Preface Chapter 0 Preliminaries Part 1: Preliminaries Part 2: Algebraic Structures. Part 1 Basic Linear AIgebra Chapter 1 Vector Spaces Chapter 2 Linear Transformations Chapter 3 The Isomorphism Theorems Chapter 4 Modules Ⅰ Chapter 5 Modules Ⅱ Chapter 6 Modules over Principal Ideal Domains Chapter 7 The Structure of a Linear Operator Chapter 8 Eigenvalues and Eigenvectors Chapter 9 Real and Complex Inner Product Spaces Chapter 10 The Spectral Theorem for Normal Operators Part 2 Topics Chapter 11 Metric Vector Spaces Chapter 12 Metric Spaces Chapter 13 Hilbert Spaces Chapter 14 Tensor Products Chapter 15 Affine Geometry Chapter 16 The Umbral Calculus References Index of Notation Index |
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