Non-Archimedean Analysis: Quantum Paradoxes, Dynamical Systems and Biological Models

Overview

This work can be recommended as an extensive course on p-adic mathematics, treating subjects such as a p-adic theory of probability and shastic processes; spectral theory of operators in non-Archimedean Hilbert spaces; dynamic systems; p-adic fractal dimension, infinite-dimensional analysis and Feynman integration based on the Albeverio-Hoegh-Kröhn approach; both linear and nonlinear differential and pseudo-differential equations; complexity of random sequences and a p-adic ...
See more details below
Paperback (Softcover reprint of the original 1st ed. 1997)
$208.15
BN.com price
(Save 4%)$219.00 List Price
Other sellers (Paperback)
  • All (4) from $174.82   
  • New (3) from $174.82   
  • Used (1) from $256.62   
Sending request ...

Overview

This work can be recommended as an extensive course on p-adic mathematics, treating subjects such as a p-adic theory of probability and shastic processes; spectral theory of operators in non-Archimedean Hilbert spaces; dynamic systems; p-adic fractal dimension, infinite-dimensional analysis and Feynman integration based on the Albeverio-Hoegh-Kröhn approach; both linear and nonlinear differential and pseudo-differential equations; complexity of random sequences and a p-adic description of chaos.
Also, the present volume explores the unique concept of using fields of p-adic numbers and their corresponding non-Archimedean analysis, a p-adic solution of paradoxes in the foundations of quantum mechanics, and especially the famous Einstein-Podolsky-Rosen paradox to create an epistemological framework for scientific use.
Audience: This book will be valuable to postgraduate students and researchers with an interest in such diverse disciplines as mathematics, physics, biology and philosophy.
Read More Show Less

Editorial Reviews

Booknews
Khrennikov (Moscow Institute of Electronic Engineering) provides a course in

-adic mathematics for advanced students and researchers in math, physics, biology, and philosophy. Major topic headings encompass: fundamentals, non-Kolmogorov probability and quantum physics, position and momentum representations,

-adic dynamical systems with applications to biology and social sciences, and open problems in the field. A unique application of non-Archimedean solutions (e.g. to paradoxes in the foundations of quantum mechanics) is to create an epistemological framework for scientific use. Annotation c. by Book News, Inc., Portland, Or.
Read More Show Less

Product Details

  • ISBN-13: 9789401071642
  • Publisher: Springer Netherlands
  • Publication date: 7/31/2012
  • Series: Mathematics and Its Applications (closed) Series , #427
  • Edition description: Softcover reprint of the original 1st ed. 1997
  • Edition number: 1
  • Pages: 396
  • Product dimensions: 6.14 (w) x 9.21 (h) x 0.81 (d)

Table of Contents

I. Measurements and Numbers. II. Fundamentals. III. Non-Archimedean Analysis. IV. The Ultrametric Hilbert Space Description of Quantum Measurements with a Finite Exactness. V. Non-Kolmogorov Probability Theory. VI. Non-Kolmogorov Probability and Quantum Physics. VII. Position and Momentum Representations. VIII. p-adic Dynamical Systems with Applications to Biology and Social Sciences. Open Problems. Appendix. Bibliography. Index.
Read More Show Less

Customer Reviews

Be the first to write a review
( 0 )
Rating Distribution

5 Star

(0)

4 Star

(0)

3 Star

(0)

2 Star

(0)

1 Star

(0)

Your Rating:

Your Name: Create a Pen Name or

Barnes & Noble.com Review Rules

Our reader reviews allow you to share your comments on titles you liked, or didn't, with others. By submitting an online review, you are representing to Barnes & Noble.com that all information contained in your review is original and accurate in all respects, and that the submission of such content by you and the posting of such content by Barnes & Noble.com does not and will not violate the rights of any third party. Please follow the rules below to help ensure that your review can be posted.

Reviews by Our Customers Under the Age of 13

We highly value and respect everyone's opinion concerning the titles we offer. However, we cannot allow persons under the age of 13 to have accounts at BN.com or to post customer reviews. Please see our Terms of Use for more details.

What to exclude from your review:

Please do not write about reviews, commentary, or information posted on the product page. If you see any errors in the information on the product page, please send us an email.

Reviews should not contain any of the following:

  • - HTML tags, profanity, obscenities, vulgarities, or comments that defame anyone
  • - Time-sensitive information such as tour dates, signings, lectures, etc.
  • - Single-word reviews. Other people will read your review to discover why you liked or didn't like the title. Be descriptive.
  • - Comments focusing on the author or that may ruin the ending for others
  • - Phone numbers, addresses, URLs
  • - Pricing and availability information or alternative ordering information
  • - Advertisements or commercial solicitation

Reminder:

  • - By submitting a review, you grant to Barnes & Noble.com and its sublicensees the royalty-free, perpetual, irrevocable right and license to use the review in accordance with the Barnes & Noble.com Terms of Use.
  • - Barnes & Noble.com reserves the right not to post any review -- particularly those that do not follow the terms and conditions of these Rules. Barnes & Noble.com also reserves the right to remove any review at any time without notice.
  • - See Terms of Use for other conditions and disclaimers.
Search for Products You'd Like to Recommend

Recommend other products that relate to your review. Just search for them below and share!

Create a Pen Name

Your Pen Name is your unique identity on BN.com. It will appear on the reviews you write and other website activities. Your Pen Name cannot be edited, changed or deleted once submitted.

 
Your Pen Name can be any combination of alphanumeric characters (plus - and _), and must be at least two characters long.

Continue Anonymously

    If you find inappropriate content, please report it to Barnes & Noble
    Why is this product inappropriate?
    Comments (optional)