Integration Theory - A Second Course
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BeschreibungThis book presents a very general approach to integration theory, as well as some advanced topics of the theory. It includes some new results but is also a self-contained introduction suitable for a graduate student doing self-study or an advanced course on integration theory.The book is divided into two parts. In the first part, integration theory is developed from the beginning in a general setting and for vector-valued functions which can hardly be found in other textbooks. The second part covers various topics related to integration theory, such as spaces of measurable functions, convolutions, famous paradoxes in connection with set theory, and extensions of formulas from elementary calculus to the setting of the Lebesgue integral.
InhaltsverzeichnisContents: Basic Integration Theory: Abstract Integration; Adding a Topological Structure: The Radon Measure; Adding a Group Structure: The Haar Measure; Advanced Topics: Spaces of Measurable Functions; Convolutions; Connections with Logic and Set Theory; Special Properties of the Lebesgue Measure; Miscellaneous.
Pressestimmen?Because of the original treatment and selection of topics, the book stands out among other books on the same subject."
Untertitel: Sprache: Englisch.
Verlag: WORLD SCIENTIFIC PUB CO INC
Erscheinungsdatum: August 2002
Seitenanzahl: 288 Seiten