Willkommen, schön sind Sie da!
Logo Ex Libris

Introduction to Piecewise Differentiable Equations

  • Kartonierter Einband
  • 133 Seiten
(0) Erste Bewertung abgeben
Bewertungen & Rezensionen
(0)
(0)
(0)
(0)
(0)
Alle Bewertungen ansehen
Leseprobe
This brief provides an elementary introduction to the theory of piecewise differentiable functions with an emphasis on differentia... Weiterlesen
20%
78.00 CHF 62.40
Sie sparen CHF 15.60
Auslieferung erfolgt in der Regel innert 2 bis 4 Werktagen.
Bestellung & Lieferung in eine Filiale möglich

Beschreibung

This brief provides an elementary introduction to the theory of piecewise differentiable functions with an emphasis on differentiable equations. In the first chapter, two sample problems are used to motivate the study of this theory. The presentation is then developed using two basic tools for the analysis of piecewise differentiable functions: the Bouligand derivative as the nonsmooth analogue of the classical derivative concept and the theory of piecewise affine functions as the combinatorial tool for the study of this approximation function. In the end, the results are combined to develop inverse and implicit function theorems for piecewise differentiable equations.

This Introduction to Piecewise Differentiable Equations will serve graduate students and researchers alike. The reader is assumed to be familiar with basic mathematical analysis and to have some familiarity with polyhedral theory.



Introduces the theory of piecewise differentiable functions with an emphasis on piecewise differentiable equations Illustrates the relevance of the study via two sample problems



Klappentext

This brief provides an elementary introduction to the theory of piecewise differentiable functions with an emphasis on differentiable equations. In the first chapter, two sample problems are used to motivate the study of this theory. The presentation is then developed using two basic tools for the analysis of piecewise differentiable functions: the Bouligand derivative as the nonsmooth analogue of the classical derivative concept and the theory of piecewise affine functions as the combinatorial tool for the study of this approximation function. In the end, the results are combined to develop inverse and implicit function theorems for piecewise differentiable equations. This Introduction to Piecewise Differentiable Equations will serve graduate students and researchers alike. The reader is assumed to be familiar with basic mathematical analysis and to have some familiarity with polyhedral theory.



Inhalt
-1. Sample problems for nonsmooth equations. -2. Piecewise affline functions. -3. Elements from nonsmooth analysis. -4. Piecewise differentiable functions. -5. Sample applications.

Produktinformationen

Titel: Introduction to Piecewise Differentiable Equations
Autor:
EAN: 9781461443391
ISBN: 1461443393
Format: Kartonierter Einband
Herausgeber: Springer-Verlag GmbH
Genre: Mathematik
Anzahl Seiten: 133
Gewicht: 230g
Größe: H235mm x B155mm x T8mm
Jahr: 2012
Untertitel: Englisch
Auflage: 2012

Weitere Produkte aus der Reihe "SpringerBriefs in Optimization"