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02671nam a22004695i 4500 |
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978-3-319-15365-0 |
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DE-He213 |
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20210617103806.0 |
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150624s2015 gw | s |||| 0|eng d |
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|a 9783319153650
|9 978-3-319-15365-0
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|a 10.1007/978-3-319-15365-0
|2 doi
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|a QA312-312.5
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|a PBKL
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|a MAT034000
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|a PBKL
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|a 515.42
|2 23
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|a Brokate, Martin.
|e author.
|4 aut
|4 http://id.loc.gov/vocabulary/relators/aut
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|a Measure and Integral
|h [electronic resource] /
|c by Martin Brokate, Götz Kersting.
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|a 1st ed. 2015.
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|a Cham :
|b Springer International Publishing :
|b Imprint: Birkhäuser,
|c 2015.
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|a VII, 172 p. 24 illus.
|b online resource.
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|a text
|b txt
|2 rdacontent
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|a computer
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|a online resource
|b cr
|2 rdacarrier
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|a text file
|b PDF
|2 rda
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|a Compact Textbooks in Mathematics,
|x 2296-4568
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|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.
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|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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|a Measure theory.
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|a Measure and Integration.
|0 https://scigraph.springernature.com/ontologies/product-market-codes/M12120
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|a Kersting, Götz.
|e author.
|4 aut
|4 http://id.loc.gov/vocabulary/relators/aut
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2 |
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|a SpringerLink (Online service)
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|t Springer Nature eBook
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776 |
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|i Printed edition:
|z 9783319153667
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776 |
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|i Printed edition:
|z 9783319153643
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830 |
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|a Compact Textbooks in Mathematics,
|x 2296-4568
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|u https://doi.org/10.1007/978-3-319-15365-0
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|a ZDB-2-SMA
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|a ZDB-2-SXMS
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|a Mathematics and Statistics (SpringerNature-11649)
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|a Mathematics and Statistics (R0) (SpringerNature-43713)
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