This examination of mathematical methods covers scaling and dimensional analysis, regular and singular perturbation methods, nonlinear wave propagation, and stability and bifurcation.
The outstanding Second Edition skillfully revised and thoroughly updated
Since its initial publication over ten years ago, J. David Logan's Applied Mathematics has established itself as an ideal modern introduction to the principles of this important subject. Now, energized with fresh material and refined to achieve optimum clarity, this Second Edition brings Logan's highly acclaimed text fully up to date for the '90s and beyond.
Like the original, this revised volume covers not only such standard topics as fluid mechanics and calculus of variations, but also more contemporary methods, including dimensional analysis and scaling, nonlinear wave propagation, bifurcation, and singular perturbation. New sections have been added on the WKB approximation, the asymptotic expansion of integrals, and numerical methods. The treatment of partial differential equations, integral equations, and Green's functions has also been expanded, and there are many new exercises throughout to help readers develop and improve problem-solving skills with the support of the Maple programs provided.
Classical in approach and broad in scope, Applied Mathematics, Second Edition is firmly rooted in the interdependence of mathematics and the physical sciences, making it an accessible and truly relevant resource for students and practitioners across a wide range of scientific and engineering fields.
|Product dimensions:||5.83(w) x 9.70(h) x 1.38(d)|
Table of Contents
1. Dimensional Analysis, Scaling, & Differential Equations.
2. Perturbation Methods.
3. Calculus of Variations.
4. Eigenvalue Problems, Integral Equations, and Green's Functions.
5. Discrete Models.
6. Partial Differential Equations.
7. Wave Phenomena.
8. Mathematical Models of Continua.