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Measure and Integral

Martin Brokate, Götz Kersting (Autoren)

Buch | Softcover

VII, 172 Seiten

2015 | 2015
Springer International Publishing (Verlag)
978-3-319-15364-3 (ISBN)

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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.

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.

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.

Erscheint lt. Verlag	9.7.2015
Reihe/Serie	Compact Textbooks in Mathematics
Zusatzinfo	VII, 172 p. 24 illus.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Gewicht	292 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
Schlagworte	hilbert space • Integration Theory • Lebesgue integral • measure theory
ISBN-10	3-319-15364-1 / 3319153641
ISBN-13	978-3-319-15364-3 / 9783319153643
Zustand	Neuware