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Diffusion, quantum theory, ...
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
Monografía
monografia Rebiun27456132 https://catalogo.rebiun.org/rebiun/record/Rebiun27456132 m o d cr cnu---unuuu 140823s2014 nju o 000 0 eng d 9781400865253 electronic bk.) 1400865255 electronic bk.) 10.1515/9781400865253 doi 22573/ctt767z8x JSTOR EBLCP eng pn EBLCP N$T OCLCO DEBSZ JSTOR OCLCF DEBBG OCLCQ COO OCLCQ UIU AGLDB ZCU MERUC OCLCQ IOG EZ9 VTS ICG OCLCQ LVT STF DKC OCLCQ M8D OCLCQ AJS SCI 024000 bisacsh SCI 041000 bisacsh SCI 055000 bisacsh SCI057000 bisacsh MAT012010 bisacsh MAT029040 bisacsh Diffusion, quantum theory, and radically elementary mathematics edited by William G. Faris Princeton Princeton University Press 2014 Princeton Princeton Princeton University Press 1 online resource (257 pages) 1 online resource (257 pages) Text txt rdacontent computer c rdamedia online resource cr rdacarrier Mathematical Notes 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 Diffusion Quantum theory SCIENCE- Energy SCIENCE- Mechanics- General SCIENCE- Physics- General SCIENCE- Physics- Quantum Theory Diffusion Mathematical physics Quantum theory Electronic books Faris, William G. 1939-) 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)