Shapes and Geometries
Analysis, Differential Calculus, and Optimization
Published on 1. January 1987
Book
Hardback
499 pages
978-0-89871-489-0 (ISBN)
Description
The tools to use for problems where the modeling, optimization, or control variable is the structure of a geometric object.
More details
Other editions
New editions
M. Delfour | J.-P. Zolesio
Shapes and Geometries
Metrics, Analysis, Differential Calculus, and Optimization
Book
12/2010
2nd Edition
Society for Industrial & Applied Mathematics,U.S.
€130.50
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Content
List of Figures; Preface; 1. Introduction; 2. Classical Descriptions and Properties of Domains; 3. Relaxation to Measurable Domains; 4. Topologies Generated by Distance Functions; 5. Oriented Distance Function and Smoothness of Sets; 6. Optimization of Shape Functions; 7. Transformations versus Flows of Velocities; 8. Shape Derivatives and Calculus, and Tangential Differential Calculus; 9. Shape Gradients under a State Equation Constraint; Elements of Bibliography; Index of Notation; Index.