Book:Richard Kaye/Linear Algebra

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Richard Kaye and Robert Wilson: Linear Algebra

Published $1998$, Oxford Science Publications

ISBN 0-19-850237-0.


Subject Matter


Contents

Preface
PART I MATRICES AND VECTOR SPACES
1 Matrices
2 Vector spaces


PART II BILINEAR AND SESQUILINEAR FORMS
3 Inner product spaces
4 Bilinear and sesquilinear forms
5 Orthogonal bases
6 When is a form definite?
7 Quadratic forms and Sylvester's law of inertia


PART III LINEAR TRANSFORMATIONS
8 Linear transformations
9 Polynomials
10 Eigenvalues and eigenvectors
11 The minimum polynomial
12 Diagonalization
13 Self-adjoint transformations
14 The Jordan normal form


Appendix A A Theorem of Analysis
Appendix B Applications to quantum mechanics
Index