Applied Mathematics

Praise for the Third Edition "Future mathematicians, scientists, and engineers shouldfind the book to be an excellent introductory text for courseworkor self-study as well as worth its shelf space forreference." --MAA Reviews Applied Mathematics, Fourth Edition is a thoroughly updated andrevised edition on the applications of modeling and analyzingnatural, social, and technological processes. The book covers awide range of key topics in mathematical methods and modeling andhighlights the connections between mathematics and the applied andnatural sciences. The Fourth Edition covers both standard and moderntopics, including scaling and dimensional analysis; regular andsingular perturbation; calculus of variations; Green'sfunctions and integral equations; nonlinear wave propagation; andstability and bifurcation. The book provides extended coverage ofmathematical biology, including biochemical kinetics, epidemiology,viral dynamics, and parasitic disease. In addition, the new editionfeatures: * Expanded coverage on orthogonality, boundary value problems,and distributions, all of which are motivated by solvability andeigenvalue problems in elementary linear algebra * Additional MATLAB® applications for computer algebrasystem calculations * Over 300 exercises and 100 illustrations that demonstrateimportant concepts * New examples of dimensional analysis and scaling along with newtables of dimensions and units for easy reference * Review material, theory, and examples of ordinary differentialequations * New material on applications to quantum mechanics, chemicalkinetics, and modeling diseases and viruses Written at an accessible level for readers in a wide range ofscientific fields, Applied Mathematics, Fourth Edition is anideal text for introducing modern and advanced techniques ofapplied mathematics to upper-undergraduate and graduate-levelstudents in mathematics, science, and engineering. The book is alsoa valuable reference for engineers and scientists in government andindustry.