名称: | |
描述: | |
公开/私有: | 公开 私有 |
Measure and integral / |
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ISBN/ISSN:
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9787560380896 |
语种:
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eng |
中图分类法
:
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O174.12 |
著者:
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Brokate, Martin, |
题名:
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Measure and integral / |
其它题名:
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测度与积分 |
载体形态:
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iii, 185, x pages : illustrations ; 25 cm. |
内容提要:
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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. |
主题词:
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Measure theory. |
主题词:
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Integrals. |
主要责任者:
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Kersting, Go?tz, |
标签:
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相关主题:
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相关资源:
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分享资源:
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HEA| |02137nam a2200349 i 4500 001| |022021000175 003| |CAL 005| |20210526084132.9 008| |210525r20192015cc a b 001 0 eng d 020| |▼a9787560380896▼qpaperback 040| |▼aSCU▼beng▼cSCU▼erda▼dSCT 041|1 |▼aeng▼achi▼hger 093| |▼aO174.12▼25 099| |▼aCAL 022019109402▼aCAL 022020011893 100|1 |▼aBrokate, Martin,▼d1953-▼eauthor. 240|10|▼aMa? und Integral.▼lEnglish 245|10|▼aMeasure and integral /▼cMart- | |in Brokate, Gotz Kersting = 测度- | |与积分 / [德] 马丁·布罗凯特, [德] 格茨·柯斯汀著- | |. 246|31|▼a测度与积分 264| 1|▼a哈尔滨 :▼bHarbin Institute of T- | |echnology Press,▼c2019. 300| |▼aiii, 185, x pages :▼billustr- | |ations ;▼c25 cm. 336| |▼atext▼btxt▼2rdacontent 337| |▼aunmediated▼bn▼2rdamedia 338| |▼avolume▼bnc▼2rdacarrier 490|0 |▼aHIT国外优秀数学著作原版系列 504| |▼aIncludes bibliographical ref- | |erences (page 169) and index. 505|0 |▼a1. Introduction -- 2. Measur- | |ability -- 3. Measures -- 4. T- | |he Integral of Nonnegative Fun- | |ctions -- 5. Integrable Functi- | |ons -- 6. Convergence -- 7. Un- | |iqueness and Regularity of Mea- | |sures -- 8. Multiple Integrals- | | and Product Measures -- 9. Ab- | |solute Continuity -- 10. The J- | |acobi Transformation Formula -- | |- 11. Construction of Measures- | | -- 12. Hilbert Spaces -- 13. - | |Banach Spaces -- Literature. 520| |▼aThe Lebesgue integral is an - | |essential tool in the fields o- | |f analysis and stochastics and- | | for this reason, in many area- | |s where mathematics is applied- | |. This textbook is a concise, - | |lecture-tested introduction to- | | measure and integration theor- | |y. It addresses the important - | |topics of this theory and pres- | |ents additional results which - | |establish connections to other- | | areas of mathematics. The arr- | |angement of the material shoul- | |d allow the adoption of this t- | |extbook in differently compose- | |d Bachelor programmes. 534| |▼pReprint. Originally publishe- | |d:▼cSwitzerland : Springer Int- | |ernational Publishing AG, 2015. 650| 0|▼aMeasure theory. 650| 0|▼aIntegrals. 700|1 |▼aKersting, Go?tz,▼eauthor. 998| |▼aSCU