| Description |
1 online resource (775 pages) |
| Series |
Chapman & Hall/CRC Pure and Applied Mathematics ; v. Vol. 263 |
|
Chapman & Hall/CRC Pure and Applied Mathematics
|
| Contents |
Cover; Half Title; Title Page; Copyright Page; Dedication; Contents; Preface; General Mathematical Concepts; Introduction; 1. Sets; 2. Maps; 3. Cartesian Product and Binary Relations; 4. Posets, Lattices, Zorn's Lemma; 5. Peano's Axioms; 6. Cardinality; 7. Quotient Sets; Algebraic Structures; 8. Groupoids, Semigroups, Monoids; 9. Groups; 10. The Integers; 11. Congruences; 12. Normal Subgroups; 13. Isomorphism Theorems for Groups; 14. Cyclic Groups; 15. Direct Product of Groups; 16. The Symmetric Group; 17. Further Results on Groups; 18. Rings, Ideals and Homomorphisms; 19. Quotient Rings |
|
20. Direct Product of Rings21. Domains, Prime and Maximal Ideals; 22. Polynomials; 23. U.F.D., P.I.D. and Euclidean Domains; 24. The Quotient Field of a Domain; 25. Factoriality of Rings of Polynomials; 26. Modules and Vector Spaces; 27. Field Extensions; 28. Galois Extensions; 29. Finite Fields; 30. The Galois Theory of Equations; 31. Ruler and Compass Constructions; 32. Secrets in Finite Fields: Codes; 33. Ordered Rings. the Real Numbers; 34. Representation of Finite Groups; 35. Some Historical Remarks; Suggestions for Further Reading |
| Notes |
Print version record |
| Form |
Electronic book
|
| Author |
Van Oystaeyen, Freddy
|
| ISBN |
9781482258172 |
|
148225817X |
|
