Diffusion, quantum theory, and radically elementary mathematics /:
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 m...
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Princeton :
Princeton University Press,
2014.
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| Schriftenreihe: | Mathematical notes (Princeton University Press)
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| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | 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. |
| Beschreibung: | 1 online resource (257 pages) |
| ISBN: | 9781400865253 1400865255 |
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| 505 | 0 | |a Cover; Title; Copyright; Contents; Preface; Chapter 1. Introduction: Diffusive Motion and Where It Leads; Chapter 2. Hypercontractivity, Logarithmic Sobolev Inequalities, and Applications: A Survey of Surveys; Chapter 3. Ed Nelson''s Work in Quantum Theory; Chapter 4. Symanzik, Nelson, and Self-Avoiding Walk; Chapter 5. Stochastic Mechanics: A Look Back and a Look Ahead; Chapter 6. Current Trends in Optimal Transportation: A Tribute to Ed Nelson; Chapter 7. Internal Set Theory and Infinitesimal Random Walks. | |
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| 520 | |a 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. | ||
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| contents | Cover; Title; Copyright; Contents; Preface; Chapter 1. Introduction: Diffusive Motion and Where It Leads; Chapter 2. Hypercontractivity, Logarithmic Sobolev Inequalities, and Applications: A Survey of Surveys; Chapter 3. Ed Nelson''s Work in Quantum Theory; Chapter 4. Symanzik, Nelson, and Self-Avoiding Walk; Chapter 5. Stochastic Mechanics: A Look Back and a Look Ahead; Chapter 6. Current Trends in Optimal Transportation: A Tribute to Ed Nelson; Chapter 7. Internal Set Theory and Infinitesimal Random Walks. Chapter 8. Nelson''s Work on Logic and Foundations and Other Reflections on the Foundations of MathematicsChapter 9. Some Musical Groups: Selected Applications of Group Theory in Music; Chapter 10. Afterword; Appendix A. Publications by Edward Nelson; Index. |
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| spelling | Diffusion, quantum theory, and radically elementary mathematics / edited by William G. Faris. Princeton : Princeton University Press, 2014. 1 online resource (257 pages) text txt rdacontent computer c rdamedia online resource cr rdacarrier Mathematical Notes Print version record. Cover; Title; Copyright; Contents; Preface; Chapter 1. Introduction: Diffusive Motion and Where It Leads; Chapter 2. Hypercontractivity, Logarithmic Sobolev Inequalities, and Applications: A Survey of Surveys; Chapter 3. Ed Nelson''s Work in Quantum Theory; Chapter 4. Symanzik, Nelson, and Self-Avoiding Walk; Chapter 5. Stochastic Mechanics: A Look Back and a Look Ahead; Chapter 6. Current Trends in Optimal Transportation: A Tribute to Ed Nelson; Chapter 7. Internal Set Theory and Infinitesimal Random Walks. Chapter 8. Nelson''s Work on Logic and Foundations and Other Reflections on the Foundations of MathematicsChapter 9. Some Musical Groups: Selected Applications of Group Theory in Music; Chapter 10. Afterword; Appendix A. Publications by Edward Nelson; Index. 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. In English. Mathematical physics. http://id.loc.gov/authorities/subjects/sh85082129 Diffusion. http://id.loc.gov/authorities/subjects/sh85037936 Quantum theory. http://id.loc.gov/authorities/subjects/sh85109469 Physique mathématique. Diffusion (Physique) Théorie quantique. diffusion. aat SCIENCE Energy. bisacsh SCIENCE Mechanics General. bisacsh SCIENCE Physics General. bisacsh SCIENCE Physics Quantum Theory. bisacsh Diffusion fast Mathematical physics fast Quantum theory fast Faris, William G., 1939- https://id.oclc.org/worldcat/entity/E39PBJj4ttRrq4fKkTFRDPgtKd http://id.loc.gov/authorities/names/no2004119390 Print version: Faris, William G. Diffusion, Quantum Theory, and Radically Elementary Mathematics. (MN-47). Princeton : Princeton University Press, ©2014 9780691125459 Mathematical notes (Princeton University Press) http://id.loc.gov/authorities/names/n42032553 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=818437 Volltext |
| spellingShingle | Diffusion, quantum theory, and radically elementary mathematics / Mathematical notes (Princeton University Press) Cover; Title; Copyright; Contents; Preface; Chapter 1. Introduction: Diffusive Motion and Where It Leads; Chapter 2. Hypercontractivity, Logarithmic Sobolev Inequalities, and Applications: A Survey of Surveys; Chapter 3. Ed Nelson''s Work in Quantum Theory; Chapter 4. Symanzik, Nelson, and Self-Avoiding Walk; Chapter 5. Stochastic Mechanics: A Look Back and a Look Ahead; Chapter 6. Current Trends in Optimal Transportation: A Tribute to Ed Nelson; Chapter 7. Internal Set Theory and Infinitesimal Random Walks. Chapter 8. Nelson''s Work on Logic and Foundations and Other Reflections on the Foundations of MathematicsChapter 9. Some Musical Groups: Selected Applications of Group Theory in Music; Chapter 10. Afterword; Appendix A. Publications by Edward Nelson; Index. Mathematical physics. http://id.loc.gov/authorities/subjects/sh85082129 Diffusion. http://id.loc.gov/authorities/subjects/sh85037936 Quantum theory. http://id.loc.gov/authorities/subjects/sh85109469 Physique mathématique. Diffusion (Physique) Théorie quantique. diffusion. aat SCIENCE Energy. bisacsh SCIENCE Mechanics General. bisacsh SCIENCE Physics General. bisacsh SCIENCE Physics Quantum Theory. bisacsh Diffusion fast Mathematical physics fast Quantum theory fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85082129 http://id.loc.gov/authorities/subjects/sh85037936 http://id.loc.gov/authorities/subjects/sh85109469 |
| 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 | Mathematical physics. http://id.loc.gov/authorities/subjects/sh85082129 Diffusion. http://id.loc.gov/authorities/subjects/sh85037936 Quantum theory. http://id.loc.gov/authorities/subjects/sh85109469 Physique mathématique. Diffusion (Physique) Théorie quantique. diffusion. aat SCIENCE Energy. bisacsh SCIENCE Mechanics General. bisacsh SCIENCE Physics General. bisacsh SCIENCE Physics Quantum Theory. bisacsh Diffusion fast Mathematical physics fast Quantum theory fast |
| topic_facet | Mathematical physics. Diffusion. Quantum theory. Physique mathématique. Diffusion (Physique) Théorie quantique. diffusion. SCIENCE Energy. SCIENCE Mechanics General. SCIENCE Physics General. SCIENCE Physics Quantum Theory. Diffusion Mathematical physics Quantum theory |
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