Algebra A Graduate Course
List price: $215.95
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Description: Isaacs' love for algebra and his more than 25 years of teaching experience in mathematics is evident throughout the book. In order to draw students into the material, Isaacs offers numerous examples and exercises and he seldom teaches a definition unless it leads to some interesting or exciting theorem. A number of specialized topics are included, so professors may design a course that is compatible with their own tastes. Students using this book should have knowledge of the basic ideas of group theory, ring theory, and field theory. They should know elementary linear algebra and matrix theory and they should be comfortable with mathematical proofs (how to read them, invent them, and write them).
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All the information you need in one place! Each Study Brief is a summary of one specific subject; facts, figures, and explanations to help you learn faster.
List price: $215.95
Copyright year: 1994
Publication date: 11/15/1993
Size: 6.75" wide x 9.75" long x 1.00" tall
|Definitions and Examples of Groups|
|Subgroups and Cosets|
|The Sylow Theorems and p-groups|
|New Groups from Old|
|Solvable and Nilpotent Groups|
|Operator Groups and Unique Decompositions|
|Module Theory without Rings|
|Rings, Ideals, and Modules|
|Simple Modules and Primitive Rings|
|Artinian Rings and Projective Modules|
|An Introduction to Character Theory|
|Polynomial Rings, PIDs, and UFDs|
|Separability and Inseparability|
|Cyclotomy and Geometric Constructions|
|Roots, Radicals, and Real Numbers|
|Norms, Traces, and Discriminants|
|The Artin-Schreier Theorem|
|Algebraic Sets and the Nullstellensatz|