Introduction to algebra
著者
書誌事項
Introduction to algebra
（Oxford mathematics）
Oxford University Press, 2008
2nd ed
- : [cased]
- : pbk.
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注記
Previous ed: 1998
Includes index
内容説明・目次
内容説明
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.
目次
- 1. Introduction
- 2. Rings
- 3. Groups
- 4. Vector spaces
- 5. Modules
- 6. The number systems
- 7. Further topics
- 8. Applications
- Further reading
- Index
「Nielsen BookData」 より