Princeton Companion to Applied MathematicsThis is the most authoritative and accessible singlevolume reference book on applied mathematics. Featuring numerous entries by leading experts and organized thematically, it introduces readers to applied mathematics and its uses; explains key concepts; describes important equations, laws, and functions; looks at exciting areas of research; covers modeling and simulation; explores areas of application; and more. Modeled on the popular Princeton Companion to Mathematics, this volume is an indispensable resource for undergraduate and graduate students, researchers, and practitioners in other disciplines seeking a userfriendly reference book on applied mathematics.

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algebraic algorithm analysis applied mathematics approximation asymptotic beamformer behavior bifurcation Boltzmann equation boundary bounded coefficients complex components computational constant continuum mechanics convergence coordinates curve defined denotes derivatives described differential equations dimension dynamics edges eigenvalues eigenvectors energy equa error Euler Euler method example field figure filter finite flow fluid formula Fourier func function given gradient graph homoclinic orbit integral inverse problem iteration magnetic math matrix mechanics method Newton’s nodes nonlinear operator optimization orbits ordinary differential equations orthogonal orthogonal polynomials parameter partial differential equations particle PDEs perturbation physical polynomial prob properties quantum random result Runge–Kutta methods satisfies scalar sequence singular solution solving space spatial spectral stable surface symmetry tensor theorem theory tion transform unstable variables vector velocity vertices wave zero