Introduction to Algebra - Hardcover

Cameron, Peter J.

Hardcover

ISBN 10: 0198501951 ISBN 13: 9780198501954

Publisher: OUP Oxford, 1998

Synopsis

This book is an undergraduate textbook on abstract algebra, beginning with the theories of rings and groups. As this is the first really abstract material students need, the pace here is gentle, and the basic concepts of subring, homomorphism, ideal, etc are developed in detail. Later, as students gain confidence with abstractions, they are led to further developments in group and ring theory (simple groups and extensions, Noetherian rings, and outline of universal algebra, lattices and categories) and to applications such as Galois theory and coding theory. There is also a chapter outlining the construction of the number systems from scratch and proving in three different ways that trascendental numbers exist.

About this title

Review

Review from previous editionThis clearly written exposition is accompanied by well-chosen exercises. This book should be useful as a textbook for most undergraduates courses on algebra.

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

About the Author

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.

Edition details

• Publisher: OUP Oxford
• Publication date: 1998
• ISBN 10: 0198501951
• ISBN 13: 9780198501954
• Binding: Hardcover
• Language: English
• Number of pages: 308