Nonlinear Mechanics: A Supplement to Theoretical Mechanics of Particles and Continua

Paperback (Print)
Used and New from Other Sellers
Used and New from Other Sellers
from $6.11
Usually ships in 1-2 business days
(Save 59%)
Other sellers (Paperback)
  • All (14) from $6.11   
  • New (10) from $7.34   
  • Used (4) from $6.11   


In their prior Dover book, Theoretical Mechanics of Particles and Continua, Alexander L. Fetter and John Dirk Walecka provided a lucid and self-contained account of classical mechanics, together with appropriate mathematical methods. This supplement — an update of that volume — offers a bridge to contemporary mechanics.
The original book's focus on continuum mechanics — with chapters on sound waves in fluids, surface waves on fluids, heat conduction, and viscous fluids — forms the basis for this supplement's discussion of nonlinear continuous systems. Topics include linearized stability analysis; a detailed examination of the Rayleigh-Bénard problem, from its formulation to issues of linearized theory of convective instability and expansion in Fourier modes; and the direct derivation of Lorenz equations for simple physical configuration. The first half of the original text deals with particle mechanics, and this supplement returns to the study of systems with a finite number of degrees of freedom. A concluding section presents a series of problems that reinforce the supplement's teachings.
Read More Show Less

Product Details

  • ISBN-13: 9780486450315
  • Publisher: Dover Publications
  • Publication date: 6/16/2006
  • Series: Dover Books on Physics Series
  • Pages: 160
  • Product dimensions: 6.16 (w) x 9.22 (h) x 0.33 (d)

Table of Contents

Part 1. Introduction
1. Motivation
Part 2. Nonlinear Continuous Systems
2. Linearized stability analysis
3. Rayleigh-Bénard problem: basic formulation
4. Rayleigh-Bénard problem: linearized theory of convective instability
5. Rayleigh-Bénard problem: expansion in Fourier modes
6. Lorenz equations: direct derivation for simple physical configuration
Part 3. Discrete Dynamical Systems
7. Example of a nonlinear oscillator
8. Phase-space dynamics and fixed points
9. Lorenz model
10. M odel finite-difference equation: logistic map
11. Liouville's theorem revisited
12. Action-angle variables revisited
13. Perturbation of periodic Hamiltonian systems
14. Coupled separable periodic Hamiltonian systems
Part 4. Problems
Read More Show Less

Customer Reviews

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

5 Star


4 Star


3 Star


2 Star


1 Star


Your Rating:

Your Name: Create a Pen Name or

Barnes & 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 & 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 & 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 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


  • - By submitting a review, you grant to Barnes & and its sublicensees the royalty-free, perpetual, irrevocable right and license to use the review in accordance with the Barnes & Terms of Use.
  • - Barnes & reserves the right not to post any review -- particularly those that do not follow the terms and conditions of these Rules. Barnes & 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 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)