Introduction to Algebra
2nd Edition
Published on 13. December 2007
Book
Paperback/Softback
352 pages
978-0-19-852793-0 (ISBN)
Description
Developed to meet the needs of modern students, this Second Edition of the classic algebra text by Peter Cameron covers all the abstract algebra an undergraduate student is likely to need. Starting with an introductory overview of numbers, sets and functions, matrices, polynomials, and modular arithmetic, the text then introduces the most important algebraic structures: groups, rings and fields, and their properties. This is followed by coverage of vector spaces and modules with applications to abelian groups and canonical forms before returning to the construction of the number systems, including the existence of transcendental numbers. The final chapters take the reader further into the theory of groups, rings and fields, coding theory, and Galois theory. With over 300 exercises, and web-based solutions, this is an ideal introductory text for Year 1 and 2 undergraduate students in mathematics.
Reviews / Votes
Review from previous edition This clearly written exposition is accompanied by well-chosen exercises. This book should be useful as a textbook for most undergraduates courses on algebra. * EMS Newsletter * This is an extremely engaging introduction to abstract algebra by one of this country's most prolific and creative algebraists. Recognising that although the axiomatic method is unavoidable it is intially uncomfortable for many students, he adopts a relatively informal style which is constantly encouraging without ever lapsing into imprecision. Aided by a relaxed, friendly expository style, his expertise, sureness of touch and contagious enthusiasm for algebra shine through on every page this is a book to study, savour and enjoy. Altogether this is a concise but solid introduction into algebra and linear algebra * Internationale mathematische Nachrichten * (Cameron) forms an ideal basis for first and second units in abscract algebra, for second or third-level courses in group theory, and for supporting courses in Galois theory and coding theory. The exposition is clear, the prerequisites minimal and it covers a lot of ground. * The Times Higher Education Supplement *More details
Edition
2nd Revised edition
Language
English
Place of publication
Oxford
United Kingdom
Target group
College/higher education
Edition type
Revised edition
Illustrations
10 line figures
Dimensions
Height: 233 mm
Width: 155 mm
Thickness: 19 mm
Weight
535 gr
ISBN-13
978-0-19-852793-0 (9780198527930)
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
Peter J. Cameron
Introduction to Algebra
Book
12/2007
2nd Edition
Oxford University Press
€226.30
Shipment within 15-20 days
Previous edition
Peter J. Cameron
Introduction to Algebra
Book
07/1998
Oxford University Press
€44.57
Article exhausted; check for reprint
Person
Peter Cameron has taught mathematics at Oxford University and Queen Mary, University of London, with shorter spells at other institutions. He has received the Junior Whitehead Prize of the London Mathematical Society, and the Euler Medal of the Institute of Combinatorics and its Applications, and is currently chair of the British Combinatorial Committee.
Content
1. Introduction ; 2. Rings ; 3. Groups ; 4. Vector spaces ; 5. Modules ; 6. The number systems ; 7. Further topics ; 8. Applications ; Further reading ; Index