Linear Algebra and Group Theory for Physicists and Engineers (repost)
Yair Shapira, "Linear Algebra and Group Theory for Physicists and Engineers"
English | ISBN: 3030178552 | 2019 | 441 pages | PDF | 7 MB
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.