Modern higher algebra
著者
書誌事項
Modern higher algebra
Cambridge University Press, 2015
- : pbk
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注記
Originally published in 1938
"Paperback reissue"--Back cover
Includes index
内容説明・目次
内容説明
Abraham Adrian Albert (1905-72) was an American mathematician primarily known for his groundbreaking work on algebra. In this book, which was originally published in 1938, Albert provides a detailed exposition of 'modern abstract algebra', taking into account numerous discoveries in the field during the preceding ten years. A glossary is included. This is a highly informative book that will be of value to anyone with an interest in the development of algebra and the history of mathematics.
目次
- Preface
- 1. Groups and rings
- 2. Rings with a unity element
- 3. Matrices
- 4. Similarity of square matrices
- 5. Symmetric and skew matrices
- 6. Finite groups
- 7. Fields over F
- 8. The Galois theory
- 9. Cyclic fields
- 10. Algebras of matrices
- 11. Introduction to the transcendental theory of fields
- 12. Valuation functions
- Glossary
- Index.
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