Matrix, Numerical, and Optimization Methods in Science and Engineering

Address vector and matrix methods necessary in numerical methods and optimization of linear systems with this practical, unified text. Perfect for advanced undergraduate students and graduate students in engineering, physical sciences, and applied mathematics.

List of contents

Part I. Matrix Methods: 1. Vector and matrix algebra; 2. Algebraic eigenproblems and their applications; 3. Differential eigenproblems and their applications; 4. Vector and matrix calculus; 5. Analysis of discrete dynamical systems; Part II. Numerical Methods: 6. Computational linear algebra; 7. Numerical methods for differential equations; 8. Finite-difference methods for boundary-value problems; 9. Finite-difference methods for initial-value problems; Part III. Least Squares and Optimization: 10. Least-squares methods; 11. Data analysis - curve fitting and interpolation; 12. Optimization and root finding of algebraic systems; 13. Data-driven methods and reduced-order modeling.

About the author

Kevin W. Cassel is Professor of Mechanical and Aerospace Engineering and Professor of Applied Mathematics at the Illinois Institute of Technology. He is also an Associate Fellow of the American Institute of Aeronautics and Astronautics.

Summary

Address vector and matrix methods necessary in numerical methods and optimization of linear systems with this practical, unified text. Perfect for advanced undergraduate students and graduate students in engineering, physical sciences, and applied mathematics.

Product details

• Authors: Kevin W Cassel, Kevin W. Cassel, Kevin W. (Illinois Institute of Technology Cassel, Kevin W. (Illinois Institute of Technology) Cassel, Cassel Kevin W., Cassel Kevin W. Cassel
• Publisher: Cambridge University Press ELT
• Languages: English
• Product format: Hardback
• Released: 31.12.2020
• EAN: 9781108479097
• ISBN: 978-1-108-47909-7
• No. of pages: 600
• Subjects: Natural sciences, medicine, IT, technology > Physics, astronomy > Mechanics, acoustics; Optimization, MATHEMATICS / Optimization, MATHEMATICS / Applied, SCIENCE / Mechanics / Fluids, MATHEMATICS / Mathematical Analysis, SCIENCE / Mechanics / Dynamics, MATHEMATICS / Numerical Analysis, COMPUTERS / Machine Theory, Fluid mechanics, Numerical analysis, Calculus & mathematical analysis, Mathematical theory of computation, Maths for engineers, Dynamics & statics, Calculus and mathematical analysis, Physics: Fluid mechanics, SCIENCE / Mechanics / Statics, Dynamics and statics