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Diffusion, Quantum Theory, and Radically Elementary Mathematics. (Mn-47) - (Mathematical Notes) by  William G Faris (Paperback) - 1 of 1

Diffusion, Quantum Theory, and Radically Elementary Mathematics. (Mn-47) - (Mathematical Notes) by William G Faris (Paperback)

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About this item

Highlights

  • 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.
  • About the Author: William G. Faris is Professor of Mathematics at the University of Arizona.
  • 256 Pages
  • Science, Physics
  • Series Name: Mathematical Notes

Description



Book Synopsis



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.



About the Author



William G. Faris is Professor of Mathematics at the University of Arizona.
Dimensions (Overall): 9.22 Inches (H) x 6.1 Inches (W) x .63 Inches (D)
Weight: .99 Pounds
Suggested Age: 22 Years and Up
Number of Pages: 256
Genre: Science
Sub-Genre: Physics
Series Title: Mathematical Notes
Publisher: Princeton University Press
Theme: Mathematical & Computational
Format: Paperback
Author: William G Faris
Language: English
Street Date: September 10, 2006
TCIN: 1011330483
UPC: 9780691125459
Item Number (DPCI): 247-08-4823
Origin: Made in the USA or Imported
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Shipping details

Estimated ship dimensions: 0.63 inches length x 6.1 inches width x 9.22 inches height
Estimated ship weight: 0.99 pounds
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Q: What themes are explored in the final chapter?

submitted by AI Shopping Assistant - 9 days ago
  • A: The final chapter explores the mathematical perspective on musical theory, connecting it to the book's main themes.

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Q: What series is this book part of?

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  • A: This book is part of the Mathematical Notes series published by Princeton University Press.

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Q: What is the main focus of the book?

submitted by AI Shopping Assistant - 9 days ago
  • A: The book focuses on diffusive motion and its connections to quantum theory and mathematical analysis.

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Q: Who is the author of this book?

submitted by AI Shopping Assistant - 9 days ago
  • A: The author is William G. Faris, a Professor of Mathematics at the University of Arizona.

    submitted byAI Shopping Assistant - 9 days ago
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Q: What is the suggested age for readers?

submitted by AI Shopping Assistant - 9 days ago
  • A: The book is suggested for readers aged 22 years and up.

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