Elements of abstract algebra [Set Theory (Mappings, equivalence relations, properties of natural numbers) -- Group theory (Definition of group structure, Subgroups and cosets, Conjugacy, normal subgroups, quotient groups, The Sylow Theorems, Group homomorphism and isomorphism, normal and composition series, The symmetric groups) -- Field theory (Definition and examples of field structure, Vector spaces, bases, dimension, extension fields, polynomials, Algebraic extensions, constructions with straightedge and compass) -- Galois theory (Automorphisms, Galois extensions, Solvability of equations by radicals) -- Ring theory (Definitions and examples of ring structure, Ideals, Unique factorization) -- Classical Ideal theory (Fields of fractions]

Clark, Allan, 1935-

ISBN 10: 0486647250 / ISBN 13: 9780486647258

Verlag: New York : Dover Publications, 1984, 1984

Beschreibung

xvii, 205 p. : ill. ; 22 cm. ; ISBN: 0486647250 (pbk.) :; 9780486647258 (pbk.); LCCN: 84-6118 ; paper wrappers ; Originally published: Belmont, Calif. : Wadsworth, c1971; OCLC: 10697311 ; Contents: Set Theory (Mappings, equivalence relations, properties of natural numbers) -- Group theory (Definition of group structure, Subgroups and cosets, Conjugacy, normal subgroups, quotient groups, The Sylow Theorems, Group homomorphism and isomorphism, normal and composition series, The symmetric groups) -- Field theory (Definition and examples of field structure, Vector spaces, bases, dimension, extension fields, polynomials, Algebraic extensions, constructions with straightedge and compass) -- Galois theory (Automorphisms, Galois extensions, Solvability of equations by radicals) -- Ring theory (Definitions and examples of ring structure, Ideals, Unique factorization) -- Classical Ideal theory (Fields of fractions, Dedekind domains, Integral extensions, algebraic integers). ; some highlighting, else G.

Bestandsnummer des Verkäufers 005592

Bibliografische Details

• Titel: Elements of abstract algebra [Set Theory (Mappings, equivalence relations, properties of natural numbers) -- Group theory (Definition of group structure, Subgroups and cosets, Conjugacy, normal subgroups, quotient groups, The Sylow Theorems, Group homomorphism and isomorphism, normal and composition series, The symmetric groups) -- Field theory (Definition and examples of field structure, Vector spaces, bases, dimension, extension fields, polynomials, Algebraic extensions, constructions with ...
• Verlag: New York : Dover Publications, 1984
• Erscheinungsjahr: 1984
• Sprache: Englisch
• ISBN-10: 0486647250
• ISBN-13: 9780486647258
• Einband: Soft cover
• Auflage: 3. Auflage
• Zustand: Good
• Buchtyp: Book
• Verkäuferkataloge:
  • Catalog 78 - Sciences

Über diesen Titel

Inhaltsangabe

Helpful illustrations and exercises included throughout this lucid coverage of group theory, Galois theory and classical ideal theory stressing proof of important theorems. Includes many historical notes. Mathematical proof is emphasized. Includes 24 tables and figures. Reprint of the 1971 edition.