Martin Brokate,
Gotz Kersting,
Götz Kersting
Springer International Publishing
e druk, 2015
9783319153643
Measure and Integral
Specificaties
Paperback, 150 blz.
|
Engels
Springer International Publishing |
e druk, 2015
ISBN13: 9783319153643
Rubricering
Onderdeel van serie
Compact Textbooks in Mathematics
Verwachte levertijd ongeveer 9 werkdagen
Samenvatting
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.
Specificaties
ISBN13:9783319153643
Taal:Engels
Bindwijze:paperback
Aantal pagina's:150
Uitgever:Springer International Publishing
Inhoudsopgave
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.