Linear Algebra and Group Theory for Physicists and Engineers
This textbook demonstrates the strong interconnections between linear algebra and group theory by presenting them simultaneously, a pedagogical strategy ideal for an interdisciplinary audience. Being approached together at the same time, these two topics complete one another, allowing students to at...
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| Hoofdauteur: | |
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| Coauteur: | |
| Formaat: | Elektronisch E-boek |
| Taal: | Engels |
| Gepubliceerd in: |
Cham :
Springer International Publishing : Imprint: Birkhäuser,
2023.
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| Editie: | 2nd ed. 2023. |
| Onderwerpen: | |
| Online toegang: | https://doi.org/10.1007/978-3-031-22422-5 |
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Inhoudsopgave:
- Part I: Introduction to Linear Algebra
- Vectors and Matrices
- Determinant and Vector Product in Physics
- Markov Matrix and its Spectrum: Towards Search Engines
- Special Relativity: Algebraic Point of View
- Part II: Introduction to Group Theory
- Groups and Isomorphism Theorems
- Projective Geometry in Computer Graphics
- Quantum Mechanics: Algebraic Point of View
- Part III: Polynomials and Basis Functions
- Polynomials and Their Gradient
- Basis Functions: Barycentric Coordinates in 3D
- Part IV: Finite Elements in 3-D. - Automatic Mesh Generation
- Mesh Regularity
- Numerical Integration
- Spline: Variational Model in 3D
- Part V: Permuation Group in Quantum Chemistry
- Determinant and Electronic Structure
- Part VI: The Jordan Form
- The Jordan Form
- Jordan Decomposition
- Algebras and their Derivation
- Part VII: Linearization in Numerical Relativity
- Einstein Equations and their Linearization.