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Title: Measure and Integral ([EBook]) / by Martin Brokate, Götz Kersting. Dewey Class: 515.42 Author: Brokate, Martin. Added Personal Name: Kersting, Götz. author. Publication: Cham : : Springer International Publishing : : Imprint: Birkhäuser,, 2015. Other name(s): SpringerLink (Online service) Physical Details: VII, 172 p. 24 illus. : online resource. Series: Compact Textbooks in Mathematics,2296-4568 ISBN: 9783319153650 System details note: Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users). Summary Note: 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.: Contents note: 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. ------------------------------ *** Es sind keine Exemplare vorhanden *** -----------------------------------------------
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