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Measure and Integral

Brokate, Martin.

Measure and Integral

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Measure and Integralby Martin Brokate, Gotz Kersting.
作者:	Brokate, Martin.
其他作者:	Kersting, Gotz.
出版者:	Cham :Springer International Publishing :2015.
面頁冊數:	vii, 172 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
標題:	Measure theory.
電子資源:	http://dx.doi.org/10.1007/978-3-319-15365-0
ISBN:	9783319153650 (electronic bk.)

Measure and Integral
Brokate, Martin.

Measure and Integral[electronic resource] /by Martin Brokate, Gotz Kersting. - Cham :Springer International Publishing :2015. - vii, 172 p. :ill., digital ;24 cm. - Compact textbooks in mathematics,2296-4568. - Compact textbooks in mathematics..

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.

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.

ISBN: 9783319153650 (electronic bk.)

Standard No.: 10.1007/978-3-319-15365-0doiSubjects--Topical Terms:

182047
Measure theory.

LC Class. No.: QA312

Dewey Class. No.: 515.42

Measure and Integral
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520 $a 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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