Linear Algebra and Group Theory for Physicists and Engineers

AvYair Shapira

Häftad, Engelska, 2024

640 kr

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Beskrivning

Then, high-order finite elements are presented to design a regular mesh and assemble the stiffness and mass matrices in advanced applications in quantum chemistry and general relativity. This text is ideal for undergraduates majoring in engineering, physics, chemistry, computer science, or applied mathematics.

Produktinformation

Utgivningsdatum:2024-01-17
Mått:155 x 235 x 31 mm
Vikt:1 012 g
Format:Häftad
Språk:Engelska
Antal sidor:574
Upplaga:2
Förlag:Birkhauser Verlag AG
ISBN:9783031224249

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Mer om författaren

Yair Shapira, PhD, Department of Computer Science, Technion, Israeli Institute of Technology

Innehållsförteckning

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.