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Index
Cover Contents The Wiley Bicentennial-Knowledge for Generations Title Page Copyright Preface Preface to the First Edition Chapter 1: Fundamentals Chapter 2: Duality Chapter 3: Linear Mappings Chapter 4: Matrices Chapter 5: Determinant and Trace Chapter 6: Spectral Theory Chapter 7: Euclidean Structure Chapter 8: Spectral Theory of Self-Adjoint Mappings Chapter 9: Calculus of Vector- and Matrix-Valued Functions Chapter 10: Matrix Inequalities Chapter 11: Kinematics and Dynamics Chapter 12: Convexity Chapter 13: The Duality Theorem Chapter 14: Normed Linear Spaces Chapter 15: Linear Mappings Between Normed Linear Spaces Chapter 16: Positive Matrices Chapter 17: How to Solve Systems of Linear Equations Chapter 18: How to Calculate the Eigenvalues of Self-Adjoint Matrices Solutions of Selected Exercises Bibliography Appendix 1: Special Determinants Appendix 2: The Pfaffian Appendix 3: Symplectic Matrices Appendix 4: Tensor Product Appendix 5: Lattices Appendix 6: Fast Matrix Multiplication Appendix 7: Gershgorin’s Theorem Appendix 8: The Multiplicity of Eigenvalues Appendix 9: The Fast Fourier Transform Appendix 10: The Spectral Radius Appendix 11: The Lorentz Group Appendix 12: Compactness of the Unit Ball Appendix 13: A Characterization of Commutators Appendix 14: Liapunov’s Theorem Appendix 15: The Jordan Canonical Form Appendix 16: Numerical Range Index
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