## Logan, J. David

# Applied Mathematics

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 MATLAB® 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.

**Keywords:** Applied Mathematics, Applied Mathematics, Two-Dimensional Dynamical Systems, Perturbation Methods, Asymptotic Expansions, Calculus of Variations, Eigenvalue Problems, Integral Equations, Green's Functions, Partial Differential Equations, Wave Phenomena, Discrete Models

- Author(s)
- Logan, J. David
- Publisher
- John Wiley and Sons, Inc.
- Publication year
- 2013
- Language
- en
- Edition
- 4
- Page amount
- 680 pages
- Category
- Natural Sciences
- Format
- Ebook
- eISBN (ePUB)
- 9781118501702
- Printed ISBN
- 9781118475805