Book Search:  

 

 
Google full text of our books:

bookjacket

Diffusion, Quantum Theory, and Radically Elementary Mathematics. (MN-47)
Edited by William G. Faris

Paperback | 2006 | $67.50 / £46.95 | ISBN: 9780691125459
256 pp. | 6 x 9 | 32 line illus.
| SHOPPING CART

eBook | ISBN: 9781400865253 |
Our eBook editions are available from these online vendors

Google full text of this book:
 

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.

Series:

  • Mathematical Notes
    Phillip A. Griffiths, John N. Mather, and Elias M. Stein, series editors

Subject Areas:

VISIT OUR MATH WEBSITE

Shopping Cart:

  • For ebooks:

Our eBook editions are available
from these online vendors:

  • Google Play eBook Store
  • Kno eBook Store
  • Many of our ebooks are available through
    library electronic resources including these platforms:

  • Books at JSTOR
  • Ebrary
  • Ebook Library
  • EBSCO Ebooks
  • MyiLibrary
  • Dawsonera (UK)

  • Shopping Cart:

    • For hardcover/paperback orders:

      For hardcover/paperback orders in the United States, Canada, Latin America, Asia, and Australia

      Paperback: $67.50 ISBN: 9780691125459

      For hardcover/paperback orders in Europe, Africa, the Middle East, and India, and Pakistan

      Paperback: £46.95 ISBN: 9780691125459

      Add to shopping cart

      Prices subject to change without notice

      File created: 11/10/2014

    Questions and comments to: webmaster@press.princeton.edu
    Princeton University Press

    New Book E-mails
    New In Print
    PUP Blog
    Videos/Audios
    Princeton APPS
    Sample Chapters
    Subjects
    Series
    Catalogs
    Princeton Legacy Library
    Textbooks
    Media/Reviewers
    Class Use
    Rights/Permissions
    Ordering
    Recent Awards
    Princeton Shorts
    Freshman Reading
    PUP Europe
    About Us
    Contact Us
    Links
    F.A.Q.
    MATH SITE
    PUP Home


    Bookmark and Share
    Send me emails
    about new books in:
    Mathematics
    Physics
    More Choices