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Measure and Integral
Paperback
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Artikel-Nr:
9783319153643
Veröffentl:
2015
Einband:
Paperback
Erscheinungsdatum:
09.07.2015
Seiten:
180
Autor:
Götz Kersting
Gewicht:
283 g
Format:
235x155x11 mm
Serie:
Compact Textbooks in Mathematics
Sprache:
Englisch
Beschreibung:
Martin Brokate is Professor for Mathematical Modelling at TU Munich, Germany. Götz Kersting is Professor for Stochastics at the Goethe University in Frankfurt / Main, Germany.
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.
New arrangement of the subject matter with hands-on examples
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.