Chapter 1. Algebraic structures
Chapter 2. Elements of linear algebra
Chapter 3. Elements of polynomial algebra
Chapter 4. Elements of group theory
Chapter 5. Vector spaces
Chapter 6. Linear operators
Chapter 7. Affine and projective spaces
Chapter 8. Tensor algebra
Chapter 9. Commutative algebra
Chapter 10. Groups
Chapter 11. Linear representations and associative algebras
Chapter 12. Lie groups

This is a comprehensive textbook on modern algebra written by an internationally renowned specialist. It covers material traditionally found in advanced undergraduate and basic graduate courses and presents it in a lucid style. The author includes almost no technically difficult proofs, and reflecting his point of view on mathematics, he tries wherever possible to replace calculations and difficult deductions with conceptual proofs and to associate geometric images to algebraic objects. The effort spent on the part of students in absorbing these ideas will pay off when they turn to solving problems outside of this textbook. --- summary provided by publisher