Diffusion, Quantum Theory, and Radically Elementary Mathematics

Language: English

Published by Princeton University Press, 2006

0691125457 / 9780691125459

Series: Book 13 of 37 - Mathematical Notes

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Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH

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nach der Bestellung gedruckt Neuware - Printed after ordering - 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. …

Seller Inventory # 9780691125459

Title
Diffusion, Quantum Theory, and Radically Elementary Mathematics
Author
William G. Faris
Publisher
Princeton University Press
Publication year
2006
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
0691125457
ISBN 13
9780691125459
Item weight
395 grams
Dimensions
234x156x15 mm
Series
Book 13 of 37: Mathematical Notes

AHA-BUCH GmbH

Einbeck, Germany

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AbeBooks seller since August 14, 2006

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