Surveys in Applied Mathematics

Surveys in Applied Mathematics

Essays Dedicated to S.M. Ulam

1st Edition - January 1, 1976

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  • Editors: N. Metropolis, S. Orszag, G.-C. Rota
  • eBook ISBN: 9781483258133

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Description

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 Poincaré series, Poincaré 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.

Table of Contents


  • Contributors

    Preface

    Introduction

    On the Role of Applied Mathematics

    On the Shape of a Curve

    Automorphic Forms for Schottky Groups

    Biased Versus Unbiased Estimation

    Algorithms

    Whitney Numbers of Geometric Lattices

    Continued Fraction Expansion of Algebraic Numbers

    Random Time Evolution of Infinite Particle Systems

    Bifurcations In Reaction-Diffusion Problems

    Singular Perturbation

    A Survey of Some Finite Element Methods Proposed for Treating the Dirichlet Problem

    The Mathematics of Quantum Fields

    Renormalization Group Methods

    Remarks on Turbulence Theory

    On an Explicitly Soluble System of Nonlinear Differential Equations Related to Certain Toda Lattices

    Three Integrable Hamiltonian Systems Connected with Isospectral Deformations

    Almost Periodic Behavior of Nonlinear Waves

    A Constructive Definition of the Real Numbers

Product details

  • No. of pages: 316
  • Language: English
  • Copyright: © Academic Press 1976
  • Published: January 1, 1976
  • Imprint: Academic Press
  • eBook ISBN: 9781483258133

About the Editors

N. Metropolis

S. Orszag

G.-C. Rota

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