The Resource Field extensions and Galois theory, Julio R. Bastida ; with a foreword by Roger Lyndon, (electronic resource)

Field extensions and Galois theory, Julio R. Bastida ; with a foreword by Roger Lyndon, (electronic resource)

Label
Field extensions and Galois theory
Title
Field extensions and Galois theory
Statement of responsibility
Julio R. Bastida ; with a foreword by Roger Lyndon
Creator
Subject
Genre
Language
  • eng
  • eng
Summary
This 1984 book makes the general theory of field extensions accessible to any reader with a modest background in groups, rings and vector spaces
Member of
Cataloging source
MiAaPQ
http://library.link/vocab/creatorName
Bastida, Julio R
Dewey number
  • 512.32
  • 512/.32
Illustrations
illustrations
Index
index present
Language note
English
LC call number
QA247
LC item number
.B37 1984
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
Series statement
  • Encyclopedia of mathematics and its applications.
  • Encyclopedia of Mathematics and its Applications
Series volume
  • v. 22
  • v.22
http://library.link/vocab/subjectName
  • Field extensions (Mathematics)
  • Galois theory
Label
Field extensions and Galois theory, Julio R. Bastida ; with a foreword by Roger Lyndon, (electronic resource)
Instantiates
Publication
Note
  • Imprint and ISBN from label on t.p. verso. Imprint on t.p.: Reading, Mass. : Addison-Wesley, Advanced Book Program, 1984
  • Publication taken over by Cambridge University Press in 1984
  • Includes index
Bibliography note
Bibliography: p. 281-290
Carrier category
online resource
Carrier category code
  • cr
Content category
text
Content type code
  • txt
Contents
  • 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
  • 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
  • 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
  • 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
Dimensions
unknown
Extent
1 online resource (352 p.)
Form of item
online
Isbn
9781107340749
Media category
computer
Media type code
  • c
Specific material designation
remote
System control number
  • (CKB)2670000000361543
  • (EBL)1218101
  • (SSID)ssj0000890229
  • (PQKBManifestationID)11448730
  • (PQKBTitleCode)TC0000890229
  • (PQKBWorkID)10883193
  • (PQKB)11066911
  • (UkCbUP)CR9781107340749
  • (MiAaPQ)EBC1218101
  • (EXLCZ)992670000000361543
Label
Field extensions and Galois theory, Julio R. Bastida ; with a foreword by Roger Lyndon, (electronic resource)
Publication
Note
  • Imprint and ISBN from label on t.p. verso. Imprint on t.p.: Reading, Mass. : Addison-Wesley, Advanced Book Program, 1984
  • Publication taken over by Cambridge University Press in 1984
  • Includes index
Bibliography note
Bibliography: p. 281-290
Carrier category
online resource
Carrier category code
  • cr
Content category
text
Content type code
  • txt
Contents
  • 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
  • 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
  • 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
  • 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
Dimensions
unknown
Extent
1 online resource (352 p.)
Form of item
online
Isbn
9781107340749
Media category
computer
Media type code
  • c
Specific material designation
remote
System control number
  • (CKB)2670000000361543
  • (EBL)1218101
  • (SSID)ssj0000890229
  • (PQKBManifestationID)11448730
  • (PQKBTitleCode)TC0000890229
  • (PQKBWorkID)10883193
  • (PQKB)11066911
  • (UkCbUP)CR9781107340749
  • (MiAaPQ)EBC1218101
  • (EXLCZ)992670000000361543

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