Skip to content
Register Sign in Wishlist
Shapes and Geometries

Shapes and Geometries
Metrics, Analysis, Differential Calculus, and Optimization

2nd Edition

$141.00 (P)

Part of Advances in Design and Control

  • Date Published: January 2011
  • availability: This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial & Applied Mathematics for availability.
  • format: Hardback
  • isbn: 9780898719369

$ 141.00 (P)

This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial & Applied Mathematics for availability.
Unavailable Add to wishlist

Looking for an examination copy?

This title is not currently available for examination. However, if you are interested in the title for your course we can consider offering an examination copy. To register your interest please contact providing details of the course you are teaching.

Product filter button
About the Authors
  • A self-contained presentation of the mathematical foundations, constructions and tools necessary for studying problems where the modeling, optimization or control variable is no longer a set of parameters or functions but the shape or the structure of a geometric object. This second edition presents the latest ground breaking theoretical foundation to shape optimization in a form that can used by the engineering and scientific communities. It also clearly explains the state-of-the-art developments in a mathematical language that will attract mathematicians to open questions in this important field. The area of research is very broad, rich and fascinating from both theoretical and numerical standpoints and this book reflects this exciting expanding field. This book will be of great importance to applied mathematicians, as well as advanced engineers and scientists working in this area.

    • Completely reworked and considerably enriched second edition
    • The material at the beginning of each chapter is accessible to a broad audience, while the subsequent sections may sometimes require more mathematical maturity
    • Some chapters are self-contained and can be used as lecture notes for short courses
    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

    • Edition: 2nd Edition
    • Date Published: January 2011
    • format: Hardback
    • isbn: 9780898719369
    • length: 646 pages
    • dimensions: 260 x 183 x 32 mm
    • weight: 1.27kg
    • availability: This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial & Applied Mathematics for availability.
  • Table of Contents

    List of figures
    1. Introduction: examples, background, and perspectives
    2. Classical descriptions of geometries and their properties
    3. Courant metrics on images of a set
    4. Transformations generated by velocities
    5. Metrics via characteristic functions
    6. Metrics via distance functions
    7. Metrics via oriented distance functions
    8. Shape continuity and optimization
    9. Shape and tangential differential calculuses
    10. Shape gradients under a state equation constraint
    Elements of bibliography
    Index of notation

  • Authors

    Michael C. Delfour, Université de Montréal
    M. C. Delfour is a Professor of Mathematics and Statistics at the University of Montreal in Canada, a member of the Canadian Academy of Sciences (FRSC), a former Guggenheim and Killam Fellow and a SIAM Fellow.

    Jean-Paul Zolésio, Centre National de la Recherche Scientifique (CNRS), Paris
    J.-P. Zolésio is Research Director in Mathematics at the CNRS. He is member of the Institut Non Linéaire de Nice (INLN) associated with the Institut National de Recherche en Informatique et Automatique (INRIA) In Sophia Antipolis (France).

Related Books

Sorry, this resource is locked

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

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 Please see the permission section of the catalogue page for details of the print & copy limits on our eBooks.

Continue ×

Continue ×

Continue ×
warning icon

Turn stock notifications on?

You must be signed in to your Cambridge account to turn product stock notifications on or off.

Sign in Create a Cambridge account arrow icon

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.


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.