Surveys in Applied Mathematics: Essays Dedicated to S.M. Ulam covers the proceedings of the First Los Alamos Symposium on Mathematics in the Natural Sciences. The book focuses on the processes, principles, methodologies, and applications of mathematics in the natural sciences. The selection first offers information on the role of applied mathematics, shape of a curve, and biased versus unbiased estimation. Discussions focus on the James-Stein estimator, automorphic forms and PoincarAc series, PoincarAc metrics, Schottky space and augmented Schottky space, and Schottky groups and Riemann surfaces. The text then examines algorithms, Whitney numbers of geometric lattices, and continued fraction expansion of algebraic numbers. The book takes a look at bifurcations in reaction-diffusion problems, survey of some finite element methods proposed for treating the Dirichlet problem, and mathematics of quantum fields. Topics include Dirichlet problem, chemical waves and reaction-diffusion equations, and bifurcation theorems. The text then ponders on almost periodic behavior of nonlinear waves, turbulence theory, and renormalization group methods. The selection is a valuable source of information for mathematicians and researchers interested in applied mathematics.Essays Dedicated to S.M. Ulam N. Metropolis, S. Orszag, G.-C. Rota ... The Los Alamos Scientific Laboratory decided to organize a workshop with two objectives. It was observed that some of the ongoing projects were not making full use of the latest mathematics and theoretical physics. ... The staff made presentations of the mathematical aspects of problems and questions in the various areas ofanbsp;...

Title | : | Surveys in Applied Mathematics |

Author | : | N. Metropolis, S. Orszag, G.-C. Rota |

Publisher | : | Academic Press - 2014-05-10 |

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