This book discusses structure theory of an operator, topics on inner product spaces, and trace and determinant functions of a linear operator. It addresses bilinear forms with a full treatment of symplectic spaces and orthogonal spaces, as well as explains construction of tensor, symmetric, and exterior algebras. Featuring several new exercises, the second edition adds coverage of sesquilinear forms, linear groups, matrices, normed vector spaces, orthogonal spaces over perfect fields of characteristic two, and Clifford algebras. A solutions manual is available upon qualifying course adoption.
chapter 1 | 46 pages
chapter 2 | 40 pages
chapter 3 | 18 pages
chapter 4 | 46 pages
chapter 5 | 56 pages
chapter 6 | 30 pages
chapter 7 | 34 pages
chapter 8 | 52 pages
chapter 9 | 20 pages
chapter 10 | 56 pages
chapter 11 | 62 pages
chapter 12 | 48 pages
chapter 13 | 42 pages
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