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Cover: 9780128007310 | An Introduction to Nonsmooth Analysis | Juan Ferrera | Taschenbuch
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An Introduction to Nonsmooth Analysis
Taschenbuch von Juan Ferrera
Sprache: 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
preigu-id: 126703144
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
preigu-id: 126703144
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