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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