A Course in Abstract Algebra (LPSPE)

• A full section on operators in inner product spaces.
• Complete survey of finite groups of order up to 15 and Wedderburn theorem on finite division rings.
• Addition of around one hundred new worked-out problems and examples.
• Alternate and simpler proofs of some results.
• A new section on quick recall of various useful results at the end of the book to facilitate the reader to get instant answers to tricky questions.

• Preliminaries
• Groups
• Normal Subgroups, Homomorphisms, Permutation Groups
• Automorphisms and Conjugate Elements
• Sylow Theorems and Direct Products
• Group Actions, Solvable and Nilpotent Groups
• Rings
• Homomorphisms and Embedding of Rings
• Euclidean and Factorization Domains
• Vector Spaces
• Linear Transformations
• Eigen Values and Eigen Vectors
• Inner Product Spaces
• Fields
• More on Fields