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.
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विषयसूची
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.लेखक के बारे में
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.
भाषा अंग्रेज़ी ● स्वरूप PDF ● पेज 172 ● ISBN 9783319153650 ● प्रकाशक Springer International Publishing ● शहर Cham ● देश CH ● प्रकाशित 2015 ● डाउनलोड करने योग्य 24 महीने ● मुद्रा EUR ● आईडी 4410024 ● कॉपी सुरक्षा सामाजिक DRM
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