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
by Bill Casselman - Cambridge University Press
The author gives an introduction to basic features of the PostScript language and shows how to use it for producing mathematical graphics. The book includes the discussion computer graphics and some comments on good style in mathematical illustration.
(14310 views)
- Wikibooks
The aim of this text is to develop an informal, light introduction to the world of fractal geometry and to inspire further research into the subject, whether your interest is of a pure, applied or even recreational nature.
(5552 views)
by Allen B. Downey - Green Tea Press
Think Stats is an introduction to Probability and Statistics for Python programmers. This new book emphasizes simple techniques you can use to explore real data sets and answer interesting statistical questions. Basic skills in Python are assumed.
(13623 views)
by Jean Gallier - Morgan Kaufmann
This book offers both a theoretically unifying understanding of polynomial curves and surfaces and an effective approach to implementation that you can bring to bear on your own work -- whether you are a graduate student, scientist, or practitioner.
(2562 views)