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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 |
MARC
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| 100 | 1 | |a Wong, Chun Wa, |d 1938- |e author. | |
| 245 | 1 | 0 | |a Introduction to mathematical physics : |b methods and concepts / |c Chun Wa Wong. |
| 250 | |a 2nd ed. | ||
| 260 | |a Oxford : |b Oxford University Press, |c 2013. | ||
| 300 | |a 1 online resource (xii, 716 pages) : |b portraits | ||
| 336 | |a text |b txt |2 rdacontent | ||
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| 504 | |a Includes bibliographical references and indexes. | ||
| 588 | 0 | |a Print version record. | |
| 520 | |a 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 textbook on vector analysis, linear operators, Fourier series and integrals, differential equations, special functions and functions of a complex variable. Strongly correlated with core undergraduate courses on classical and quantum mechanics and electromagnetism, it helps the student master these necessary mathematical skills. It contains advanced topics of interest to graduate students on relativistic square-root spaces and nonlinear systems. It contains many tables of mathematical formulas and references to useful materials on the Internet. It includes short tutorials on basic mathematical topics to help readers refresh their mathematical knowledge. An appendix on Mathematics encourages the reader to use computer-aided algebra to solve problems in mathematical physics. | ||
| 505 | 0 | |a ""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"" | |
| 505 | 8 | |a ""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"" | |
| 505 | 8 | |a ""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"" | |
| 505 | 8 | |6 880-01 |a ""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"" | |
| 590 | |a eBooks on EBSCOhost |b EBSCO eBook Subscription Academic Collection - Worldwide | ||
| 650 | 0 | |a Mathematical physics. | |
| 650 | 6 | |a Physique mathématique. | |
| 650 | 7 | |a SCIENCE |x Physics |x Mathematical & Computational. |2 bisacsh | |
| 650 | 7 | |a Mathematical physics. |2 fast |0 (OCoLC)fst01012104 | |
| 776 | 0 | 8 | |i Print version: |a Wong, Chun Wa, 1938- |t Introduction to mathematical physics. |b Second edition. |d Oxford, United Kingdom : Oxford University Press, 2013 |z 9780199641390 |w (DLC) 2012554055 |w (OCoLC)835077956 |
| 856 | 4 | 0 | |u https://ebsco.uam.elogim.com/login.aspx?direct=true&scope=site&db=nlebk&AN=529303 |z Texto completo |
| 880 | 8 | |6 505-01/(S |a ""Appendix 3 Tables of mathematical formulas""""4 Fourier series and Fourier transforms""; ""4.1 Waveâ€?particle duality: Quantum mechanics""; ""4.2 Fourier series""; ""4.3 Fourier coeffcients and Fourier-series representation""; ""4.4 Complex Fourier series and the Dirac Δ function""; ""4.5 Fourier transform""; ""4.6 Green function and convolution""; ""4.7 Heisenbergâ€?s uncertainty principle""; ""4.8 Conjugate variables and operators in wave mechanics""; ""4.9 Generalized Fourier series and Legendre polynomials""; ""4.10 Orthogonal functions and orthogonal polynomials"" | |
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