Abstract Algebra with Applications
Published on 6. December 2018
978-1-316-73053-9 (ISBN)
Description
Abstract Algebra with Applications provides a friendly and concise introduction to algebra, with an emphasis on its uses in the modern world. The first part of this book covers groups, after some preliminaries on sets, functions, relations, and induction, and features applications such as public-key cryptography, Sudoku, the finite Fourier transform, and symmetry in chemistry and physics. The second part of this book covers rings and fields, and features applications such as random number generators, error correcting codes, the Google page rank algorithm, communication networks, and elliptic curve cryptography. The book's masterful use of colorful figures and images helps illustrate the applications and concepts in the text. Real-world examples and exercises will help students contextualize the information. Intended for a year-long undergraduate course in algebra for mathematics, engineering, and computer science majors, the only prerequisites are calculus and a bit of courage when asked to do a short proof.
Reviews / Votes
'Perhaps no other subject of undergraduate mathematics is as challenging to learn (and to teach) as abstract algebra. The high level of abstraction, the sophistication of the logic and the vocabulary, and the deep understanding of mathematical structures required all pose difficulties for the student. Professor Terras has addressed these issues by writing a textbook which, while uncompromising in its rigor and breadth, is also entertaining and full of insights, useful visualizations and historical asides. Many of the applications of modern algebra are explained in a thoughtful way that will help motivate students to study abstract concepts. Recommended as a textbook for the first semester of abstract algebra.' Jenia Tevelev, University of Massachusetts, AmherstMore details
Series
Language
English
Place of publication
Cambridge
United Kingdom
Publishing group
Cambridge University Press
Target group
College/higher education
Illustrations
100 Halftones, color; 104 Halftones, black and white
File size
56,90 MB
ISBN-13
978-1-316-73053-9 (9781316730539)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions
Audrey Terras
Abstract Algebra with Applications
Book
12/2018
Cambridge University Press
€100.30
Shipment within 15-20 days
Person
Content
Part I. Groups: 1. Preliminaries; 2. Groups: a beginning; 3. Groups: there's more; 4. Applications and more examples of groups; Part II. Rings: 5. Rings: a beginning; 6. Rings: there's more; 7. Vector spaces and finite fields; 8. Applications of rings; Part III. Solutions to Some Problems: 9. Solution sketches for mostly odd-numbered exercises.
