Advanced Mathematics for Engineering Students
The Essential Toolbox

A new concise treatment for applied mathematics, focusing on the development of tools to solve most types of mathematical problems that arise in engineering – a “toolbox” for the engineer

Brent J. Lewis (Author), E. Nihan Onder (Author), Andrew Prudil (Author)

9780128236819, Elsevier Science

Paperback, published 17 August 2021

432 pages, 61 illustrations (55 in full color)
23.5 x 19 x 2.7 cm, 0.68 kg

"Overall, the reviewer considers this text to offer a good and useful coverage of advanced  mathematics for engineers. It gives useful and succinct coverage of the topics included." --IEEE Pulse

Advanced Mathematics for Engineering Students: The Essential Toolbox provides a concise treatment for applied mathematics. Derived from two semester advanced mathematics courses at the author’s university, the book delivers the mathematical foundation needed in an engineering program of study. Other treatments typically provide a thorough but somewhat complicated presentation where students do not appreciate the application. This book focuses on the development of tools to solve most types of mathematical problems that arise in engineering – a “toolbox? for the engineer. It provides an important foundation but goes one step further and demonstrates the practical use of new technology for applied analysis with commercial software packages (e.g., algebraic, numerical and statistical).

1. Prologue 2. Ordinary Differential Equations 3. Laplace and Fourier Transform Methods 4. Matrices and Linear Systems of Equations 5. Analytical Methods for Solving Partial Differential Equations 6.Difference Numerical Methods for Differential Equations 7. Finite Element Technique 8. Treatment of Experimental Results 9. Numerical Analysis 10. Introduction to Complex Analysis 11. Nondimensionalisation 12. Nonlinear Differential Equations 13. Integral Equations 14. Calculus of Variations

Subject Areas: Maths for engineers [TBJ], Technology: general issues [TB], Applied mathematics [PBW], Differential calculus & equations [PBKJ], Real analysis, real variables [PBKB]