Paperback : HK$531.00
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.
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.
1: Introduction
2: Rings
3: Groups
4: Vector spaces
5: Modules
6: The number systems
7: Further topics
8: Applications
Further reading
Index
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.
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.
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
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