Algorithmic Mathematics
by Leonard Soicher, Franco Vivaldi
Publisher: Queen Mary University of London 2004
Number of pages: 94
Description:
This text contains sufficient material for a one-semester course in mathematical algorithms, for second year mathematics students. The course requires some exposure to the basic concepts of discrete mathematics, but no computing experience. The aim of this course is twofold. Firstly, to introduce the basic algorithms for computing exactly with integers, polynomials and vector spaces. In doing so, the student is expected to learn how to think algorithmically and how to design and analyze algorithms. Secondly, to provide a constructive approach to abstract mathematics, algebra in particular. When introducing the elements of ring and field theory, algorithms offer concrete tools, constructive proofs, and a crisp environment where the benefits of rigour and abstraction become tangible. We shall write algorithms in a straightforward language, which incorporates freely standard mathematical notation. The specialized constructs are limited to the if-structure and the while-loop, which are universal.
Download or read it online for free here:
Download link
(0.5MB, PDF)
Similar books
Mathematics for Algorithm and Systems Analysisby 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.
(32647 views)
Vector Math for 3D Computer Graphicsby Bradley Kjell - Central Connecticut State University
A text on vector and matrix algebra from the viewpoint of computer graphics. It covers most vector and matrix topics needed for college-level computer graphics text books. Useful to computer science students interested in game programming.
(23624 views)
The Life of Pi: From Archimedes to Eniac and Beyondby Jonathan M. Borwein - DocServer
The desire to understand Pi, the challenge, and originally the need, to calculate ever more accurate values of Pi, has challenged mathematicians for many many centuries, and Pi has provided compelling examples of computational mathematics.
(21383 views)
Implementing Mathematics with The Nuprl Proof Development Systemby R. L. Constable, at al. - Prentice Hall
The authors offer a tutorial on the new mathematical ideas which underlie their research. Many of the ideas in this book will be accessible to a well-trained undergraduate with a good background in mathematics and computer science.
(18218 views)