Measure and Integral

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 presen...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριοι συγγραφείς: Brokate, Martin (Συγγραφέας), Kersting, Götz (Συγγραφέας)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Cham : Springer International Publishing : Imprint: Birkhäuser, 2015.
Σειρά:Compact Textbooks in Mathematics,
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
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020 |a 9783319153650  |9 978-3-319-15365-0 
024 7 |a 10.1007/978-3-319-15365-0  |2 doi 
040 |d GrThAP 
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100 1 |a Brokate, Martin.  |e author. 
245 1 0 |a Measure and Integral  |h [electronic resource] /  |c by Martin Brokate, Götz Kersting. 
264 1 |a Cham :  |b Springer International Publishing :  |b Imprint: Birkhäuser,  |c 2015. 
300 |a VII, 172 p. 24 illus.  |b online resource. 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
347 |a text file  |b PDF  |2 rda 
490 1 |a Compact Textbooks in Mathematics,  |x 2296-4568 
505 0 |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. 
520 |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. 
650 0 |a Mathematics. 
650 0 |a Measure theory. 
650 1 4 |a Mathematics. 
650 2 4 |a Measure and Integration. 
700 1 |a Kersting, Götz.  |e author. 
710 2 |a SpringerLink (Online service) 
773 0 |t Springer eBooks 
776 0 8 |i Printed edition:  |z 9783319153643 
830 0 |a Compact Textbooks in Mathematics,  |x 2296-4568 
856 4 0 |u http://dx.doi.org/10.1007/978-3-319-15365-0  |z Full Text via HEAL-Link 
912 |a ZDB-2-SMA 
950 |a Mathematics and Statistics (Springer-11649)