Elements of modern algebra (Record no. 13842)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 02621nam a2200193 a 4500 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| ISBN | 9780534373511 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| ISBN | 0534373518 |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 512 |
| Item number | GIL |
| 100 ## - MAIN ENTRY--AUTHOR NAME | |
| Personal name | Gilbert, Jimmie |
| 245 ## - TITLE STATEMENT | |
| Title | Elements of modern algebra |
| 250 ## - EDITION STATEMENT | |
| Edition statement | 5th ed. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Name of publisher | Pacific Grove, CA : |
| Place of publication | Brooks/Cole, |
| Year of publication | ©2000. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Number of Pages | xv, 394 pages : |
| Other physical details | illustrations ; |
| 505 ## - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 1. FUNDAMENTALS. Sets. Mappings. Properties of Composite Mappings (Optional). Binary Operations. Matrices. Relations. Key Words and Phrases. A Pioneer in Mathematics: Arthur Cayley. 2. THE INTEGERS. Postulates for the Integers (Optional). Mathematical Induction. Divisibility. Prime Factors and the Greatest Common Divisor. Congruence of Integers. Congruence Classes. Introduction to Coding Theory (Optional). Introduction to Cryptography (Optional). Key Words and Phrases. A Pioneer in Mathematics: Blaise Pascal. 3. GROUPS. Definition of a Group. Subgroups. Cyclic Groups. Isomorphisms. Homomorphisms. Key Words and Phrases. A Pioneer in Mathematics: Niels Henrik Abel. 4. MORE ON GROUPS. Finite Permutation Groups. Cayley's Theorem. Permutation Groups in Science and Art (Optional). Normal Subgroups. Quotient Groups. Direct Sums (Optional). Some Results on Finite Abelian Groups (Optional). Key Words and Phrases. A Pioneer in Mathematics: Augustin Louis Cauchy. 5. RINGS, INTEGRAL DOMAINS, AND FIELDS. Definition of a Ring. Integral Domains and Fields. The Field of Quotients of an Integral Domain. Ordered Integral Domains. Key Words and Phrases. A Pioneer in Mathematics: Richard Dedekind. 6. MORE ON RINGS. Ideals and Quotient Rings. Ring Homomorphisms. The Characteristic of a Ring. Maximal Ideals (Optional). Key Words and Phrases. A Pioneer in Mathematics: Amalie Emmy Noether. 7. REAL AND COMPLEX NUMBERS. The Field of Real Numbers. Complex Numbers and Quaternions. De Moivre's Theorem and Roots of Complex Numbers. Key Words and Phrases. A Pioneer in Mathematics: William Rowan Hamilton. 8. POLYNOMIALS. Polynomials over a Ring. Divisibility and Greatest Common Divisor. Factorization of F[x]. Zeros of a Polynomial. Algebraic Extensions of a Field. Key Words and Phrases. A Pioneer in Mathematics: Carl Friedrich Gauss. APPENDIX: THE BASICS OF LOGIC. ANSWERS TO SELECTED COMPUTATIONAL EXERCISES. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | The authors gradually introduce and develop the concepts of abstract algebra to help make the material more accessible. This text includes several optional sections and is designed to give instructors latitude in structuring their courses. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Algebra, Abstract. |
| 700 ## - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Gilbert, Linda |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | Reference Books |
| Collection code | Home library | Current library | Shelving location | Date acquired | Source of acquisition | Cost, normal purchase price | Full call number | Accession Number | Koha item type |
|---|---|---|---|---|---|---|---|---|---|
| Permanent Reference | Main Library | Main Library | Reference | 26/03/2004 | Purchased | 1470.00 | 512 GIL | 008756 | Reference Books |