Variational Analysis by Tyrrell Rockafellar & Roger Wets
Variational Analysis - Table of Contents
- 1. Max and Min
- 2. Convexity
- 3. Cones and Cosmic Closure
- 4. Set Convergence
- 5. Set-Valued Mappings
- 6. Variational Geometry
- 7. Epigraphical Limits
- 8. Subderivatives and Subgradients
- 9. Lipschitzian Properties
- 10. Subdifferential Calculus
- 11. Dualization
- 12. Monotone Mappings
- 13. Second-Order Theory
- 14. Measurability
What You Will Learn in Variational Analysis
Variational Analysis by R. Tyrrell Rockafellar and Roger J-B Wets is the definitive comprehensive treatise on modern mathematical optimization, nonsmooth analysis, and set-valued mapping theory. Prepared for advanced graduate students, researchers, and applied mathematicians, this monograph unifies classical analysis with modern geometric variational principles.
The book systematically covers variational geometry, set convergence, subgradients, subdifferentials, epi-convergence, nonsmooth analysis, generalized derivatives, and variational inequalities. By replacing standard smoothness assumptions with robust set-theoretic frameworks, Rockafellar and Wets empower readers to analyze complex non-convex optimization problems and economic equilibrium models with mathematical precision.
Widely acclaimed across applied mathematics, control theory, operations research, and economics, this authoritative volume provides essential tools for solving modern non-smooth systems. The comprehensive exposition equips researchers to master variational analysis algorithms and advance theoretical research across complex engineering and analytical domains.
Book Details & Specifications
Title:
Variational Analysis by Tyrrell Rockafellar & Roger Wets
Publisher:
Springer
Year:
2010
Pages:
743
Type:
PDF
Language:
English
ISBN-10 #:
3540627723
ISBN-13 #:
9783540627722
License:
External University Resource
Amazon:
Amazon
About the Author: R. Tyrrell Rockafellar
The author R. Tyrrell Rockafellar
is Emeritus Professor of Mathematics at the University of Washington and a world-renowned pioneer in convex analysis, optimization theory, and mathematical finance.
Roger J-B Wets is Emeritus Professor of Mathematics at the University of California, Davis, widely celebrated for his fundamental contributions to stochastic programming and variational analysis.
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