J. Ferrera,
Juan Ferrera,
Juan (Universidad Complutense de Madrid, Spain) Ferrera
Elsevier Science
e druk, 2013
9780128007310
An Introduction to Nonsmooth Analysis
Specificaties
Paperback, blz.
|
Engels
Elsevier Science |
e druk, 2013
ISBN13: 9780128007310
Rubricering
Levertijd ongeveer 8 werkdagen
Samenvatting
Nonsmooth Analysis is a relatively recent area of mathematical analysis. The literature about this subject consists mainly in research papers and books. The purpose of this book is to provide a handbook for undergraduate and graduate students of mathematics that introduce this interesting area in detail.
Specificaties
Inhoudsopgave
1. Basic concepts and results: Upper and lower limits. Semicontinuity. Differentiability. Two important Theorems.2. Convex Functions: Convex sets and convex functions. Continuity of convex functions. Separation Results. Convexity and Differentiability. 3. The subdifferential of a Convex function: Subdifferential properties. Examples.4. The subdifferential. General case: Definition and basic properties. Geometrical meaning of the subdifferential. Density of subdifferentiability points. Proximal subdifferential 5. Calculus: Sum Rule. Constrained minima. Chain Rule. Regular functions: Elementary properties. Mean Value results. Decreasing Functions 6. Lipschitz functions and the generalized gradient: Lipschitz regular functions. The generalized gradient. Generalized Jacobian. Graphical derivative 7. Applications: Flow invariant sets. Viscosity solutions. Solving equations.