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shileijerry

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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
SummaryPDF(1216K)Request Permissions

Chapter 2
Unilateral System Dynamics (pages 33–52)
Eduardo Souza de Cursi, Rubens Sampaio and Piotr Breitkopf
SummaryPDF(1011K)Request Permissions

Chapter 3
A Simplified Model of Fusion/Solidification (pages 53–60)
Eduardo Souza de Cursi, Rubens Sampaio and Piotr Breitkopf
SummaryPDF(598K)Request Permissions

Chapter 4
Minimization of a Non-Convex Function (pages 61–68)
Eduardo Souza de Cursi, Rubens Sampaio and Piotr Breitkopf
SummaryPDF(408K)Request Permissions

Chapter 5
Simple Models of Plasticity (pages 69–76)
Eduardo Souza de Cursi, Rubens Sampaio and Piotr Breitkopf
SummaryPDF(321K)Request Permissions
Part 2: Theoretical Elements

Chapter 6
Elements of Set Theory (pages 77–96)
Eduardo Souza de Cursi, Rubens Sampaio and Piotr Breitkopf
SummaryPDF(225K)Request Permissions

Chapter 7
Real Hilbert Spaces (pages 97–200)
Eduardo Souza de Cursi, Rubens Sampaio and Piotr Breitkopf
SummaryPDF(788K)Request Permissions

Chapter 8
Convex Sets (pages 201–252)
Eduardo Souza de Cursi, Rubens Sampaio and Piotr Breitkopf
SummaryPDF(465K)Request Permissions

Chapter 9
Functionals on a Hilbert Space (pages 253–360)
Eduardo Souza de Cursi, Rubens Sampaio and Piotr Breitkopf
SummaryPDF(848K)Request Permissions

Chapter 10
Optimization (pages 361–420)
Eduardo Souza de Cursi, Rubens Sampaio and Piotr Breitkopf
SummaryPDF(561K)Request Permissions

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)
SummaryPDF(74K)ReferencesRequest Permissions
You have free access to this contentIndex (pages 495–503)
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