Algorithmic Mathematics: Design and Analysis

Soicher, Leonard/ Vivaldi, Franco

ISBN 10: 1693973952 / ISBN 13: 9781693973956

Published by Independently published, 2019

About this Item

94 pages. 11.00x8.50x0.22 inches. In Stock.

Seller Inventory # zk1693973952

Bibliographic Details

• Title: Algorithmic Mathematics: Design and Analysis
• Publisher: Independently published
• Publication Date: 2019
• Language: English
• ISBN 10: 1693973952
• ISBN 13: 9781693973956
• Binding: Paperback
• Condition: Brand New
• Weight: 0.3 kilograms

About this title

Synopsis

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.Exercises are provided. They have a degree of difficulty comparable to that of examination questions. Some of the exercises consist of short essays; in this context, certain notation indicates that mathematical symbols are not permitted in the essay. Starred sections contain optional material, which is not examinable.