Matrices and Tensors in Physics
John Wiley & Sons Inc (Verlag)
978-0-470-23438-9 (ISBN)
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This updated edition contains a good deal of new and relevant material including Bessel inequality, vector spaces of functions, physical laws and invariance principle, invariance in 3-D Newtonian and 4-D Minkowski spaces, fully antisymmetric tensors and their contraction. Discusses normal matrices and features a proof of the general theorem that a matrix posesses a complete set of orthonormal eigenvectors if and only if it is a normal matrix. Over 200 exercises and 100+ solved problems help students grasp the concepts presented.
MATRIX ALGEBRA.; Vector Spaces.; Basic Algebraic Operations.; Special Matrices 1.; Determinants.; Special Matrices 2.; Partitioning of Matrices.; Systems of Linear Equations--Particular Cases.; Systems of Linear Equations--General.; The Eigenvalue Problem 1.; The Eigenvalue Problem 2.; Bilinear and Quadratic Forms.; Functions of a Matrix.; Kronecker Sum and Product of Matrices.; Matrices in Classical and Quantum Mechanics.; TENSOR ANALYSIS.; Introduction.; The Algebra of Tensors.; Quotient Law.; The Fundamental Tensor.; Cartesian Tensors.; Four--Vectors in Special Relativity.; Covariant Formulation of Electrodynamics.; Tensor Calculus.; Kinematics in a Riemannian Space.; Riemann--Christoffel Curvature Tensor.; Bibliography for Parts 1 & 2.; Appendices.; Answers to Selected Exercises.; Index.
| Erscheint lt. Verlag | 13.2.1996 |
|---|---|
| Zusatzinfo | Ill. |
| Verlagsort | New York |
| Sprache | englisch |
| Maße | 159 x 244 mm |
| Gewicht | 680 g |
| Einbandart | gebunden |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
| Naturwissenschaften ► Physik / Astronomie ► Allgemeines / Lexika | |
| ISBN-10 | 0-470-23438-5 / 0470234385 |
| ISBN-13 | 978-0-470-23438-9 / 9780470234389 |
| Zustand | Neuware |
| Informationen gemäß Produktsicherheitsverordnung (GPSR) | |
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