TY - BOOK AU - Pollatsek, Harriet AU - Pollatsek, Harriet TI - Lie Groups : : a problem-oriented introduction via matrix groups T2 - MAA textbooks SN - 9789393330185 U1 - 512.482 POL PY - 2009/// CY - Washington PB - : Mathematical Association of America, KW - Mathematics KW - Algebra KW - Lie groups KW - Lie groups -- Problems, exercises, KW - Matrix groups KW - Mathematics -- Algebra -- Intermediate KW - Lie-Gruppe N1 - 1. Symmetries of vector spaces -- 2. Complex numbers, quaternions and geometry -- 3. Linearization -- 4. One-parameter subgroups and the exponential map -- 5. Lie algebras -- 6. Matrix groups over other fields N2 - This textbook is a complete introduction to Lie groups for undergraduate students. The only prerequisites are multi-variable calculus and linear algebra. It works on the principle that students learn best when they are actively engaged. To this end nearly 200 problems are contained in the text ER -