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Measure and Integral
Taschenbuch von Götz Kersting (u. a.)
Sprache: Englisch

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Beschreibung
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.
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.
Über den Autor
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.
Zusammenfassung

New arrangement of the subject matter with hands-on examples

Concise presentation of the material

Provides guidance and material for different variants of 2-hour courses

Focuses on the essentials of measure and integration theory

Includes supplementary material: [...]

Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: 2015
Fachbereich: Analysis
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Seiten: 180
Reihe: Compact Textbooks in Mathematics
Inhalt: vii
172 S.
24 s/w Illustr.
172 p. 24 illus.
ISBN-13: 9783319153643
ISBN-10: 3319153641
Sprache: Englisch
Herstellernummer: 978-3-319-15364-3
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Kersting, Götz
Brokate, Martin
Auflage: 2015
Hersteller: Springer International Publishing
Compact Textbooks in Mathematics
Maße: 235 x 155 x 11 mm
Von/Mit: Götz Kersting (u. a.)
Erscheinungsdatum: 09.07.2015
Gewicht: 0,283 kg
preigu-id: 104926015
Über den Autor
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.
Zusammenfassung

New arrangement of the subject matter with hands-on examples

Concise presentation of the material

Provides guidance and material for different variants of 2-hour courses

Focuses on the essentials of measure and integration theory

Includes supplementary material: [...]

Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: 2015
Fachbereich: Analysis
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Seiten: 180
Reihe: Compact Textbooks in Mathematics
Inhalt: vii
172 S.
24 s/w Illustr.
172 p. 24 illus.
ISBN-13: 9783319153643
ISBN-10: 3319153641
Sprache: Englisch
Herstellernummer: 978-3-319-15364-3
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Kersting, Götz
Brokate, Martin
Auflage: 2015
Hersteller: Springer International Publishing
Compact Textbooks in Mathematics
Maße: 235 x 155 x 11 mm
Von/Mit: Götz Kersting (u. a.)
Erscheinungsdatum: 09.07.2015
Gewicht: 0,283 kg
preigu-id: 104926015
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