Measure, Integral and Probability (Springer Undergraduate Mathematics Series)

Marek Capinski, Ekkehard Kopp

ISBN 10: 3540762604 / ISBN 13: 9783540762607

Verlag: Springer, 2000

Beschreibung

As new copy. A tight, bright, and clean copy with no inscriptions and no annotations/notes. No creases to spine/cover or foxing to pages. Fantastic condition book. 227pp. (17x23.5cm). Please contact us for any more information.

Bestandsnummer des Verkäufers 6986

Bibliografische Details

• Titel: Measure, Integral and Probability (Springer Undergraduate Mathematics Series)
• Verlag: Springer
• Erscheinungsjahr: 2000
• Sprache: Englisch
• ISBN-10: 3540762604
• ISBN-13: 9783540762607
• Einband: Soft cover
• Zustand: Fine
• Verkäuferkataloge:
  • Science
  • Mathematics

Über diesen Titel

Inhaltsangabe

The key concept is that of measure which is first developed on the real line and then presented abstractly to provide an introduction to the foundations of probability theory (the Kolmogorov axioms) which in turn opens a route to many illustrative examples and applications, including a thorough discussion of standard probability distributions and densities. Throughout, the development of the Lebesgue Integral provides the essential ideas: the role of basic convergence theorems, a discussion of modes of convergence for measurable functions, relations to the Riemann integral and the fundamental theorem of calculus, leading to the definition of Lebesgue spaces, the Fubini and Radon-Nikodym Theorems and their roles in describing the properties of random variables and their distributions. Applications to probability include laws of large numbers and the central limit theorem.