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[资源]
2010英文新书:建模与凸性(Modeling and Convexity)
Modeling and Convexity
![2010英文新书:建模与凸性(Modeling and Convexity)]()
About this Book
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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You have free access to this contentFront Matter (pages i–xii)
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Part 1: Motivation - Examples and Applications
Chapter 1
Curvilinear Continuous Media (pages 1–32)
Eduardo Souza de Cursi, Rubens Sampaio and Piotr Breitkopf
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Chapter 2
Unilateral System Dynamics (pages 33–52)
Eduardo Souza de Cursi, Rubens Sampaio and Piotr Breitkopf
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Chapter 3
A Simplified Model of Fusion/Solidification (pages 53–60)
Eduardo Souza de Cursi, Rubens Sampaio and Piotr Breitkopf
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Chapter 4
Minimization of a Non-Convex Function (pages 61–68)
Eduardo Souza de Cursi, Rubens Sampaio and Piotr Breitkopf
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Chapter 5
Simple Models of Plasticity (pages 69–76)
Eduardo Souza de Cursi, Rubens Sampaio and Piotr Breitkopf
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Part 2: Theoretical Elements
Chapter 6
Elements of Set Theory (pages 77–96)
Eduardo Souza de Cursi, Rubens Sampaio and Piotr Breitkopf
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Chapter 7
Real Hilbert Spaces (pages 97–200)
Eduardo Souza de Cursi, Rubens Sampaio and Piotr Breitkopf
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Chapter 8
Convex Sets (pages 201–252)
Eduardo Souza de Cursi, Rubens Sampaio and Piotr Breitkopf
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Chapter 9
Functionals on a Hilbert Space (pages 253–360)
Eduardo Souza de Cursi, Rubens Sampaio and Piotr Breitkopf
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Chapter 10
Optimization (pages 361–420)
Eduardo Souza de Cursi, Rubens Sampaio and Piotr Breitkopf
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Chapter 11
Variational Problems (pages 421–486)
Eduardo Souza de Cursi, Rubens Sampaio and Piotr Breitkopf
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You have free access to this contentBibliography (pages 487–494)
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You have free access to this contentIndex (pages 495–503)
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