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The Shape of Things
Shawn Walker
€ 118.13
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Description for The Shape of Things
Paperback. A differential geometry-based guide to understanding mathematical models which feature an underlying geometry which evolves in time. Series: Advances in Design and Control. Num Pages: 162 pages. BIC Classification: PBKJ; PBKS; PBP; UY. Category: (U) Tertiary Education (US: College). Dimension: 247 x 174. .
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.
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.
Product Details
Format
Paperback
Publication date
2015
Publisher
Society for Industrial & Applied Mathematics,U.S. United States
Number of pages
162
Condition
New
Number of Pages
163
Place of Publication
New York, United States
ISBN
9781611973952
SKU
V9781611973952
Shipping Time
Usually ships in 7 to 11 working days
Ref
99-1
About Shawn Walker
Shawn Walker is an assistant professor of mathematics at Louisiana State University (LSU), with a joint appointment in the Center for Computation and Technology (CCT). He held a postdoctoral position at the Courant Institute (New York University) and joined the LSU faculty in 2010 in the computational mathematics group. He is a member of SIAM, AMS, MRS, and APS. His research interests include PDEs for fluids and moving/free boundaries, geometric evolution problems, numerical analysis and finite element methods, mesh generation, and optimal PDE control of shape.
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