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Introduction to mathematical physics : methods and concepts /
Mathematical physics provides physical theories with their logical basis and the tools for drawing conclusions from hypotheses. This book explains to the reader why and how mathematics is needed in the description of physical events in space. For undergraduates in physics, it is a classroom-tested t...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Oxford :
Oxford University Press,
2013.
|
| Edición: | 2nd ed. |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- ""Cover""; ""Contents""; ""1 Vectors and fields in space""; ""1.1 Concepts of space""; ""1.2 Vectors in space""; ""1.3 Permutation symbols""; ""1.4 Vector differentiation of a scalar field""; ""1.5 Vector differentiation of a vector field""; ""1.6 Path-dependent scalar and vector integrations""; ""1.7 Flux, divergence and Gauss�s theorem""; ""1.8 Circulation, curl and Stokes�s theorem""; ""1.9 Helmholtz�s theorem""; ""1.10 Orthogonal curvilinear coordinate systems""; ""1.11 Vector differential operators in orthogonal curvilinear coordinate systems""
- ""Appendix 1 Tables of mathematical formulas""""2 Transformations, matrices and operators""; ""2.1 Transformations and the laws of physics""; ""2.2 Rotations in space: Matrices""; ""2.3 Determinant and matrix inversion""; ""2.4 Homogeneous equations""; ""2.5 The matrix eigenvalue problem""; ""2.6 Generalized matrix eigenvalue problems""; ""2.7 Eigenvalues and eigenvectors of Hermitian matrices""; ""2.8 The wave equation""; ""2.9 Displacement in time and translation in space: Infinitesimal generators""; ""2.10 Rotation operators""; ""2.11 Matrix groups""
- ""Appendix 2 Tables of mathematical formulas""""3 Relativistic square-root spaces[sup(*)]""; ""3.1 Introduction""; ""3.2 Special relativity and Lorentz transformations""; ""3.3 Relativistic kinematics and the mass�energy equivalence""; ""3.4 Quaternions""; ""3.5 Dirac equation, spinors and matrices""; ""3.6 Symmetries of the Dirac equation[sup(*)]""; ""3.7 Weyl and Majorana spinors, symmetry violations[sup(*)]""; ""3.8 Lorentz group""; ""3.9 Cartan spinors and spin transformations in square-root space""; ""3.10 Dyadics""; ""3.11 Cartesian tensors""; ""3.12 Tensor analysis""
- ""4.11 Mean-square error and mean-square convergence""""4.12 Convergence of Fourier series""; ""4.13 Maxwell equations in Fourier spaces""; ""4.14 3D Fourier transforms: Helmholtz decomposition theorem""; ""Appendix 4A: Short table of Fourier cosine series""; ""Appendix 4B: Short table of Fourier sine series""; ""Appendix 4C: Short table of Fourier transforms""; ""Appendix 4D: Short table of 3D and 4D Fourier transforms""; ""Appendix 4E: Tables of mathematical formulas""; ""5 Differential equations in physics""; ""5.1 Introduction""; ""5.2 Linear differential equations""