Applied Mathematics

Front Cover
John Wiley & Sons, May 28, 2013 - Mathematics - 688 pages

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.


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TwoDimensional Dynamical Systems
Perturbation Methods and Asymptotic Expansions
Calculus of Variations
Boundary Value Problems and Integral Equations
Partial Differential Equations
Wave Phenomena
Mathematical Models of Continua
Discrete Models

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About the author (2013)

J. DAVID LOGAN, PHD, is Willa Cather Professor of Mathematics at the University of Nebraska, Lincoln. He is also the author of An Introduction to Nonlinear Partial Differential Equations, Second Edition and Mathematical Methods in Biology, both published by Wiley. Dr. Logan has served on the faculties at the University of Arizona, Kansas State University, and Rensselaer Polytechnic Institute, and he has been affiliated with Los Alamos Scientific Laboratory, Lawrence Livermore National Laboratory, and the Aerospace Research Laboratory.

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