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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قائمة المحتويات
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.عن المؤلف
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.
لغة الإنجليزية ● شكل PDF ● صفحات 172 ● ISBN 9783319153650 ● الناشر Springer International Publishing ● مدينة Cham ● بلد CH ● نشرت 2015 ● للتحميل 24 الشهور ● دقة EUR ● هوية شخصية 4410024 ● حماية النسخ DRM الاجتماعية
المزيد من الكتب الإلكترونية من نفس المؤلف (المؤلفين) / محرر
2٬085 كتب إلكترونية في هذه الفئة
