---

＜電子ブック＞
Measure and Integral / by Martin Brokate, Götz Kersting
(Compact Textbooks in Mathematics. ISSN:2296455X)

版	1st ed. 2015.
出版者	(Cham : Springer International Publishing : Imprint: Birkhäuser)
出版年	2015
本文言語	英語
大きさ	VII, 172 p. 24 illus : online resource
著者標目	*Brokate, Martin author Kersting, Götz author SpringerLink (Online service)
件　名	LCSH:Measure theory FREE:Measure and Integration
一般注記	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 HTTP:URL=https://doi.org/10.1007/978-3-319-15365-0

 類似資料