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Field extensions and Galois theory /
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge [Cambridgeshire] ; New York, NY, USA :
Cambridge University Press,
©1984.
|
| Colección: | Encyclopedia of mathematics and its applications ;
v. 22. Encyclopedia of mathematics and its applications. Section, Algebra. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
| LEADER | 00000cam a2200000 a 4500 | ||
|---|---|---|---|
| 001 | EBSCO_ocn852899076 | ||
| 003 | OCoLC | ||
| 005 | 20231017213018.0 | ||
| 006 | m o d | ||
| 007 | cr cnu---unuuu | ||
| 008 | 130716s1984 enka ob 001 0 eng d | ||
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| 020 | |a 9781107266766 |q (electronic bk.) | ||
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| 072 | 7 | |a MAT |x 002040 |2 bisacsh | |
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| 084 | |a SK 230 |2 rvk | ||
| 049 | |a UAMI | ||
| 100 | 1 | |a Bastida, Julio R. | |
| 245 | 1 | 0 | |a Field extensions and Galois theory / |c Julio R. Bastida ; with a foreword by Roger Lyndon. |
| 260 | |a Cambridge [Cambridgeshire] ; |a New York, NY, USA : |b Cambridge University Press, |c ©1984. | ||
| 300 | |a 1 online resource (li, 294 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Encyclopedia of mathematics and its applications ; |v v. 22. |a Section, Algebra | |
| 504 | |a Imprint and ISBN from label on title pages verso. Imprint on t.p. : Reading, Mass.: Addison-Wesley, Advanced Book Program, 1984. | ||
| 500 | |a Publication taken over by Cambridge University Press in 1984. | ||
| 504 | |a Includes bibliographical references (pages 281-290) and index. | ||
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |a Cover; Half Title; Series Page; Title; Copyright; Dedication; Contents; Editor's Statement; Foreword; Preface; Historical Introduction; Prerequisites; Notation; NOTATION PERTAINING TO THE THEORY OF FIELD EXTENSIONS AND GALOIS THEORY; Chapter 1 Preliminaries on Fields and Polynomials; 1.1. FIELDS OF FRACTIONS; PROBLEMS; 1.2. THE CHARACTERISTIC; 1.2.1. Examples; PROBLEMS; 1.3. PERFECT FIELDS AND PRIME FIELDS; PROBLEMS; 1.4. FIELD EXTENSIONS; 1.4.1. Examples; PROBLEMS; 1.5. FACTORIZATION OF POLYNOMIALS; 1.5.10. Examples; PROBLEMS; 1.6. SPLITTING OF POLYNOMIALS; 1.6.1. Examples; 1.6.2. Examples | |
| 505 | 8 | |a 1.6.6. ExamplesPROBLEMS; 1.7. SEPARABLE POLYNOMIALS; 1.7.4. Examples; PROBLEMS; NOTES; Chapter 2 Algebraic Extensions; 2.1. ALGEBRAIC EXTENSIONS; 2.1.1. Examples; 2.1.7. Examples; PROBLEMS; 2.2. ALGEBRAICALLY CLOSED FIELDS; 2.2.8. Examples; PROBLEMS; 2.3. NORMAL EXTENSIONS; 2.3.1. Examples; 2.3.16. Examples; PROBLEMS; 2.4. PURELY INSEPARABLE EXTENSIONS; PROBLEMS; 2.5. SEPARABLE EXTENSIONS; PROBLEMS; NOTES; Chapter 3 Galois Theory; 3.1. SOME VECTOR SPACES OF MAPPINGS OF FIELDS; 3.1.4. Examples; PROBLEMS; 3.2. THE GENERAL GALOIS CORRESPONDENCES; 3.2.4. Examples; PROBLEMS; 3.3. GALOIS EXTENSIONS | |
| 505 | 8 | |a PROBLEMS3.4. FINITE GALOIS THEORY; PROBLEMS; 3.5. ROOTS OF UNITY; PROBLEMS; 3.6. PRIMITIVE ELEMENTS; PROBLEMS; 3.7. SEPARABLE AND INSEPARABLE DEGREES; PROBLEMS; 3.8. NORMS AND TRACES; 3.8.1. Examples; PROBLEMS; 3.9. CYCLIC EXTENSIONS; PROBLEMS; 3.10. SOLVABILITY BY RADICALS; PROBLEMS; 3.11. FINITE FIELDS; 3.11.4. Examples; PROBLEMS; 3.12. INFINITE GALOIS THEORY; PROBLEMS; NOTES; Suggestions for further reading; Chapter 4 Transcendental Extensions; 4.1. DIMENSIONAL OPERATORS; 4.1.1. Examples; 4.1.2. Examples; PROBLEMS; 4.2. TRANSCENDENCE BASES AND TRANSCENDENCE DEGREE; PROBLEMS | |
| 505 | 8 | |a 4.3. SPECIALIZATIONS AND PLACES OF FIELDS4.3.1. Examples; PROBLEMS; 4.4. SEPARABLE EXTENSIONS; PROBLEMS; 4.5. DERIVATIONS OF FIELDS; 4.5.1. Examples; 4.5.5. Examples; PROBLEMS; 4.6. DERIVATIONS OF ALGEBRAIC FUNCTION FIELDS; PROBLEMS; NOTES; Suggestions for further reading; References and Selected Bibliography; Bibliography; Of historical interest; Index | |
| 590 | |a eBooks on EBSCOhost |b EBSCO eBook Subscription Academic Collection - Worldwide | ||
| 650 | 0 | |a Field extensions (Mathematics) | |
| 650 | 0 | |a Galois theory. | |
| 650 | 6 | |a Extensions de corps (Mathématiques) | |
| 650 | 6 | |a Théorie de Galois. | |
| 650 | 7 | |a MATHEMATICS |x Algebra |x Intermediate. |2 bisacsh | |
| 650 | 7 | |a Field extensions (Mathematics) |2 fast |0 (OCoLC)fst00923887 | |
| 650 | 7 | |a Galois theory. |2 fast |0 (OCoLC)fst00937326 | |
| 650 | 7 | |a Galois-Theorie |2 gnd | |
| 650 | 7 | |a Körpererweiterung |2 gnd | |
| 650 | 7 | |a Galois, Théorie de. |2 ram | |
| 776 | 0 | 8 | |i Print version: |a Bastida, Julio R. |t Field extensions and Galois theory. |d Cambridge [Cambridgeshire] ; New York, NY, USA : Cambridge University Press, ©1984 |z 0521302420 |w (DLC) 85121629 |w (OCoLC)12050591 |
| 830 | 0 | |a Encyclopedia of mathematics and its applications ; |v v. 22. | |
| 830 | 0 | |a Encyclopedia of mathematics and its applications. |p Section, Algebra. | |
| 856 | 4 | 0 | |u https://ebsco.uam.elogim.com/login.aspx?direct=true&scope=site&db=nlebk&AN=589162 |z Texto completo |
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