Skip to content
Register Sign in Wishlist

Ellipsoidal Harmonics
Theory and Applications

$100.00 ( ) USD

Part of Encyclopedia of Mathematics and its Applications

  • Date Published: June 2012
  • availability: This ISBN is for an eBook version which is distributed on our behalf by a third party.
  • format: Adobe eBook Reader
  • isbn: 9781139511841

$ 100.00 USD ( )
Adobe eBook Reader

You will be taken to ebooks.com for this purchase
Buy eBook Add to wishlist

Other available formats:
Hardback


Looking for an examination copy?

If you are interested in the title for your course we can consider offering an examination copy. To register your interest please contact collegesales@cambridge.org providing details of the course you are teaching.

Description
Product filter button
Description
Contents
Resources
Courses
About the Authors
  • The sphere is what might be called a perfect shape. Unfortunately, nature is imperfect and many bodies are better represented by an ellipsoid. The theory of ellipsoidal harmonics, originated in the nineteenth century, could only be seriously applied with the kind of computational power available in recent years. This, therefore, is the first book devoted to ellipsoidal harmonics. Topics are drawn from geometry, physics, biosciences and inverse problems. It contains classical results as well as new material, including ellipsoidal biharmonic functions, the theory of images in ellipsoidal geometry, and vector surface ellipsoidal harmonics, which exhibit an interesting analytical structure. Extended appendices provide everything one needs to solve formally boundary value problems. End-of-chapter problems complement the theory and test the reader’s understanding. The book serves as a comprehensive reference for applied mathematicians, physicists, engineers, and for anyone who needs to know the current state of the art in this fascinating subject.

    • Up to date with brand new results and material
    • Ideal for engineers and applied scientists who need to solve particular problems
    • May be used as a textbook for advanced undergraduate courses, graduate courses or special research topics
    Read more

    Customer reviews

    Not yet reviewed

    Be the first to review

    Review was not posted due to profanity

    ×

    , create a review

    (If you're not , sign out)

    Please enter the right captcha value
    Please enter a star rating.
    Your review must be a minimum of 12 words.

    How do you rate this item?

    ×

    Product details

    • Date Published: June 2012
    • format: Adobe eBook Reader
    • isbn: 9781139511841
    • contains: 32 b/w illus.
    • availability: This ISBN is for an eBook version which is distributed on our behalf by a third party.
  • Table of Contents

    Prologue
    1. The ellipsoidal system and its geometry
    2. Differential operators in ellipsoidal geometry
    3. Lamé functions
    4. Ellipsoidal harmonics
    5. The theory of Niven and Cartesian harmonics
    6. Integration techniques
    7. Boundary value problems in ellipsoidal geometry
    8. Connection between sphero-conal and ellipsoidal harmonics
    9. The elliptic functions approach
    10. Ellipsoidal bi-harmonic functions
    11. Vector ellipsoidal harmonics
    12. Applications to geometry
    13. Applications to physics
    14. Applications to low-frequency scattering theory
    15. Applications to bioscience
    16. Applications to inverse problems
    Epilogue
    Appendix A. Background material
    Appendix B. Elements of dyadic analysis
    Appendix C. Legendre functions and spherical harmonics
    Appendix D. The fundamental polyadic integral
    Appendix E. Forms of the Lamé equation
    Appendix F. Table of formulae
    Appendix G. Miscellaneous relations
    Bibliography
    Index.

  • Author

    George Dassios, University of Patras, Greece
    George Dassios is Professor of Applied Mathematics at the University of Patras, Greece and at ICE-FT/FORTH (a research institute in Greece).

Sign In

Please sign in to access your account

Cancel

Not already registered? Create an account now. ×

Sorry, this resource is locked

Please register or sign in to request access. If you are having problems accessing these resources please email lecturers@cambridge.org

Register Sign in
Please note that this file is password protected. You will be asked to input your password on the next screen.

» Proceed

You are now leaving the Cambridge University Press website. Your eBook purchase and download will be completed by our partner www.ebooks.com. Please see the permission section of the www.ebooks.com catalogue page for details of the print & copy limits on our eBooks.

Continue ×

Continue ×

Continue ×

Find content that relates to you

Join us online

This site uses cookies to improve your experience. Read more Close

Are you sure you want to delete your account?

This cannot be undone.

Cancel

Thank you for your feedback which will help us improve our service.

If you requested a response, we will make sure to get back to you shortly.

×
Please fill in the required fields in your feedback submission.
×