Praise for the *Third Edition*

“Future mathematicians, scientists, and engineers should find the book to be an excellent introductory text for coursework or self-study as well as worth its shelf space for reference.”

—MAA Reviews

Applied Mathematics, Fourth Edition is a thoroughly updated and revised edition on the applications of modeling and analyzing natural, social, and technological processes. The book covers a wide range of key topics in mathematical methods and modeling and highlights the connections between mathematics and the applied and natural sciences.

The *Fourth Edition* covers both standard and modern topics, including scaling and dimensional analysis; regular and singular perturbation; calculus of variations; Green’s functions and integral equations; nonlinear wave propagation; and stability and bifurcation. The book provides extended coverage of mathematical biology, including biochemical kinetics, epidemiology, viral dynamics, and parasitic disease. In addition, the new edition features:

- Expanded coverage on orthogonality, boundary value problems, and distributions, all of which are motivated by solvability and eigenvalue problems in elementary linear algebra
- Additional MATLABŪ applications for computer algebra system calculations
- Over 300 exercises and 100 illustrations that demonstrate important concepts
- New examples of dimensional analysis and scaling along with new tables of dimensions and units for easy reference
- Review material, theory, and examples of ordinary differential equations
- New material on applications to quantum mechanics, chemical kinetics, and modeling diseases and viruses

Written at an accessible level for readers in a wide range of scientific fields, *Applied Mathematics, Fourth Edition* is an ideal text for introducing modern and advanced techniques of applied mathematics to upper-undergraduate and graduate-level students in mathematics, science, and engineering. The book is also a valuable reference for engineers and scientists in government and industry.