Eduardo Souza de Cursi, Rubens Sampaio, "Modeling and Convexity"
English | 2010 | ISBN-10: 1848211775 | 528 pages | PDF | 5,9 MB
This reference book gives the reader a complete but comprehensive presentation of the foundations of convex analysis and presents applications to significant situations in engineering. The presentation of the theory is self-contained and the proof of all the essential results is given. The examples consider meaningful situations such as the modeling of curvilinear structures, the motion of a mass of people or the solidification of a material. Non convex situations are considered by means of relaxation methods and the connections between probability and convexity are explored and exploited in order to generate numerical algorithms.
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