Abstract algebra : theory and applications / Thomas W. Judson.
Tipo de material: TextoIdioma: Inglés Fecha de copyright: Ann Arbor, MI : Orthogonal Publishing L3C, 2016Edición: 2016 editionDescripción: xiii, 417 pages : illustrations ; 25 cmISBN:- 9781944325022
- 512.02 23
- QA162 .J83 2016
Tipo de ítem | Biblioteca actual | Signatura | Copia número | Estado | Fecha de vencimiento | Código de barras | Reserva de ítems | |
---|---|---|---|---|---|---|---|---|
Colección general | Biblioteca Yachay Tech | 512.02 J932a 2016 (Navegar estantería(Abre debajo)) | Ej. 1 | Disponible | 005715 |
Includes index.
Includes bibliographical references.
1. Preliminaries -- 2. The Integers -- 3. Groups -- 4. Cyclic Groups -- 5. Permutation Groups -- 6. Cosets and Lagrange's Theorem -- 7. Introduction to Cryptography -- 8. Algebraic Coding Theory -- 9. Isomorphisms -- 10. Normal Subgroups and Factor Groups -- 11. Homomorphisms -- 12. Matrix Groups and Symmetry -- 13. The Structure of Groups -- 14. Group Actions -- 15. The Sylow Theorems -- 16. Rings -- 17. Polynomials -- 18. Integral Domains -- 19. Lattices and Boolean Algebras -- 20. Vector Spaces -- 21. Fields -- 22. Finite Fields -- 23. Galois Theory
This text is intended for a one- or two-semester undergraduate course in abstract algebra. Traditionally, these courses have covered the theoretical aspects of groups, rings, and fields. However, with the development of computing in the last several decades, applications that involve abstract algebra and discrete mathematics have become increasingly important, and many science, engineering, and computer science students are now electing to minor in mathematics. Though theory still occupies a central role in the subject of abstract algebra and no student should go through such a course without a good notion of what a proof is, the importance of applications such as coding theory and cryptography has grown significantly.
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