Diffusion, quantum theory, and radically elementary mathematics /

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Bibliographic Details
Imprint:	Princeton : Princeton University Press, 2014.
Description:	1 online resource (257 pages)
Language:	English
Series:	Mathematical Notes Mathematical notes (Princeton University Press)
Subject:	Mathematical physics. Diffusion. Quantum theory. Diffusion. Mathematical physics. Quantum theory. Electronic books.
Format:	E-Resource Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/11276746

Hidden Bibliographic Details
Other authors / contributors:	Faris, William G., 1939-
ISBN:	9781400865253 1400865255
Notes:	In English. Print version record.
Summary:	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.
Other form:	Print version: Faris, William G. Diffusion, Quantum Theory, and Radically Elementary Mathematics. (MN-47). Princeton : Princeton University Press, ©2014 9780691125459
Standard no.:	10.1515/9781400865253

Table of 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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