Groups and Symmetries: From Finite Groups to Lie Groups, 2nd Edition

Mathematics Subject Classification: • 01-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to history and biography • 20-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to group theory • 20-G05 Representation theory for linear algebraic groups • 20G45 Applications of linear algebraic groups to the sciences • 17B45 Lie algebras of linear algebraic groups • 33C55 Spherical harmonics

• Combines material from many areas of mathematics, including algebra, geometry, and analysis, so students see connections between these areas

• Applies material to physics so students appreciate the applications of abstract mathematics

• Assumes only linear algebra and calculus, making an advanced subject accessible to undergraduates

• Includes 142 exercises, many with hints or complete solutions, so text may be used in the classroom or for self study