Summary: This Fourth Edition is thoroughly updated and revised with new concepts and applications to assist readers in modeling and analyzing natural, social, and technological processes. Readers are introduced to key ideas in mathematical methods and modeling, with an emphasis on the connections between mathematics and the applied and natural sciences. The book covers the gamut of both standard and modern topics, including scaling and dimensional analysis; regular and singular pertur ...show morebation; calculus of variations; Green's functions and integral equations; nonlinear wave propagation; and stability and bifurcation. The author has included additional coverage of mathematics biology in this new edition, including biochemical kinetics, epidemiology, viral dynamics, parasitic diseases, etc. In addition, an emphasis on probability and stochastic differential equations is features. The book has been restructured to facilitate its use as a textbook. The first section covers models leading to ordinary differential equations and integral equations, and the second section focuses on partial differential equations and their applications. New and revised exercises can be found throughout and vary from routine calculations that reinforce basic techniques to challenging problems that stimulate advanced problem solving. ...show lessEdition/Copyright: 4TH 14
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