Measure and Integral [electronic resource] / by Martin Brokate, Götz Kersting.

By:

Brokate, Martin [author.]

Contributor(s):

Series: Compact Textbooks in MathematicsPublisher: Cham : Springer International Publishing : Imprint: Birkhäuser, 2015Description: VII, 172 p. 24 illus. online resourceContent type:

text

Media type:

computer

Carrier type:

online resource

ISBN:

9783319153650

Subject(s):

Genre/Form:

Electronic books.

Additional physical formats: Printed edition:: No titleDDC classification:

515.42 23

LOC classification:

QA312-312.5

Online resources:

Click here to access online

Contents:

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.

In: Springer eBooksSummary: 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 presents additional results which establish connections to other areas of mathematics. The arrangement of the material should allow the adoption of this textbook in differently composed Bachelor programmes.

Item type:

eBooks

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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 presents additional results which establish connections to other areas of mathematics. The arrangement of the material should allow the adoption of this textbook in differently composed Bachelor programmes.

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