Skip to content
Register Sign in Wishlist
Approximation Theory and Methods

Approximation Theory and Methods

$84.99 (X)

textbook
  • Date Published: March 1981
  • availability: Available
  • format: Paperback
  • isbn: 9780521295147

$ 84.99 (X)
Paperback

Add to cart Add to wishlist

Request examination copy

Instructors may request a copy of this title for examination

Description
Product filter button
Description
Contents
Resources
Courses
About the Authors
  • Most functions that occur in mathematics cannot be used directly in computer calculations. Instead they are approximated by manageable functions such as polynomials and piecewise polynomials. The general theory of the subject and its application to polynomial approximation are classical, but piecewise polynomials have become far more useful during the last twenty years. Thus many important theoretical properties have been found recently and many new techniques for the automatic calculation of approximations to prescribed accuracy have been developed. This book gives a thorough and coherent introduction to the theory that is the basis of current approximation methods. Professor Powell describes and analyses the main techniques of calculation supplying sufficient motivation throughout the book to make it accessible to scientists and engineers who require approximation methods for practical needs. Because the book is based on a course of lectures to third-year undergraduates in mathematics at Cambridge University, sufficient attention is given to theory to make it highly suitable as a mathematical textbook at undergraduate or postgraduate level.

    Reviews & endorsements

    "Of its kind, this book is excellent, perhaps the best." Journal of Classification

    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: March 1981
    • format: Paperback
    • isbn: 9780521295147
    • length: 352 pages
    • dimensions: 229 x 152 x 20 mm
    • weight: 0.52kg
    • availability: Available
  • Table of Contents

    Preface
    1. The approximation problem and existence of best approximations
    2. The uniqueness of best approximations
    3. Approximation operators and some approximating functions
    4. Polynomial interpolation
    5. Divided differences
    6. The uniform convergence of polynomial approximations
    7. The theory of minimax approximation
    8. The exchange algorithm
    9. The convergence of the exchange algorithm
    10. Rational approximation by the exchange algorithm
    11. Least squares approximation
    12. Properties of orthogonal polynomials
    13. Approximation of periodic functions
    14. The theory of best L1 approximation
    15. An example of L1 approximation and the discrete case
    16. The order of convergence of polynomial approximations
    17. The uniform boundedness theorem
    18. Interpolation by piecewise polynomials
    19. B-splines
    20. Convergence properties of spline approximations
    21. Knot positions and the calculation of spline approximations
    22. The Peano kernel theorem
    23. Natural and perfect splines
    24. Optimal interpolation
    Appendices
    Index.

  • Author

    M. J. D. Powell

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.
×