Abstract algebra

International edition

David S. Dummit, Richard M. Foote

944 pages, parution le 13/10/2003 (3^eme édition)

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Résumé

This revision of Dummit and Foote's widely acclaimed introduction to abstract algebra helps students experience the power and beauty that develops from the rich interplay between different areas of mathematics.

The book carefully develops the theory of different algebraic structures, beginning from basic definitions to some in-depth results, using numerous examples and exercises to aid the student's understanding. With this approach, students gain an appreciation for how mathematical structures and their interplay lead to powerful results and insights in a number of different settings.

The text is designed for a full-year introduction to abstract algebra at the advanced undergraduate or graduate level, but contains substantially more material than would normally be covered in one year. Portions of the book may also be used for various one-semester topics courses in advanced algebra, each of which would provide a solid background for a follow-up course delving more deeply into one of many possible areas: algebraic number theory, algebraic topology, algebraic geometry, representation theory, Lie groups, etc.

Group theory
- Introduction to Groups
- Subgroups
- Quotient Groups and Homomorphisms
- Group Actions
- Direct and Semidirect Products and Abelian Groups
- Further Topics in Group Theory
Ring theory
- Introduction to Rings
- Euclidean Domains, Principal Ideal Domains and Unique Factorization Domains
- Polynomial Rings
Modules and vector spaces
- Introduction to Module Theory
- Vector Spaces
- Modules over Principal Ideal Domains
Field Theory and Galois Theory
- Field Theory
- Galois Theory
An introduction to commutative rings, algabraic geometry, and homological algebra
- Commutative Rings and Algebraic Geometry
- Artinian Rings, Discrete Valuation Rings, and Dedekind Domains
- Introduction to Homological Algebra and Group Cohomology
Introduction To The Representation Theory of Finite Groups
- Representation Theory and Character Theory
- Examples and Applications of Character Theory
Appendices
Index

Caractéristiques techniques

	PAPIER
Éditeur(s)	Wiley
Auteur(s)	David S. Dummit, Richard M. Foote
Parution	13/10/2003
Édition	3^eme édition
Nb. de pages	944
Format	19,5 x 24
Couverture	Relié
Poids	1640g
Intérieur	Noir et Blanc
EAN13	9780471452348
ISBN13	978-0-471-45234-8