Logo

Algorithmic Mathematics by Leonard Soicher, Franco Vivaldi

Algorithmic Mathematics
by

Publisher: Queen Mary University of London
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.

Home page url

Download or read it online for free here:
Download link
(0.5MB, PDF)

Similar books

Book cover: An Architecture for Combinator Graph ReductionAn Architecture for Combinator Graph Reduction
by - Academic Press
The results of cache-simulation experiments with an abstract machine for reducing combinator graphs are presented. The abstract machine, called TIGRE, exhibits reduction rates that compare favorably with previously reported techniques.
(8663 views)
Book cover: Art Gallery Theorems and AlgorithmsArt Gallery Theorems and Algorithms
by - Oxford University Press
Art gallery theorems and algorithms are so called because they relate to problems involving the visibility of geometrical shapes and their internal surfaces. This book explores generalizations and specializations in these areas.
(12185 views)
Book cover: Numerical Algorithms: Methods for Computer Vision, Machine Learning, and GraphicsNumerical Algorithms: Methods for Computer Vision, Machine Learning, and Graphics
by - CRC Press
Using examples from a broad base of computational tasks, including data processing and computational photography, the book introduces numerical modeling and algorithmic design from a practical standpoint and provides insight into theoretical tools.
(3437 views)
Book cover: Curves and Surfaces in Geometric Modeling: Theory and AlgorithmsCurves and Surfaces in Geometric Modeling: Theory and Algorithms
by - 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.
(1895 views)