New Directions in Linear Acoustics and Vibration: Quantum Chaos, Random Matrix Theory and Complexity

Hardcover (Print)
Buy New
Buy New from
Used and New from Other Sellers
Used and New from Other Sellers
from $99.79
Usually ships in 1-2 business days
(Save 39%)
Other sellers (Hardcover)
  • All (8) from $99.79   
  • New (6) from $99.79   
  • Used (2) from $164.98   


The field of acoustics is of immense industrial and scientific importance. The subject is built on the foundations of linear acoustics, which is widely regarded as so mature that it is fully encapsulated in the physics texts of the 1950s. This view was changed by developments in physics such as the study of quantum chaos. Developments in physics throughout the last four decades, often equally applicable to both quantum and linear acoustic problems but overwhelmingly more often expressed in the language of the former, have explored this. There is a significant new amount of theory that can be used to address problems in linear acoustics and vibration, but only a small amount of reported work does so. This book is an attempt to bridge the gap between theoreticians and practitioners, as well as the gap between quantum and acoustic. Tutorial chapters provide introductions to each of the major aspects of the physical theory and are written using the appropriate terminology of the acoustical community. The book will act as a quick-start guide to the new methods while providing a wide-ranging introduction to the physical concepts.

Read More Show Less

Product Details

  • ISBN-13: 9780521885089
  • Publisher: Cambridge University Press
  • Publication date: 7/26/2010
  • Pages: 284
  • Product dimensions: 7.20 (w) x 10.10 (h) x 1.00 (d)

Meet the Author

Richard Weaver is a Professor of Physics at the University of Illinois at Urbana-Champaign. He received an A.B. degree in physics from Washington University in St Louis in 1971 and a Ph.D. in astrophysics from Cornell University in 1977. After postdoctoral research in elastic wave propagation and ultrasonics at Cornell, he moved to the Department of Theoretical and Applied Mechanics at the University of Illinois. His research is in stochastic linear acoustics, with applications to structural vibrations, condensed matter physics, quantum chaos, and seismology. He was elected a Fellow of the Acoustical Society of America in 1996. He received the Hetényi Award from the Society for Experimental Mechanics in 2004 and the Eötvös Award from the European Association of Geoscientists and Engineers in 2009. He is an associate editor of the Journal of the Acoustical Society of America. He joined the Department of Physics in 2006.

Matthew Wright is Senior Lecturer in Acoustics at the Institute of Sound and Vibration Research (ISVR). His B.Eng. was in Engineering Acoustics and Vibration and his Ph.D. was in Volterra series characterization and identification of nonlinear bioacoustic systems, both from the University of Southampton. His research interests include flow control for drag and noise reduction, turbofan inlet design, aeroacoustic theory, and violin acoustics, windfarm noise and the neuroscience of hearing. He is a Fellow of the Institute of Acoustics, a Fellow of the Institute of Mathematics and its Applications, a Senior Member of the American Institute of Aeronautics and Astronautics, a Member of the Acoustical Society of America, and book reviews editor of the Journal of Sound and Vibration. He is editor and co-author of Lecture Notes on the Mathematics of Acoustics. In 2002 he was awarded an Advanced Research Fellowship by the UK's Engineering and Physical Sciences Research Council to study periodic orbits in sound and vibration, one of the results of which is this book.

Read More Show Less

Table of Contents

1. Semiclassical trace formula M. C. M. Wright; 2. Wave chaos O. Legrand and F. Mortessagne; 3. Random matrix theory R. L. Weaver; 4. Gaussian random wave fields M. R. Dennis; 5. Short periodic orbit theory E. G. Vergini and G. G. Carlo; 6. Chaotic wave scattering J. P. Keating and M. Novaes; 7. Elastic plate vibrations N. Søndergaard; 8. Mesoscopics in acoustics R. L. Weaver; 9. Diagrammatic methods J. A. Turner and G. Ghoshal; 10. Time-reversed waves M. Fink; 11. Ocean acoustics S. Tomsovic and M. Brown; 12. Mesoscopic seismic waves M. Campillo and L. Margerin; 13. Random matrices in structural acoustics C. Soize; 14. Built-up engineering systems R. S. Langley.

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)