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  • © 2019

Linear Algebra and Group Theory for Physicists and Engineers

Birkhäuser

Authors:

  • 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. Front Matter

    Pages i-xxxi
  2. Introduction to Linear Algebra

    1. Front Matter

      Pages 1-1
    2. Vectors and Matrices

      • Yair Shapira
      Pages 3-49
    3. Markov Chain in a Graph

      • Yair Shapira
      Pages 89-101
    4. Special Relativity: Algebraic Point of View

      • Yair Shapira
      Pages 103-141
  3. Introduction to Group Theory

    1. Front Matter

      Pages 143-143
    2. Quantum Mechanics: Algebraic Point of View

      • Yair Shapira
      Pages 231-264
  4. Polynomials and Basis Functions

    1. Front Matter

      Pages 265-265
    2. Polynomials and Their Gradient

      • Yair Shapira
      Pages 267-297
  5. Finite Elements in 3-D

    1. Front Matter

      Pages 325-326
    2. Automatic Mesh Generation

      • Yair Shapira
      Pages 327-345
    3. Mesh Regularity

      • Yair Shapira
      Pages 347-358
    4. Numerical Integration

      • Yair Shapira
      Pages 359-367
  6. Advanced Applications in Physics and Chemistry

    1. Front Matter

      Pages 377-377
    2. Quantum Chemistry: Electronic Structure

      • Yair Shapira
      Pages 379-402

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

Bibliographic Information

Buy it now

Buying options

eBook USD 44.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever

Tax calculation will be finalised at checkout

Other ways to access