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The Shape of Things
Shawn Walker
€ 106.22
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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 have properties that depend on their shape, such as the drag characteristics of a rigid body in a flow. This self-contained overview of differential geometry explains how to differentiate a function with respect to a 'shape variable'. This approach, useful for understanding mathematical models containing geometric 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 geometric sensitivities by developing basic calculus on surfaces alongside calculus of variations, aided by plenty of applications and illustrations. This book, a convenient ... Read more
Many things have properties that depend on their shape, such as the drag characteristics of a rigid body in a flow. This self-contained overview of differential geometry explains how to differentiate a function with respect to a 'shape variable'. This approach, useful for understanding mathematical models containing geometric 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 geometric sensitivities by developing basic calculus on surfaces alongside calculus of variations, aided by plenty of applications and illustrations. This book, a convenient ... Read more
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
162
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 ... Read more
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