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Convexity is a central concept in Applied Sciences and Engineering. It is central to the mathematical formalization of many physical phenomena and a large number of numerical procedures depend upon it. For example, convex analysis tools are involved in the modeling of mechanical systems containing unilateral constraints (contact, friction, plasticity, etc.), in the definition of constitutive relations of materials, and in variational and optimization methods. This reference work gives the reader a complete and comprehensive presentation of the foundations of convex analysis and includes applications of practical significance and importance in engineering. The presentation of the theory is self-contained and 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.

... Date : May 2010. Hardcover 528 pp. 215.00 USD ... Modeling and Convexity: Amazon.it: Eduardo Souza De Cursi ... ... . Co-publisher. Description. This reference book gives to the reader a complete but comprehensive presentation of the foundations of convex analysis and presents applications to significant situations ... Modeling and Convexity. Book · January 2010 with 65 Reads How we measure 'reads' A 'read' is counted each time someone views a publication summary (such as the title, abstract, and list of ... The examples consider meaningful situation ... Convexity (finance) - Wikipedia ... ... 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. In mathematical finance, convexity refers to non-linearities in a financial model.In other words, if the price of an underlying variable changes, the price of an output does not change linearly, but depends on the second derivative (or, loosely speaking, higher-order terms) of the modeling function.Geometrically, the model is no longer flat but curved, and the degree of curvature is called the ... Get this from a library! Modeling and convexity. [Eduardo Souza de Cursi; Rubens Sampaio] -- Convexity is a central concept in Applied Sciences and Engineering. It is central to the mathematical formalization of many physical phenomena and a large number of numerical procedures depend upon ... Analysts and traders are blaming a highly technical, though increasingly familiar, culprit for dramatic plunges in U.S. Treasury interest rates. The terms they use -- "negative convexity" and ... Название: Modeling and Convexity Автор: Eduardo Souza de Cursi Издательство: John Wiley & Sons Limited Жанр: Техническая литература Серия: isbn: 9781118622391. isbn: 0. Аннотация: This reference book gives the reader a complete ...