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Englisch
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Beschreibung
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.
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.
Inhaltsverzeichnis
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.
Details
| Produktart: | Lernhilfen & Abiturwissen |
|---|---|
| Rubrik: | Schule & Lernen |
| Medium: | Taschenbuch |
| ISBN-13: | 9780128007310 |
| ISBN-10: | 0128007311 |
| Sprache: | Englisch |
| Herstellernummer: | C2013-0-15234-8 |
| Autor: | Ferrera, Juan |
| Hersteller: |
Academic Press
Elsevier Science & Technology |
| Maße: | 7 x 152 x 229 mm |
| Von/Mit: | Juan Ferrera |
| Gewicht: | 0,281 kg |
Inhaltsverzeichnis
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.
Details
| Produktart: | Lernhilfen & Abiturwissen |
|---|---|
| Rubrik: | Schule & Lernen |
| Medium: | Taschenbuch |
| ISBN-13: | 9780128007310 |
| ISBN-10: | 0128007311 |
| Sprache: | Englisch |
| Herstellernummer: | C2013-0-15234-8 |
| Autor: | Ferrera, Juan |
| Hersteller: |
Academic Press
Elsevier Science & Technology |
| Maße: | 7 x 152 x 229 mm |
| Von/Mit: | Juan Ferrera |
| Gewicht: | 0,281 kg |
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