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Part I. Introduction to Linear Algebra
1. Vectors and Matrices
2. Vector Product with Applications in Geometrical Mechanics
3. Markov Chain in a Graph
4. Special Relativity: Algebraic Point of View

Part II. Introduction to Group Theory
5. Group Representation and Isomorphism Theorems
6. Projective Geometry with Applications in Computer Graphics
7. Quantum Mechanics: Algebraic Point of View

Part III. Polynomials and Basis Functions
8. Polynomials and Their Gradient
9. Basis Functions: Barycentric Coordinates in 3-D

Part IV. Finite Elements in 3-D
10. Automatic Mesh Generation
11. Mesh Regularity
12. Numerical Integration
13. Spline: Variational Model in Three Spatial Dimensions

Part V. Advanced Applications in Physics and Chemistry
14. Quantum Chemistry: Electronic Structure
15. General Relativity: Einstein Equations

Correction to: Linear Algebra and Group Theory for Physicists and Engineers

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Linear algebra and group theory for physicists and engineers 이용현황 표 - 등록번호, 청구기호, 권별정보, 자료실, 이용여부로 구성 되어있습니다.
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0002590362 512.5 -A19-1 서울관 서고(열람신청 후 1층 대출대) 이용가능

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알라딘제공
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 attain a deeper understanding of both subjects. The opening chapters introduce linear algebra with applications to mechanics and statistics, followed by group theory with applications to projective geometry. 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. It is mostly self-contained?readers should only be familiar with elementary calculus. There are numerous exercises, with hints or full solutions provided. A series of roadmaps are also provided to help instructors choose the optimal teaching approach for their discipline.




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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 attain a deeper understanding of both subjects. The opening chapters introduce linear algebra with applications to mechanics and statistics, followed by group theory with applications to projective geometry. 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. It is mostly self-contained?readers should only be familiar with elementary calculus. There are numerous exercises, with hints or full solutions provided. A series of roadmaps are also provided to help instructors choose the optimal teaching approach for their discipline.



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