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: Isabelle/HOL: A Proof Assistant for Higher-Order LogicIsabelle/HOL: A Proof Assistant for Higher-Order Logic
by - Springer
This book is a self-contained introduction to interactive proof in higher-order logic, using the proof assistant Isabelle. It is a tutorial for potential users. The book has three parts: Elementary Techniques; Logic and Sets; Advanced Material.
(12056 views)
Book cover: Probabilistic Programming and Bayesian Methods for HackersProbabilistic Programming and Bayesian Methods for Hackers
by - GitHub, Inc.
This book is designed as an introduction to Bayesian inference from a computational understanding-first, and mathematics-second, point of view. The book assumes no prior knowledge of Bayesian inference nor probabilistic programming.
(17632 views)
Book cover: Implementing Mathematics with The Nuprl Proof Development SystemImplementing Mathematics with The Nuprl Proof Development System
by - 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.
(12584 views)
Book cover: A Computational Introduction to Number Theory and AlgebraA Computational Introduction to Number Theory and Algebra
by - Cambridge University Press
This introductory book emphasises algorithms and applications, such as cryptography and error correcting codes. It is accessible to a broad audience. Prerequisites are a typical undergraduate course in calculus and some experience in doing proofs.
(34998 views)