Introduction to Measure and Integration

Erscheinungsjahr 2008
ISBN: 978-0-521-09804-5
Verlag: Cambridge University Press

Buch, Englisch, 275 Seiten, Format (B × H): 152 mm x 229 mm, Gewicht: 452 g

This paperback, which comprises the first part of Introduction to Measure and Probability by J. F. C. Kingman and S. J. Taylor, gives a self-contained treatment of the theory of finite measures in general spaces at the undergraduate level. It sets the material out in a form which not only provides an introduction for intending specialists in measure theory but also meets the needs of students of probability. The theory of measure and integration is presented for general spaces, with Lebesgue measure and the Lebesgue integral considered as important examples whose special properties are obtained. The introduction to functional analysis which follows covers the material to probability theory and also the basic theory of L2-spaces, important in modern physics. A large number of examples is included; these form an essential part of the development.

Autoren/Hrsg.

Taylor, S. J.

Fachgebiete

• Mathematik | Informatik Mathematik Stochastik Mathematische Statistik
• Mathematik | Informatik Mathematik Stochastik Wahrscheinlichkeitsrechnung

Inhaltsverzeichnis

Preface; 1. Theory of sets; 2. Point set topology; 3. Set functions; 4. Construction and properties of measure; 5. Definitions and properties of the integral; 6. Related Spaces and measures; 7. The space of measurable functions; 8. Linear functionals; 9. Structure of measures in special spaces; Index of notation; General index.