Applied Linear Algebra for Engineers
Michael F. Insana(Author)
CRC Press
1st Edition
Will be published approx. on 4. November 2026
Book
Hardback
360 pages
978-1-041-35868-8 (ISBN)
Description
Linear algebra is an increasing vital part of modern engineering, underpinning much of mathematical, technological and scientific methods that engineers are expected to deploy. When students encounter linear algebra for the first time, they are asked to step away from the familiar mechanical computations of elementary algebra and into a strange world of abstract algebra involving concepts like groups, fields, and spaces. It is no surprise then that linear algebra is most deeply understood only after years of applying it to a wide variety of technical problems.
The most common introduction for engineering undergraduates begins with a linear algebra course from the Math Department. With a solid mathematical foundation, instructors often assume students are prepared to apply those methods in upper-level engineering courses. However, the leap from classroom theory to application is larger and more complex than is often allowed for. Students need to be given the chance to learn how to make this transition.
Applied Linear Algebra for Engineers is an attempt to bridge this gap between concepts and practice by providing engineering context to fundamental topics in linear algebra in a self-learning format. Formal mathematics and historical references are suppressed in favor of examples and exercises all worked out analytically and numerically with results explained graphically where appropriate. This aim of this text is to empower senior students and practicing engineers and scientists with some previous exposure to linear algebra to dive into applications with confidence, and to deepen their understanding and innovative uses of linear algebra.
Features
Vast numbers of examples and exercises, including solutions
MATLAB and Python scripts available on a dedicated GitHub site
Suitable both as a teaching text and for self-study
The most common introduction for engineering undergraduates begins with a linear algebra course from the Math Department. With a solid mathematical foundation, instructors often assume students are prepared to apply those methods in upper-level engineering courses. However, the leap from classroom theory to application is larger and more complex than is often allowed for. Students need to be given the chance to learn how to make this transition.
Applied Linear Algebra for Engineers is an attempt to bridge this gap between concepts and practice by providing engineering context to fundamental topics in linear algebra in a self-learning format. Formal mathematics and historical references are suppressed in favor of examples and exercises all worked out analytically and numerically with results explained graphically where appropriate. This aim of this text is to empower senior students and practicing engineers and scientists with some previous exposure to linear algebra to dive into applications with confidence, and to deepen their understanding and innovative uses of linear algebra.
Features
Vast numbers of examples and exercises, including solutions
MATLAB and Python scripts available on a dedicated GitHub site
Suitable both as a teaching text and for self-study
More details
Language
English
Place of publication
London
United Kingdom
Publishing group
Taylor & Francis Ltd
Target group
College/higher education
Undergraduate Advanced
Illustrations
4 s/w Tabellen, 49 farbige Zeichnungen, 16 s/w Zeichnungen, 4 Farbfotos bzw. farbige Rasterbilder, 4 s/w Photographien bzw. Rasterbilder, 53 farbige Abbildungen, 20 s/w Abbildungen
4 Tables, black and white; 49 Line drawings, color; 16 Line drawings, black and white; 4 Halftones, color; 4 Halftones, black and white; 53 Illustrations, color; 20 Illustrations, black and white
Dimensions
Height: 234 mm
Width: 156 mm
ISBN-13
978-1-041-35868-8 (9781041358688)
Copyright in bibliographic data is held by Nielsen Book Services Limited or its licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions
Michael F. Insana
Applied Linear Algebra for Engineers
E-Book
approx. 11/2026
Chapman and Hall
€128.99
Not yet available
Michael F. Insana
Applied Linear Algebra for Engineers
E-Book
approx. 11/2026
Chapman and Hall
€128.99
Not yet available
Person
Michael Insana received his PhD in medical physics from the University of Wisconsin - Madison in 1983. He is currently Willett Professor Emeritus in Engineering at the University of Illinois at Urbana-Champaign, where he spent 22 years as faculty in the Departments Bioengineering, Electrical and Computer Engineering, and at the Beckman Institute for Advanced Science and Technology. He was Bioengineering Department Head during the years 2008-2013 and 2017-2019, and Editor-in-Chief of IEEE Transactions on Medical Imaging from 2015-2020. His research focus is medical image science. Michael is a Life Fellow of the IEEE and Fellow of the Institute of Physics, the Acoustical Society of America, and the American Institute of Medical and Biological Engineering.
Content
Part 1: Fundamentals Review 1. Arrays and Vectors 2. Matrices 3. Linearity 4. Complex Numbers 5. Vector Spaces Part 2: Methods 6. Systems of Equations 7. Determinants 8. Matrix Inverse and Regression Analysis 9. Gram-Schmidt Process 10. Eigenanalysis 11. Singular Value Decomposition 12. Fundamental Subspaces Part 3: Applications 13. Network Analysis 14. Classification and Feature Selection 15. Bayesian Regression 16. Quantum Computing