Measure and Integration Theory

Heinz Bauer

2011 api. · De Gruyter Studies in Mathematics 26. liburua · Walter de Gruyter

Liburu elektronikoa

246

orri

Balorazioak eta iritziak ez daude egiaztatuta Lortu informazio gehiago

Liburu elektroniko honi buruz

This book gives a straightforward introduction to the field as it is nowadays required in many branches of analysis and especially in probability theory. The first three chapters (Measure Theory, Integration Theory, Product Measures) basically follow the clear and approved exposition given in the author's earlier book on "Probability Theory and Measure Theory". Special emphasis is laid on a complete discussion of the transformation of measures and integration with respect to the product measure, convergence theorems, parameter depending integrals, as well as the Radon-Nikodym theorem.

The final chapter, essentially new and written in a clear and concise style, deals with the theory of Radon measures on Polish or locally compact spaces. With the main results being Luzin's theorem, the Riesz representation theorem, the Portmanteau theorem, and a characterization of locally compact spaces which are Polish, this chapter is a true invitation to study topological measure theory.

The text addresses graduate students, who wish to learn the fundamentals in measure and integration theory as needed in modern analysis and probability theory. It will also be an important source for anyone teaching such a course.

Egileari buruz

Professor Heinz Bauer (1928--2002) was Professor at the Mathematical Institute of the Friedrich-Alexander-University Erlangen-Nürnberg, Erlangen, Germany.

Baloratu liburu elektroniko hau

Eman iezaguzu iritzia.

Irakurtzeko informazioa

Telefono adimendunak eta tabletak

Instalatu Android eta iPad/iPhone gailuetarako Google Play Liburuak aplikazioa. Zure kontuarekin automatikoki sinkronizatzen da, eta konexioarekin nahiz gabe irakurri ahal izango dituzu liburuak, edonon zaudela ere.

Ordenagailu eramangarriak eta mahaigainekoak

Google Play-n erositako audio-liburuak entzuteko aukera ematen du ordenagailuko web-arakatzailearen bidez.

Irakurgailu elektronikoak eta bestelako gailuak

Tinta elektronikoa duten gailuetan (adibidez, Kobo-ko irakurgailu elektronikoak) liburuak irakurtzeko, fitxategi bat deskargatu beharko duzu, eta hura gailura transferitu. Jarraitu laguntza-zentroko argibide xehatuei fitxategiak irakurgailu elektroniko bateragarrietara transferitzeko.

Salatu legez kanpoko edukia