Classic Algebra

Fundamental to all areas of mathematics, algebra provides the cornerstone for the student's development. The concepts are often intuitive, but some can take years of study to fully absorb. For over twenty years, the author's classic three-volume set, Algebra, has been regarded by many as the most outstanding introductory work available. This work, Classic Algebra, combines a fully updated Volume 1 with the essential topics from Volumes 2 and 3, and provides a self-contained introduction to the subject.

Sets and Mappings. Integers and Rational Numbers. Groups. Vector Spaces and Linear Mappings. Linear Equations. Rings and Fields. Determinants. Quadratic Forms. Further Group Theory. Rings and Modules. Normal Forms for Matrices. Appendices. Solutions to the Exercises. Further Reading. Some Frequently Used Notations. Index.