Modeling And Convexity Eduardo Souza De Cursi Rubens Sampaio by Eduardo Souza De Cursi, Rubens Sampaio 9781118622438, 9781848211773, 111862243X, 1848211775 instant download after payment.

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.Content:
Chapter 1 Curvilinear Continuous Media (pages 1–32): Eduardo Souza de Cursi, Rubens Sampaio and Piotr Breitkopf
Chapter 2 Unilateral System Dynamics (pages 33–52): Eduardo Souza de Cursi, Rubens Sampaio and Piotr Breitkopf
Chapter 3 A Simplified Model of Fusion/Solidification (pages 53–60): Eduardo Souza de Cursi, Rubens Sampaio and Piotr Breitkopf
Chapter 4 Minimization of a Non?Convex Function (pages 61–68): Eduardo Souza de Cursi, Rubens Sampaio and Piotr Breitkopf
Chapter 5 Simple Models of Plasticity (pages 69–76): Eduardo Souza de Cursi, Rubens Sampaio and Piotr Breitkopf
Chapter 6 Elements of Set Theory (pages 77–96): Eduardo Souza de Cursi, Rubens Sampaio and Piotr Breitkopf
Chapter 7 Real Hilbert Spaces (pages 97–200): Eduardo Souza de Cursi, Rubens Sampaio and Piotr Breitkopf
Chapter 8 Convex Sets (pages 201–252): Eduardo Souza de Cursi, Rubens Sampaio and Piotr Breitkopf
Chapter 9 Functionals on a Hilbert Space (pages 253–360): Eduardo Souza de Cursi, Rubens Sampaio and Piotr Breitkopf
Chapter 10 Optimization (pages 361–420): Eduardo Souza de Cursi, Rubens Sampaio and Piotr Breitkopf
Chapter 11 Variational Problems (pages 421–486): Eduardo Souza de Cursi, Rubens Sampaio and Piotr Breitkopf