TY - BOOK AU - E. B. Vinberg TI - A course in algebra T2 - Graduate Studies in Mathematics SN - 9780821848586 AV - QA154.3 PY - 2003///] CY - Rhode, Island PB - American Mathematical Society KW - Mathematics N1 - 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 N2 - 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 ER -