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Algebra, Second Edition, by Michael Artin, provides comprehensive coverage at the level of an honors-undergraduate or introductory-graduate course. The second edition of this classic text incorporates twenty years of feedback plus the author’s own teaching experience. This book discusses concrete topics of algebra in greater detail than others, preparing readers for the more abstract concepts linear algebra is tightly integrated throughout.
Matrices
Groups
Vector Spaces
Linear Operators
Applications of Linear Operators
Symmetry
More Group Theory
Bilinear Forms
Linear Groups
Group Representations
Rings
Factoring
Quadratic Number Fields
Linear Algebra in a Ring
Fields