From Cardinals to Chaos: Reflection on the Life and Legacy of Stanislaw UlamN. G. Cooper, Roger Eckhardt, Nancy Shera First published 1987 as Los Alamos science, special issue. A compendium of biographical (and autobiographical) notes, essays, and scientific articles reflecting on Ulam's legacy of interdisciplinary approaches to problems in math, physics, and biology; and previously unpublished miscellanea--conversations, a satirical play. The whole serves to celebrate the personality and contributions of the dynamic mathematician. Annotation copyrighted by Book News, Inc., Portland, OR |
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Contents
Stan UlamThe Man His Life His Style | 4 |
The Ulam LegacyInterdisciplinary Approaches | 36 |
Early Work in Numerical Hydrodynamics by Francis H Harlow | 144 |
The Simple Hexagonal Model Theory and Simulations | 187 |
Nonlinear ScienceFrom Paradigms to Practicalities by David K Campbell | 218 |
A Complicated Problem of Mathematics and Physics by Adrian Patrascioiu | 263 |
BIOLOGY | 280 |
Sequence AnalysisContributions by Ulam to Molecular Genetics by Walter B Goad | 288 |
The Publications of Stanislaw M Ulam | 313 |
Common terms and phrases
Alamos behavior Boltzmann calculations Cantor set cells chaos chaotic coherent structures collision complex defined degrees of freedom density described deterministic dimension discussed distribution function dynamical systems ENIAC Erdös ergodic hypothesis example exist Fermi finite fixed point flow fluid fractal geometry graphs Hamiltonian homeomorphisms idea infinite initial conditions instability integrable interactions invariant iteration kinetic energy Laboratory large numbers lattice gas law of large limit set linear logistic map Los Alamos Lwów mathe mathematicians mathematics mean-flow measure modes momentum Monte Carlo method motion Navier-Stokes equations Neumann neutron nonlinear systems parameter particles patterns pendulum perturbation phase space physics probability problem processes properties random numbers random variable regions Reynolds number ROTA scale sequence simple simulations solitons solution Stan Ulam Stan's statistical mechanics Stein strange attractor techniques tensor theorem tion toss transformations transport equation turbulence Ulam's University velocity viscosity wave X₁
Popular passages
Page 262 - Let us say here that the results of our computations show features which were, from the beginning, surprising to us. Instead of a gradual, continuous flow of energy from the first mode to the higher modes, all of the problems show an entirely different behavior.