Introduction to algebra
著者
書誌事項
Introduction to algebra
(Oxford science publications)
Oxford University Press, 1998
- : hbk
- : pbk
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注記
Includes index
内容説明・目次
- 巻冊次
-
: pbk ISBN 9780198501947
内容説明
The 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 meet, 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, an 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 transcendental numbers exist.
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
- 巻冊次
-
: hbk ISBN 9780198501954
内容説明
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.
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
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