Linear Algebra: A Course for Physicists and Engineers

Arak M. Mathai; Hans J. Haubold

Open Access Published by De Gruyter 2017

Linear Algebra

A Course for Physicists and Engineers

Arak M. Mathai and Hans J. Haubold

In the series De Gruyter Textbook

https://doi.org/10.1515/9783110562507

Overview
Contents

About this book

In order not to intimidate students by a too abstract approach, this textbook on linear algebra is written to be easy to digest by non-mathematicians. It introduces the concepts of vector spaces and mappings between them without dwelling on statements such as theorems and proofs too much. It is also designed to be self-contained, so no other material is required for an understanding of the topics covered.

As the basis for courses on space and atmospheric science, remote sensing, geographic information systems, meteorology, climate and satellite communications at UN-affiliated regional centers, various applications of the formal theory are discussed as well. These include differential equations, statistics, optimization and some engineering-motivated problems in physics.

Contents
Vectors
Matrices
Determinants
Eigenvalues and eigenvectors
Some applications of matrices and determinants
Matrix series and additional properties of matrices

Designed for students in engineering and physics in mind: related applications are included.
Proven by more than 20 years of teaching at institutions s.a. UN-affiliated Regional Centres for Space Science and Technology Education.
Self-contained.

Author / Editor information

Arak Mathai, Centre for Math. and Stat. Sciences, Kerala, India;
Hans Haubold, UN Office for Outer Space Affairs, Vienna, Austria.

Reviews

"The book is written in a lovely style: it is easy to read, it is self-contained and assumes no mathematical knowledge beyond high school level. It also contains a huge number of examples showing how linear algebra can be used in other mathematical, physical and engineering domains and even in social science. [...] All in all, the book is one of the nicest elementary books on linear algebra. I recommend it not only for physicists and engineers but also for all students who need linear algebra as a tool." MAA Reviews

Topics

Frontmatter Publicly Available Download PDF	I
Preface Open Access Download PDF	IX
Acknowledgement Open Access Download PDF	XI
Contents Open Access Download PDF	XIII
List of Symbols Open Access Download PDF	XVII
1. Vectors Open Access Download PDF	1
2. Matrices Open Access Download PDF	59
3. Determinants Open Access Download PDF	181
4. Eigenvalues and eigenvectors Open Access Download PDF	253
5. Some applications of matrices and determinants Open Access Download PDF	325
6. Matrix series and additional properties of matrices Open Access Download PDF	417
References Open Access Download PDF	447
Index Open Access Download PDF	449

(Deutsch)

Language: English
Publisher: De Gruyter
Audience: Students of physics, engineering, satellite communication, space and atmospheric sciences, climate and meteorology.
Pages
- Front matter: 17
- Main content: 450
Illustrations
- Illustrations: 30
Keywords: Lineare Algebra; Eigenvektor; Matrix

eBook

Published: October 23, 2017
ISBN: 9783110562507

Paperback

Published: October 23, 2017
ISBN: 9783110562354