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Analogies Between Analogies
The Mathematical Reports of S.M. Ulam and his Los Alamos Collaborators
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S. M. Ulam
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Edited by:
A. R. Bednarek
, A. R. Bednarek and Françoise Ulam
Language:
English
Published/Copyright:
2023
About this book
During his forty-year association with the Los Alamos National Laboratory, mathematician Stanislaw Ulam wrote many Laboratory Reports, usually in collaboration with colleagues. Some of them remain classified to this day. The rest are gathered in this volume and for the first time are easily accesible to mathematicians, physical scientists, and historians. The timeliness of these papers is remarkable. They contain seminal ideas in such fields as nonlinear stochastic processes, parallel computation, cellular automata, and mathematical biology. The collection is of historical interest as well, During and after World War II, the complexity of problems at the frontiers of science surpassed any technology that had ever existed. Electronic computing machines had to be developed and new computing methods had to be invented based on the most abstract ideas from the foundations of mathematics and theoretical physics. To these problems and others in physics, astronomy, and biology, Ulam was able to bring both general insights and specific conceptual contributions. His fertile ideas were far ahead of their time, and ranged over many branches of science. In fact, his mathematical versatility fulfilled the statement of his friend and mentor, the great Polish mathematician Stefan Banach, who claimed that the very best mathematicians see "analogies between analogies." Introduced by A. R. Bednarek and Francoise Ulam, these Los Alamos reports represent a unique view of one of the twentieth century's intellectual masters and scientific pioneers. This title is part of UC Press's Voices Revived program, which commemorates University of California Press’s mission to seek out and cultivate the brightest minds and give them voice, reach, and impact. Drawing on a backlist dating to 1893, Voices Revived makes high-quality, peer-reviewed scholarship accessible once again using print-on-demand technology. This title was originally published in 1990.
Author / Editor information
Contributor: S. M. Ulam
S. M. Ulam (1909-1984), a key member of the now legendary Polish School of Mathematics, came to the United States in 1935. After work at Princeton, Harvard, and the University of Wisconsin, he joined the Manhattan Project at Los Alamos in 1944. In addition to his articles, essays, and books of mathematical studies, Ulam published an autobiography, Adventures of a Mathematician.
Topics
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Frontmatter
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CONTENTS
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FOREWORD
IX -
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PREFACE
XV -
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1. Theory of Multiplicative Processes
1 -
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2. Statistical Methods in Neutron Diffusion
17 -
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3. Multiplicative Systems in Several Variables, I, II, III
37 -
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4. Heuristic Studies in Problems of Mathematical Physics on High Speed Computing Machines
121 -
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5. Studies of Nonlinear Problems
139 -
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6. On the Ergodic Behavior of Dynamical Systems
155 -
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7. On a Method of Propulsion of Projectiles by Means of External Nuclear Explosions
163 -
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8. Some Schemes for Nuclear Propulsion. Part I
179 -
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9. On the Possibility of Extracting Energy from Gravitational Systems by Navigating Space Vehicles
185 -
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10. Quadratic Transformations
189 -
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11. Nonlinear Transformation Studies on Electronic Computers
292 -
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12. On Recursively Defined Geometrical Objects and Patterns of Growth
378 -
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13. Computer Studies of Some History-Dependent Random Processes
398 -
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14. The Entropy of Interacting Populations
417 -
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15. Some Elementary Attempts at Numerical Modeling of Problems Concerning Rates of Evolutionary Processes
429 -
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16. The Notion of Complexity
445 -
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17. Metrics in Biology, an Introduction
465 -
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18. On the Theory of Relational Structures and Schemata for Parallel Computation
477 -
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19. The Scottish Book, A LASL Monograph
509 -
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20. On the Notion of Analogy and Complexity in Some Constructive Mathematical Schemata
513 -
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21. Speculations about the Mechanisms of Recognition and Discrimination (LA-UR-82-62, 1982)
525 -
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APPENDIX A. PUBLICATIONS OF STANISLAW M. ULAM
535 -
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APPENDIX B. VITA
550 -
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INDEX
551
Publishing information
Pages and Images/Illustrations in book
eBook published on:
September 23, 2020
eBook ISBN:
9780520322929
Edition:
Reprint 2020
Pages and Images/Illustrations in book
Main content:
588
eBook ISBN:
9780520322929
Keywords for this book
applied mathematics; dynamic systems; geometry; history of mathematics; history of science; mathematics