Linear Algebra
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Arak M. Mathai
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
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
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Frontmatter
I -
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Preface
IX -
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Acknowledgement
XI -
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Contents
XIII -
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List of Symbols
XVII -
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1. Vectors
1 -
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2. Matrices
59 -
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3. Determinants
181 -
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4. Eigenvalues and eigenvectors
253 -
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5. Some applications of matrices and determinants
325 -
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6. Matrix series and additional properties of matrices
417 -
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References
447 -
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Index
449
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Manufacturer information:
Walter de Gruyter GmbH
Genthiner Straße 13
10785 Berlin
productsafety@degruyterbrill.com
