## 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reflecting on Ulam's legacy of interdisciplinary approaches to problems in math, physics, and biology; and previously unpublished miscellanea--conversations, a satirical play.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 |

### Contents

Stan UlamThe Man His Life His Style | 6 |

The Ulam LegacyInterdisciplinary Approaches | 36 |

Early Work in Numerical Hydrodynamics by Francis H Harlow | 144 |

Discrete Fluids by Brosl Hasslacher | 175 |

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 Ulam TouchUnpublished Items | 294 |

The Publications of Stanislaw M Ulam | 313 |

### Common terms and phrases

Alamos applications approach average become behavior calculations called changes close collision complex consider continuous course defined depends described detailed dimension direction discussed distance distribution dynamical effects energy equal equations ergodic example exist experiments fact field finite fixed flow fluid function geometry give given graphs idea important infinite initial interest iteration kinetic known lattice gas limit mathematicians mathematics mean measure mechanics method modes momentum motion moving nature Neumann nonlinear observed operations original particles patterns periodic phase space physics position possible present probability problem processes properties quantum mechanics question random regions Reynolds ROTA rules scale sequence shown simple simulations solution space Stan statistical structures theorem theory tion transformations transport turbulence Ulam unit University variables viscosity volume wave

### 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.