Calculus Without Derivatives

Calculus Without Derivatives expounds the foundations and recent advances in nonsmooth analysis, a powerful compound of mathematical tools that obviates the usual smoothness assumptions. This textbook also provides significant tools and methods towards applications, in particular optimization proble...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Penot, Jean-Paul (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York, NY : Springer New York : Imprint: Springer, 2013.
Edición:1st ed. 2013.
Colección:Graduate Texts in Mathematics, 266
Temas:
Mathematical analysis.
Functions of real variables.
Mathematical optimization.
System theory.
Control theory.
Functional analysis.
Mathematics.
Analysis.
Real Functions.
Optimization.
Systems Theory, Control .
Functional Analysis.
Applications of Mathematics.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • Preface
  • 1 Metric and Topological Tools
  • 2 Elements of Differential Calculus
  • 3 Elements of Convex Analysis
  • 4 Elementary and Viscosity Subdifferentials
  • 5 Circa-Subdifferentials, Clarke Subdifferentials
  • 6 Limiting Subdifferentials
  • 7 Graded Subdifferentials, Ioffe Subdifferentials
  • References
  • Index .

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