A Computational Introduction to Number Theory and Algebra
by Victor Shoup
Publisher: Cambridge University Press 2005
ISBN/ASIN: 0521851548
ISBN-13: 9780521851541
Number of pages: 534
Description:
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. This introductory book emphasises algorithms and applications, such as cryptography and error correcting codes, and is accessible to a broad audience. The mathematical prerequisites are minimal: nothing beyond material in a typical undergraduate course in calculus is presumed, other than some experience in doing proofs - everything else is developed from scratch.
Download or read it online for free here:
Download link
(3.5MB, PDF)
Similar books
![Book cover: Computer Algebra, Algorithms, Systems and Applications](images/4918.jpg)
by Richard Liska, at al. - Czech Technical University
From the table of contents: Introduction; Algorithms for algebraic computation; Integrated mathematical systems; Basic possibilities of integrated mathematical systems; Applications of computer algebra; Another sources of study.
(18258 views)
![Book cover: Mathematics for Algorithm and Systems Analysis](images/1738.jpg)
by Edward A. Bender, S. Gill Williamson - Dover Publications
This text assists undergraduates in mastering the mathematical language to address problems in the field's many applications. It consists of 4 units: counting and listing, functions, decision trees and recursion, and basic concepts of graph theory.
(31768 views)
![Book cover: Algorithmic Algebra](images/4775.jpg)
by Bhubaneswar Mishra - Courant Institute of Mathematical Sciences
The main purpose of the book is to acquaint advanced undergraduate and graduate students in computer science, engineering and mathematics with the algorithmic ideas in computer algebra so that they could do research in computational algebra.
(23122 views)
![Book cover: Axiom: The Scientific Computation System](images/2295.jpg)
by Richard D. Jenks, Robert S. Sutor - axiom-developer.org
Axiom is a free general purpose computer algebra system. The book gives a technical introduction to AXIOM, interacts with the system's tutorial, accesses algorithms developed by the symbolic computation community, and presents advanced techniques.
(23368 views)