraduate course on (computational) number theory and algebra, perhaps geared towards computer science students. Since this is an introductory textbook, and not an encyclopedic reference for specialists, some topics simply could not be Size: 2MB.

ciﬁc areas of cryptography and coding theory. The book may be useful, for example, for reference and self study by readers who want to learn about cryptography. The book could also be used, for example, as a textbook on a course on computational number theory and algebra, geared towards.

All of the mathematics required beyond basic calculus is developed “from scratch.” Moreover, the book generally alternates between “theory” and “applications”: one or two chapters on a particular set of purely mathematical concepts are followed by one or two chapters on algorithms and applications; the mathematics provides the theoretical underpinnings for the applications, while.

n n: a. n2Q): Algebraic number theory involves using techniques from (mostly commutative) algebra and nite group theory to gain a deeper understanding of the arithmetic of number elds and related objects (e.g., functions elds, elliptic curves, etc.).

Many books on computational number theory present the theory as a sort of smorgasbord of algorithms: primality testing, factorization, discrete logarithms, modular square, and n th roots.

Shoup steers clear of this recipe approach and, instead, places the entire theory into a formal algebraic setting. A Computational Introduction to Number Theory and Algebra. Number theory and algebra play an increasingly significant role in computing and communications, as evidenced by the striking applications of these subjects to such fields as cryptography and coding theory/5.

Cambridge Core - Algorithmics, Complexity, Computer Algebra, Computational Geometry - A Computational Introduction to Number Theory and Algebra - by Victor Shoup Book summary views reflect the number of visits to the book and chapter landing pages.

Total views: *Cited by: The author writes that the book could “be used as a textbook in a graduate or upper-division undergraduate course on (computational) number theory and algebra, perhaps geared towards computer science students.”.

If you follow me on Twitter, you've probably known that I've been into "A computational introduction to number theory and algebra" aka NTB for the last two or threeNTB is the best introductory-level book on number theory and algebra, especially for those who want to study these two mathematic subjects from a computer science and cryptography : Thai Duong.

Thus the book can serve several purposes. It can be used as a reference and for self-study by readers who want to learn the mathematical foundations of modern cryptography. It is also ideal as a textbook for introductory courses in number theory and algebra, especially those geared towards computer science students.

A computational introduction to number theory and algebra. Article (PDF Available) in Mathematics of Computation 76() September with Reads How we measure 'reads'.

A Computational Introduction to Number Theory and Algebra (V. Shoup) This book introduces the basic concepts from computational number theory and algebra.

A Computational Introduction to Number Theory and Algebra Victor Shoup Number theory and algebra play an increasingly significant role in computing and communications, as evidenced by the striking applications of these subjects to such fields as cryptography and coding theory.Title: A Computational Introduction to Number Theory and Algebra Author: Victor Shoup License: CCCambridge University Press Why you should read this book?

From the book. Number theory and algebra play an increasingly significant role in computing and communications, as evidenced by the striking applications of these subjects to such fields as cryptography and coding theory.