Higher Mathematics for Physics and Engineering : Mathematical Methods for Contemporary Physics
Due to the rapid expansion of the frontiers of physics and engineering, the demand for higher-level mathematics is increasing yearly. This book is designed to provide accessible knowledge of higher-level mathematics demanded in contemporary physics and engineering. Rigorous mathematical structures o...
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| Auteurs principaux: | , |
|---|---|
| Formato: | Livre numérique |
| Idioma: | Anglais |
| Publicado em: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
2010.
Cham : Springer Nature |
| Acesso em linha: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nota: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Higher mathematics for physics and engineering, Hiroyuki Shima, Tsuneyoshi Nakayama, Berlin, Springer, 2010, 1 vol. (XXI-688 p.), 978-3-540-87863-6 • Higher Mathematics for Physics and Engineering, Texte imprimé, 9783540879336 • Higher Mathematics for Physics and Engineering, Texte imprimé, 9783642425912 |
Sumário:
- Preliminaries
- I Real Analysis
- Real Sequences and Series
- Real Functions
- II Functional Analysis
- Hilbert Spaces
- Orthonormal Polynomials
- Lebesgue Integrals
- III Complex Analysis
- Complex Functions
- Singularity and Continuation
- Contour Integrals
- Conformal Mapping
- IV Fourier Analysis
- Fourier Series
- Fourier Transformation
- Laplace Transformation
- Wavelet Transformation
- V Differential Equations
- Ordinary Differential Equations
- System of Ordinary Differential Equations
- Partial Differential Equations
- VI Tensor Analyses
- Cartesian Tensors
- Non-Cartesian Tensors
- Tensor as Mapping.