Nonlinear Problems in Random Theory

Overview

A series of lectures on the role of nonlinear processes in physics, mathematics,electrical engineering, physiology, and communication theory.From the preface:"For some time I have been interested in a group of phenomena depending upon random processes. One the one hand, I have recorded the random shot effect as a suitable input for testing nonlinear circuits. On the other hand, for some of the work that Professor W. A. Rosenblith and I have been doing concerning the nature of the electroencephalogram, and in ...

See more details below
Other sellers (Paperback)
  • All (6) from $10.06   
  • New (4) from $10.06   
  • Used (2) from $14.37   
Sending request ...

Overview

A series of lectures on the role of nonlinear processes in physics, mathematics,electrical engineering, physiology, and communication theory.From the preface:"For some time I have been interested in a group of phenomena depending upon random processes. One the one hand, I have recorded the random shot effect as a suitable input for testing nonlinear circuits. On the other hand, for some of the work that Professor W. A. Rosenblith and I have been doing concerning the nature of the electroencephalogram, and in particular of the alpha rhythm, it has occurred to me to use the model of a system of random nonlinear oscillators excited by a random input.... At the beginning we had contemplated a series of only four or five lectures. My ideas developed pari passu with the course, and by the end of the term we found ourselves with a set of fifteen lectures. The last few of these were devoted to the application of my ideas to problems in the statistical mechanics of gases. This work is both new and tentative, and I found that I had to supplement my course by the writing over of these with the help of Professer Y. W. Lee. "

Read More Show Less

Product Details

  • ISBN-13: 9781614275107
  • Publisher: Martino Fine Books
  • Publication date: 11/1/2013
  • Pages: 142
  • Product dimensions: 6.14 (w) x 9.21 (h) x 0.33 (d)

Table of Contents

Foreword p.v
Preface p.vii
Lecture 1. The Random Function of Time and Phase p.1
Lecture 2. Homogeneous Polynomial Functionals and Their Averages p.16
Lecture 3. Orthogonal Functions p.28
Lecture 4. Orthogonal Functions and Autocorrelation Functions p.39
Lecture 5. Application to Frequency-Modulation Problems--I p.49
Lecture 6. Application to Frequency-Modulation Problems--II p.56
Lecture 7. Application to Frequency-Modulation Problems--III p.63
Lecture 8. Application to the Study of Brain Waves, Random Time, and Coupled Oscillators p.67
Lecture 9. Some Thoughts on Quantum Theory p.78
Lecture 10. Nonlinear Systems--I p.88
Lecture 11. Nonlinear Systems--II p.97
Lecture 12. Coding p.101
Lecture 13. Decoding p.101
Lecture 14. A New Approach to Statistical Mechanics--I p.118
Lecture 15. A New Approach to Statistical Mechanics--II p.123
Index p.129
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)