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Measure and Integral[electronic reso...

Brokate, Martin.

Measure and Integral[electronic resource] /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
杜威分類號:	515.42
書名/作者:	Measure and Integral/ by 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.
標題:	Integrals.
標題:	Mathematics.
標題:	Measure and Integration.
ISBN:	9783319153650 (electronic bk.)
ISBN:	9783319153643 (paper)
內容註:	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.
摘要、提要註:	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.
電子資源:	http://dx.doi.org/10.1007/978-3-319-15365-0

Measure and Integral[electronic resource] /
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:

495639
Measure theory.

LC Class. No.: QA312

Dewey Class. No.: 515.42

Measure and Integral[electronic resource] /
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505 0 $a 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.
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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