Linear Algebra for Physicists & Engineers by Arak Mathai
Linear Algebra for Physicists & Engineers - Table of Contents
PART I: VECTORS, MATRICES & LINEAR EQUATIONS
- 1. Vectors and Vector Spaces
- 2. Matrices and Matrix Operations
- 3. Determinants and Inverses
- 4. Systems of Linear Equations
PART II: EIGENVALUES & APPLICATIONS
- 5. Eigenvalues and Eigenvectors
- 6. Linear Transformations and Canonical Forms
- 7. Quadratic Forms and Matrix Calculus
- 8. Applications to Physics and Engineering
What You Will Learn in Linear Algebra for Physicists & Engineers
Linear Algebra for Physicists & Engineers by Arak M. Mathai and Hans J. Haubold is an applied, highly structured textbook that bridges abstract linear algebra and practical problems in science and engineering. This comprehensive volume guides readers through matrices, vector spaces, linear transformations, determinants, quadratic forms, and matrix calculus with exceptional clarity and concrete physical motivation.
Designed for undergraduate engineering students, applied physicists, and quantitative researchers, this foundational text emphasizes matrix computations and real-world applicability over abstract axiomatic proofs. The authors provide step-by-step worked examples, physical interpretations, and practical analytical methods for solving system equations, diagonalization problems, and differential systems. Whether you are studying quantum mechanics, fluid dynamics, or structural analysis, this book offers an indispensable roadmap.
Recognized globally for its application-driven exposition, it remains one of the best applied linear algebra books for self-study. By balancing computational rigor with direct engineering applications, it serves as an essential tool for mastering linear algebra for physics with confidence.
Book Details & Specifications
Title:
Linear Algebra for Physicists & Engineers by Arak Mathai
Publisher:
De Gruyter
Year:
2017
Pages:
520
Type:
PDF
Language:
English
ISBN-10 #:
3110562359
ISBN-13 #:
978-3110562354
License:
CC BY-NC-ND 4.0
Amazon:
Amazon
About the Author: Arak M. Mathai
The author Arak M. Mathai
is an Emeritus Professor of Mathematics and Statistics at McGill University, Canada, and the Founder-Director of the Centre for Mathematical and Statistical Sciences (CMSS), India. Internationally celebrated for his research in matrix calculus, special functions, and geometrical probability, he has authored over 30 research-level textbooks and hundreds of research papers spanning pure mathematics, astrophysics, and statistics.
Co-authored alongside distinguished astrophysicist Hans J. Haubold (United Nations Office for Outer Space Affairs), Linear Algebra for Physicists & Engineers reflects their combined decades of international university teaching. Their emphasis on clear computational steps, physical insight, and concrete application matrices makes this text a classic reference for applied linear algebra that continues to be trusted by science and engineering students worldwide.
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