Measure and Integral

The Lebesgue integral is an essential tool in the fields of analysis and stochastics and for this reason, in many areas where mathematics is applied. This textbook is a concise, lecture-tested introduction to measure and integration theory. It addresses the important topics of this theory and presen...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Brokate, Martin (Autor), Kersting, Götz (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cham : Springer International Publishing : Imprint: Birkhäuser, 2015.
Edición:1st ed. 2015.
Colección:Compact Textbooks in Mathematics,
Temas:
Measure theory.
Measure and Integration.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • Preface
  • 1 Introduction
  • 2 Measurability
  • 3 Measures
  • 4 The Integral of Nonnegative Functions
  • 5 Integrable Functions
  • 6 Convergence
  • 7 Uniqueness and Regularity of Measures
  • 8 Multiple Integrals and Product Measures
  • 9 Absolute Continuity
  • 10 The Transformation Formula of Jacobi
  • 11 Construction of Measures
  • 12 Hilbert Spaces
  • 13 Banach Spaces
  • Literature.

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