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Home > Mathematics and Science Textbooks > Mathematics > Calculus and mathematical analysis > Functional analysis and transforms > Maa- Und Integrationstheorie: (Springer-Lehrbuch)
Maa- Und Integrationstheorie: (Springer-Lehrbuch)

Maa- Und Integrationstheorie: (Springer-Lehrbuch)


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About the Book

Dieses Lehrbuch vermittelt dem Leser ein solides Basiswissen, wie es fA1/4r weite Bereiche der Mathematik unerlAAlich ist, insbesondere fA1/4r die reelle Analysis, Funktionalanalysis, Wahrscheinlichkeitstheorie und mathematische Statistik. Thematische Schwerpunkte sind ProduktmaAe, Fourier-Transformation, Transformationsformel, Konvergenzbegriffe, absolute Stetigkeit und MaAe auf topologischen RAumen. HAhepunkte sind die Herleitung des Rieszschen Darstellungssatzes mit Hilfe eines Fortsetzungsresultats von Kisynski und der Beweis der Existenz und Eindeutigkeit des Haarschen MaAes. Ferner enthAlt das Buch einen Abschnitt A1/4ber Konvergenz von MaAen und den Satz von Prochorov. Der Text wird aufgelockert durch zahlreiche mathematikhistorische AusflA1/4ge und KurzportrAts von Mathematikern, die zum Thema des Buches wichtige BeitrAge geliefert haben. Eine Vielzahl von Aoebungsaufgaben vertieft den Stoff.

Review :
From the reviews of the fourth edition: "This book treats some central parts of real analysis which are of great importance for functional analysis and for probability theory. a ] is a big success in the community of those mathematicians who read German works. a ] My summary: This book is a comprehensive, nicely written treatise on central results with convincing proofs. Moreover, interesting details of the history of the subject are presented. a ] My opinion is that this is a very interesting book for students as well as for professional mathematicians." (Klaus Janssen, Mathematical Reviews, Issue 2008 g)


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Product Details
  • ISBN-13: 9783540499770
  • Publisher: Springer
  • Publisher Imprint: Springer
  • Language: German
  • Returnable: N
  • ISBN-10: 3540499776
  • Publisher Date: 01 Apr 2007
  • Binding: Paperback
  • No of Pages: 434
  • Series Title: Springer-Lehrbuch


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