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...
Κύριος συγγραφέας: | |
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Συγγραφή απο Οργανισμό/Αρχή: | |
Μορφή: | Ηλεκτρονική πηγή Ηλ. βιβλίο |
Γλώσσα: | English |
Έκδοση: |
Cham :
Springer International Publishing : Imprint: Birkhäuser,
2019.
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Έκδοση: | 1st ed. 2019. |
Θέματα: | |
Διαθέσιμο Online: | Full Text via HEAL-Link |
Πίνακας περιεχομένων:
- Part I Introduction to Linear Algebra
- Vectors and Matrices
- Vector Product in Geometrical Mechanics
- Markov Chain in a Graph
- Special Relativity - Algebraic Point of View
- Part II Introduction to Group Theory
- Group Representation 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 3-D
- Part IV Finite Elements in 3-D
- Automatic Mesh Generation
- Mesh Regularity
- Numerical Integration
- Spline: Variational Model
- Part V Advanced Applications in Physics and Chemistry
- Quantum Chemistry: Electronic Structure
- General Relativity: Einstein Equations
- References.