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.
Address vector and matrix methods necessary in numerical methods and optimization of linear systems with this practical text.
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.
'In this well-written reader friendly book, Professor Cassel
systematically presents a wide range of mathematical concepts and
methods, including matrix, numerical, and optimization methods,
that are crucial in science and engineering. In particular, the
book treats the mathematical models that describe and predict the
evolution of various processes and systems, and the numerical
methods required to obtain approximate solutions. It also explores
the dynamical systems theory used to describe and characterize
system behavior, alongside the techniques used to optimize their
performance. The book integrates and unifies matrix and
eigenfunction methods with their applications in numerical and
optimization methods. This book is a valuable reference or textbook
for advanced undergraduate and graduate students in engineering,
physical sciences, and applied mathematics.' Zhongshan Li, Georgia
State University
'The book offers an attractive and innovative approach to
integrating matrix and numerical methods with optimization
techniques in the context of dynamical systems. It would serve well
as a text in a course for advanced undergraduates and graduate
students in science and engineering.' Bill Saltzer Ph.D., Retired,
Applied Mathematician, 3M
'This text strikes just the right balance between mathematical
rigor and applications for engineers and mathematical scientists.
Numerous applications show the natural connection between discreet
and continuous models and their mathematical counterparts-matrix
methods and differential equations.' Joel A. Storch, California
State University, Northridge
The author has used a brilliant approach to engage his audience of
engineers and scientists by tapping their curiosity about
applications, then motivating them through explanation and finally
applying the concepts learned right away. This book can serve as an
excellent standard text for applied mathematics, with each chapter
formally presented according to the pattern
"motivate→learn→interpret→apply→extend ... Highly recommended.' M.
O. Farooq, Choice
|
Ask a Question About this Product More... |
|
