Diffusion, Quantum Theory, and Radically Elementary Mathematics:
Gespeichert in:
| Format: | Elektronisch E-Book |
|---|---|
| Sprache: | English |
| Veröffentlicht: |
Princeton, N.J.
Princeton University Press
[2006]
|
| Schriftenreihe: | Mathematical Notes
47 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | Diffusive motion--displacement due to the cumulative effect of irregular fluctuations--has been a fundamental concept in mathematics and physics since Einstein's work on Brownian motion. It is also relevant to understanding various aspects of quantum theory. This book explains diffusive motion and its relation to both nonrelativistic quantum theory and quantum field theory. It shows how diffusive motion concepts lead to a radical reexamination of the structure of mathematical analysis. The book's inspiration is Princeton University mathematics professor Edward Nelson's influential work in probability, functional analysis, nonstandard analysis, stochastic mechanics, and logic. The book can be used as a tutorial or reference, or read for pleasure by anyone interested in the role of mathematics in science. Because of the application of diffusive motion to quantum theory, it will interest physicists as well as mathematicians. The introductory chapter describes the interrelationships between the various themes, many of which were first brought to light by Edward Nelson. In his writing and conversation, Nelson has always emphasized and relished the human aspect of mathematical endeavor. In his intellectual world, there is no sharp boundary between the mathematical, the cultural, and the spiritual. It is fitting that the final chapter provides a mathematical perspective on musical theory, one that reveals an unexpected connection with some of the book's main themes |
| Beschreibung: | 1 Online-Ressource (256p.) |
| ISBN: | 9781400865253 |
| DOI: | 10.1515/9781400865253 |
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| spelling | Diffusion, Quantum Theory, and Radically Elementary Mathematics edited by William G. Faris Princeton, N.J. Princeton University Press [2006] 1 Online-Ressource (256p.) txt rdacontent c rdamedia cr rdacarrier Mathematical Notes 47 Diffusive motion--displacement due to the cumulative effect of irregular fluctuations--has been a fundamental concept in mathematics and physics since Einstein's work on Brownian motion. It is also relevant to understanding various aspects of quantum theory. This book explains diffusive motion and its relation to both nonrelativistic quantum theory and quantum field theory. It shows how diffusive motion concepts lead to a radical reexamination of the structure of mathematical analysis. The book's inspiration is Princeton University mathematics professor Edward Nelson's influential work in probability, functional analysis, nonstandard analysis, stochastic mechanics, and logic. The book can be used as a tutorial or reference, or read for pleasure by anyone interested in the role of mathematics in science. Because of the application of diffusive motion to quantum theory, it will interest physicists as well as mathematicians. The introductory chapter describes the interrelationships between the various themes, many of which were first brought to light by Edward Nelson. In his writing and conversation, Nelson has always emphasized and relished the human aspect of mathematical endeavor. In his intellectual world, there is no sharp boundary between the mathematical, the cultural, and the spiritual. It is fitting that the final chapter provides a mathematical perspective on musical theory, one that reveals an unexpected connection with some of the book's main themes In English Physik Mathematical physics Diffusion Quantum theory SCIENCE / Energy bisacsh SCIENCE / Mechanics / General bisacsh SCIENCE / Physics / General bisacsh SCIENCE / Physics / Quantum Theory bisacsh Mathematische Physik Quantentheorie Diffusion (DE-588)4012277-3 gnd rswk-swf Mathematische Physik (DE-588)4037952-8 gnd rswk-swf Quantentheorie (DE-588)4047992-4 gnd rswk-swf Mathematische Physik (DE-588)4037952-8 s Quantentheorie (DE-588)4047992-4 s Diffusion (DE-588)4012277-3 s 1\p DE-604 Faris, William G. Sonstige oth https://doi.org/10.1515/9781400865253 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Diffusion, Quantum Theory, and Radically Elementary Mathematics Physik Mathematical physics Diffusion Quantum theory SCIENCE / Energy bisacsh SCIENCE / Mechanics / General bisacsh SCIENCE / Physics / General bisacsh SCIENCE / Physics / Quantum Theory bisacsh Mathematische Physik Quantentheorie Diffusion (DE-588)4012277-3 gnd Mathematische Physik (DE-588)4037952-8 gnd Quantentheorie (DE-588)4047992-4 gnd |
| subject_GND | (DE-588)4012277-3 (DE-588)4037952-8 (DE-588)4047992-4 |
| title | Diffusion, Quantum Theory, and Radically Elementary Mathematics |
| title_auth | Diffusion, Quantum Theory, and Radically Elementary Mathematics |
| title_exact_search | Diffusion, Quantum Theory, and Radically Elementary Mathematics |
| title_full | Diffusion, Quantum Theory, and Radically Elementary Mathematics edited by William G. Faris |
| title_fullStr | Diffusion, Quantum Theory, and Radically Elementary Mathematics edited by William G. Faris |
| title_full_unstemmed | Diffusion, Quantum Theory, and Radically Elementary Mathematics edited by William G. Faris |
| title_short | Diffusion, Quantum Theory, and Radically Elementary Mathematics |
| title_sort | diffusion quantum theory and radically elementary mathematics |
| topic | Physik Mathematical physics Diffusion Quantum theory SCIENCE / Energy bisacsh SCIENCE / Mechanics / General bisacsh SCIENCE / Physics / General bisacsh SCIENCE / Physics / Quantum Theory bisacsh Mathematische Physik Quantentheorie Diffusion (DE-588)4012277-3 gnd Mathematische Physik (DE-588)4037952-8 gnd Quantentheorie (DE-588)4047992-4 gnd |
| topic_facet | Physik Mathematical physics Diffusion Quantum theory SCIENCE / Energy SCIENCE / Mechanics / General SCIENCE / Physics / General SCIENCE / Physics / Quantum Theory Mathematische Physik Quantentheorie |
| url | https://doi.org/10.1515/9781400865253 |
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