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Elements of Abstract Algebra
Elements of Abstract Algebra
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Foreword; IntroductionI. Set Theory 1–9. The notation and terminology of set theory 10–16. Mappings 17–19. Equivalence relations 20–25. Properties of natural numbersII. Group Theory 26–29. Definition of group structure 30–34. Examples o ..
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18269809
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Ta knjiga je v tujem jeziku: Angleščina
Lastnosti knjige
Originalni opis knjige
Foreword; IntroductionI. Set Theory 1–9. The notation and terminology of set theory 10–16. Mappings 17–19. Equivalence relations 20–25. Properties of natural numbersII. Group Theory 26–29. Definition of group structure 30–34. Examples of group structure 35–44. Subgroups and cosets 45–52. Conjugacy, normal subgroups, and quotient groups 53–59. The Sylow theorems 60–70. Group homomorphism and isomorphism 71–75. Normal and composition series 76–86. The Symmetric groupsIII. Field Theory 87–89. Definition and examples of field structure 90–95. Vector spaces, bases, and dimension 96–97. Extension fields 98–107. Polynomials 108–114. Algebraic extensions 115–121. Constructions with straightedge and compassIV. Galois Theory 122–126. Automorphisms 127–138. Galois extensions 139–149. Solvability of equations by radicalsV. Ring Theory 150–156. Definition and examples of ring structure 157–168. Ideals 169–175. Unique factorizationVI. Classical Ideal Theory 176–179. Fields of fractions 180–187. Dedekind domains 188–191. Integral extensions 192–198. Algebraic integers Bibliography; Index
Lastnosti knjige
- Jezik: Angleščina
- Založnik: Dover Publications Inc.
- Vezava: Knjiga – Brošura
- Število strani: 224
Originalni opis knjige
Foreword; IntroductionI. Set Theory 1–9. The notation and terminology of set theory 10–16. Mappings 17–19. Equivalence relations 20–25. Properties of natural numbersII. Group Theory 26–29. Definition of group structure 30–34. Examples of group structure 35–44. Subgroups and cosets 45–52. Conjugacy, normal subgroups, and quotient groups 53–59. The Sylow theorems 60–70. Group homomorphism and isomorphism 71–75. Normal and composition series 76–86. The Symmetric groupsIII. Field Theory 87–89. Definition and examples of field structure 90–95. Vector spaces, bases, and dimension 96–97. Extension fields 98–107. Polynomials 108–114. Algebraic extensions 115–121. Constructions with straightedge and compassIV. Galois Theory 122–126. Automorphisms 127–138. Galois extensions 139–149. Solvability of equations by radicalsV. Ring Theory 150–156. Definition and examples of ring structure 157–168. Ideals 169–175. Unique factorizationVI. Classical Ideal Theory 176–179. Fields of fractions 180–187. Dedekind domains 188–191. Integral extensions 192–198. Algebraic integers Bibliography; Index