Measure and Integral
Author:   Martin Brokate ,  Götz Kersting
Publisher:   Birkhauser Verlag AG
Edition:   2015 ed.
ISBN:  

9783319153643


Pages:   172
Publication Date:   09 July 2015
Format:   Paperback
Availability:   In Print   Availability explained
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Measure and Integral


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Overview

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.

Full Product Details

Author:   Martin Brokate ,  Götz Kersting
Publisher:   Birkhauser Verlag AG
Imprint:   Birkhauser Verlag AG
Edition:   2015 ed.
Dimensions:   Width: 15.50cm , Height: 1.00cm , Length: 23.50cm
Weight:   2.818kg
ISBN:  

9783319153643


ISBN 10:   3319153641
Pages:   172
Publication Date:   09 July 2015
Audience:   College/higher education ,  Undergraduate
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

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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Author Information

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.

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