Algebraic Equations -- Three Muslimic Authors -- Algebra in Italy -- From Viรจte to Descartes -- The Predecessors of Galois -- Carl Friedrich Gauss -- Evariste Galois -- Camille Jordan -- Groups -- Early Group Theory -- Lie Groups and Lie Algebras -- Algebras -- The Discovery of Algebras -- The Structure of Algebras -- Group Characters -- Representations of Finite Groups and Algebras -- Representations of Lie Groups and Lie Algebras