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Diffusion, quantum theory, and radically elementary mathematics

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Data Type : eBook
ISBN : 9781400865253 
ISBN : 1400865255 
Etc. identifier : 10.1515/9781400865253  doi 
Title/Author : Diffusion, quantum theory, and radically elementary mathematics /:  edited by William G. Faris. 
Imprint : Princeton:  Princeton University Press,  2014. 
Format : 1 online resource (257 pages). 
Total Title Note : Mathematical Notes 
Content Note : 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. 
Content Note : 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. 
요약 : 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. 
General Subject Name : Mathematical physics. -- 
General Subject Name : Diffusion. -- 
General Subject Name : Quantum theory. -- 
General Subject Name : Diffusion. -- 
General Subject Name : Mathematical physics. -- 
General Subject Name : Quantum theory. -- 
General Subject Name : Physik. -- 
General Subject Name : SCIENCE --  Energy. -- 
General Subject Name : SCIENCE --  Mechanics --  General. -- 
General Subject Name : SCIENCE --  Physics --  General. -- 
General Subject Name : SCIENCE --  Physics --  Quantum Theory. -- 
General Subject Name : Diffusion. -- 
General Subject Name : Mathematical physics. -- 
General Subject Name : Quantum theory. -- 
Personal Author : Faris, William G., 1939-
기타형태 저록 : Print version: Faris, William G. Diffusion, Quantum Theory, and Radically Elementary Mathematics. (MN-47). Princeton : Princeton University Press, ©2014, 9780691125459
Language English
Original text
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