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:
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.
Chapter 1: Dimensional Analysis and One-Dimensional Dynamics
Chapter 2: Two-Dimensional Dynamical Systems
Chapter 3: Perturbation Methods and Asymptotic Expansions
Chapter 4: Calculus of Variations
Chapter 5: Boundary Value Problems and Integral Equations
Chapter 6: Partial Differential Equations
Chapter 7: Wave Phenomena
Chapter 8: Mathematical Models of Continua
Chapter 9: Discrete Models
