1st Edition

Applied Linear Algebra for Engineers

By Michael F. Insana Copyright 2027
360 Pages 53 Color & 20 B/W Illustrations
by Chapman & Hall

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... Read more

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

Biography

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.