Linear Algebra and Group Theory for Physicists and Engineers [electronic resource] by Yair Shapira.

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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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Bibliographic Details
Main Author: Shapira, Yair (Author)
Corporate Author: SpringerLink (Online service)
Language:English
Published: Cham : Springer International Publishing : Imprint: Birkhäuser, 2019.
Edition:1st ed. 2019.
Subjects:
Algebras, Linear.
Computer science—Mathematics.
Group theory.
Online Access:
Springer Mathematics and Statistics eBooks 2019 English/International: 2019 (Springer Link)
Format: Electronic eBook
Contents:
  • 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.