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This monograph presents some fundamentals in measure theory and integration. Specifically, it is intended to make such fundamentals available in an appropriate less abstract form to be useful in many applications, like real analysis, integration, and functional analysis. The principal point of view is to develop the basics of measure theory that lead to the concept of measurable functions and the integration of such functions. The elements are intended to be essentially self contained and accessible to well-trained under graduated students. The prerequisites are elementary standards from basic…mehr

Produktbeschreibung
This monograph presents some fundamentals in measure theory and integration. Specifically, it is intended to make such fundamentals available in an appropriate less abstract form to be useful in many applications, like real analysis, integration, and functional analysis. The principal point of view is to develop the basics of measure theory that lead to the concept of measurable functions and the integration of such functions. The elements are intended to be essentially self contained and accessible to well-trained under graduated students. The prerequisites are elementary standards from basic algebra. In writing this note, we care about doing things as little abstract as possible. So, to make easy the access to the main concepts, each section of each chapter is illustrated by simple examples
Autorenporträt
Lakhdar Meziani is presently a Mathematics Professor at the Batna University, Algiers with more than 45 years spent in Teaching, Research and Supervision.He got a Ph.D from Paris 6 University, France. He taught Mathematical Statistics at the INSERM institute, under the Direction of Professor Phillipe Lazar.