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Titlebook: Measure and Integral; Martin Brokate,G?tz Kersting Textbook 2015 Springer International Publishing Switzerland 2015 Hilbert space.Lebesgue

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發(fā)表于 2025-3-21 19:16:14 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱Measure and Integral
編輯Martin Brokate,G?tz Kersting
視頻videohttp://file.papertrans.cn/629/628053/628053.mp4
概述New arrangement of the subject matter with hands-on examples.Concise presentation of the material.Provides guidance and material for different variants of 2-hour courses.Focuses on the essentials of m
叢書名稱Compact Textbooks in Mathematics
圖書封面Titlebook: Measure and Integral;  Martin Brokate,G?tz Kersting Textbook 2015 Springer International Publishing Switzerland 2015 Hilbert space.Lebesgue
描述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.
出版日期Textbook 2015
關(guān)鍵詞Hilbert space; Lebesgue integral; integration theory; measure theory
版次1
doihttps://doi.org/10.1007/978-3-319-15365-0
isbn_softcover978-3-319-15364-3
isbn_ebook978-3-319-15365-0Series ISSN 2296-4568 Series E-ISSN 2296-455X
issn_series 2296-4568
copyrightSpringer International Publishing Switzerland 2015
The information of publication is updating

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The Integral of Nonnegative Functions,Given a measure μ on a measurable space ., we now define the integral for arbitrary measurable functions
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Uniqueness and Regularity of Measures,Uniqueness theorems in measure and integration theory serve to determine and identify measures.
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Multiple Integrals and Product Measures,It is not particularly surprising that one may integrate measurable functions multiply with respect to different variables. But it did irritate mathematicians like Cauchy that the result may depend on the sequential arrangement of the integrals. When computing derivatives this is usually not the case.
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