Wow! eBook
Advanced Linear Algebra
Author(s): Steven Roman PH.D. (Author)
- Publisher: Springer
- Publication Date: 15 Jan. 2014
- Language: English
- Print length: 386 pages
- ISBN-10: 147572179X
- ISBN-13: 9781475721799
Book Description
0 Preliminaries.- 1 Vector Spaces.- 2 Linear Transformations.- 3 The Isomorphism Theorems.- 4 Modules I.- 5 Modules II.- 6 Modules over Principal Ideal Domains.- 7 The Structure of a Linear Operator.- 8 Eigenvalues and Eigenvectors.- 9 Real and Complex Inner Product Spaces.- 10 The Spectral Theorem for Normal Operators.- 11 Metric Vector Spaces.- 12 Metric Spaces.- 13 Hilbert Spaces.- 14 Tensor Products.- 15 Affine Geometry.- 16 The Umbral Calculus.- References.- Index of Notation.
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