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Measure and Integral
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Measure and Integral
紀錄類型:
書目-語言資料,印刷品 : Monograph/item
正題名/作者:
Measure and Integral/ by Martin Brokate, Götz Kersting.
作者:
Brokate, Martin.
其他作者:
Kersting, Götz.
面頁冊數:
VII, 172 p. 24 illus.online resource. :
Contained By:
Springer Nature eBook
標題:
Measure theory. -
電子資源:
https://doi.org/10.1007/978-3-319-15365-0
ISBN:
9783319153650
Measure and Integral
Brokate, Martin.
Measure and Integral
[electronic resource] /by Martin Brokate, Götz Kersting. - 1st ed. 2015. - VII, 172 p. 24 illus.online resource. - 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
Standard No.: 10.1007/978-3-319-15365-0doiSubjects--Topical Terms:
527848
Measure theory.
LC Class. No.: QA312-312.5
Dewey Class. No.: 515.42
Measure and Integral
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