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商品詳細
Introduction to Modern Algebra and Its Applications.
・ISBN 978-0-367-82091-6 2020 hard GB£ 210.00
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電子版あり 大学・学術機関向け電子ブック（eBook）ISBN 978-1-003-01548-2
| 著者・編者 | Gubareni, Nadiya, |
|---|---|
| 出版社 | (CRC Press, UK) |
| ページ数 | 384 pp. |
| 言語 | ENG |
| ニュース番号 | ＜M25-7788＞ |
解説
The book provides an introduction to modern abstract algebra and its applications. It covers all major topics of classical theory of numbers, groups, rings, fields and finite dimensional algebras. The book also provides interesting and important modern applications in such subjects as Cryptography, Coding Theory, Computer Science and Physics. In particular, it considers algorithm RSA, secret sharing algorithms, Diffie-Hellman Scheme and ElGamal cryptosystem based on discrete logarithm problem. It also presents Buchberger's algorithm which is one of the important algorithms for constructing Groebner basis.
Key Features:
- Covers all major topics of classical theory of modern abstract algebra such as groups, rings and fields and their applications. In addition it provides the introduction to the number theory, theory of finite fields, finite dimensional algebras and their applications.
- Provides interesting and important modern applications in such subjects as Cryptography, Coding Theory, Computer Science and Physics.
- Presents numerous examples illustrating the theory and applications. It is also filled with a number of exercises of various difficulty.
- Describes in detail the construction of the Cayley-Dickson construction for finite dimensional algebras, in particular, algebras of quaternions and octonions and gives their applications in the number theory and computer graphics.