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Linear Algebra and Group Theory for Physicists and Engineers

  • Textbook
  • © 2019

Overview

Authors:
  1. Yair Shapira

    1. Department of Computer Science, Technion, Israel Institute of Technology, Haifa, Israel

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  • Offers readers a deeper, more intuitive understanding of applied mathematics by introducing linear algebra and group theory together
  • Adopts an interdisciplinary approach, making it flexible enough to appeal to engineers, physicists, chemists, computer scientists, and more
  • Provides an array of examples throughout, perfect for practicing what is taught

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Table of contents (16 chapters)

  1. Advanced Applications in Physics and Chemistry

    1. General Relativity: Einstein Equations

      • Yair Shapira
      Pages 403-417

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

    • Yair Shapira
    Pages C1-C1

  3. Back Matter

    Pages 419-441
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Keywords

About this book

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.





Authors and Affiliations

  • Department of Computer Science, Technion, Israel Institute of Technology, Haifa, Israel

    Yair Shapira

About the author

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

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