Coverart for item
The Resource The shapes of things : a practical guide to differential geometry and the shape derivative, Shawn W. Walker, Louisiana State University, Baton Rouge, Louisiana

The shapes of things : a practical guide to differential geometry and the shape derivative, Shawn W. Walker, Louisiana State University, Baton Rouge, Louisiana

Label
The shapes of things : a practical guide to differential geometry and the shape derivative
Title
The shapes of things
Title remainder
a practical guide to differential geometry and the shape derivative
Statement of responsibility
Shawn W. Walker, Louisiana State University, Baton Rouge, Louisiana
Creator
Contributor
Author
Publisher
Subject
Language
eng
Summary
Many things around us have properties that depend on their shape--for example, the drag characteristics of a rigid body in a flow. This self-contained overview of differential geometry explains how to differentiate a function (in the calculus sense) with respect to a "shape variable." This approach, which is useful for understanding mathematical models containing geometric partial differential equations (PDEs), allows readers to obtain formulas for geometric quantities (such as curvature) that are clearer than those usually offered in differential geometry texts. Readers will learn how to compute sensitivities with respect to geometry by developing basic calculus tools on surfaces and combining them with the calculus of variations. Several applications that utilize shape derivatives and many illustrations that help build intuition are included
Member of
Cataloging source
CaBNVSL
Index
index present
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
Series statement
Advances in design and control
Series volume
28
Target audience
adult
The shapes of things : a practical guide to differential geometry and the shape derivative, Shawn W. Walker, Louisiana State University, Baton Rouge, Louisiana
Label
The shapes of things : a practical guide to differential geometry and the shape derivative, Shawn W. Walker, Louisiana State University, Baton Rouge, Louisiana
Link
http://libproxy.rpi.edu/login?url=http://epubs.siam.org/doi/book/10.1137/1.9781611973969
Publication
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Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier MARC source
rdacarrier
Color
black and white
Content category
text
Content type MARC source
rdacontent
Contents
Preface -- Introduction -- Surfaces and differential geometry -- The fundamental forms of differential geometry -- Calculus on surfaces -- Shape differential calculus -- Applications -- Willmore flow -- Appendix A. Vectors and matrices -- Appendix B. Derivatives and integrals
http://library.link/vocab/cover_art
https://contentcafe2.btol.com/ContentCafe/Jacket.aspx?Return=1&Type=S&Value=9781611973969&userID=ebsco-test&password=ebsco-test
Dimensions
unknown
http://library.link/vocab/discovery_link
{'f': 'http://opac.lib.rpi.edu/record=b3672695'}
Extent
1 PDF (x, 152 pages).
File format
multiple file formats
Form of item
online
Isbn
9781611973969
Media category
electronic
Media MARC source
isbdmedia
Publisher number
DC28
Reformatting quality
access
Specific material designation
remote
System details
  • System requirements: Adobe Acrobat Reader
  • Mode of access: World Wide Web

Library Locations

    • Folsom LibraryBorrow it
      110 8th St, Troy, NY, 12180, US
      42.729766 -73.682577
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