Variational Analysis by R. Tyrrell Rockafellar & Roger J-B. 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 a comprehensive textbook on "optimization" and "variational analysis", blending theory and practical applications. The book introduces core concepts such as convex and nonconvex functions, subgradients, and set-valued mappings, providing a solid foundation for analyzing complex mathematical problems. It emphasizes rigorous definitions, proofs, and methods that are essential for graduate students and researchers in applied mathematics, economics, and operations research.
A key strength of the book is its unified approach to studying "stability", "sensitivity", and optimality conditions in both smooth and nonsmooth contexts. Readers learn to handle minimization problems, equilibria, and perturbations using modern variational techniques. The text combines deep theoretical insights with practical tools, making it valuable for both academic study and real-world applications.
With its structured exposition, exercises, and illustrative examples, "Variational Analysis" serves as a definitive reference for anyone exploring advanced "optimization" topics. It bridges classical optimization theory with contemporary approaches to nonsmooth problems, helping students and professionals develop a strong conceptual understanding while preparing them for research or applied work in mathematics, economics, and engineering.
Book Details & Specifications
Title:
Variational Analysis by R. Tyrrell Rockafellar & Roger J-B. 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 and Roger J-B Wets
The author R. Tyrrell Rockafellar and Roger J-B Wets
are renowned mathematicians specializing in "optimization", "variational analysis", and "convex analysis". Rockafellar is a pioneer in modern optimization theory, known for his work on duality, nonsmooth analysis, and mathematical rigor. Wets has contributed extensively to "stochastic optimization" and applied mathematics, bridging theory with practical problem-solving. Together, they co-authored "Variational Analysis", combining deep theoretical insights with real-world applications. Their work provides essential tools for graduate students, researchers, and professionals in "operations research", economics, and engineering, making complex mathematical concepts accessible, precise, and highly applicable.
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