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Real Analysis
Gabriel Klambauer
出版Courier Corporation, 2005-11-03
主題Mathematics / Functional AnalysisMathematics / Calculus
ISBN04864452409780486445243
URLhttp://books.google.com.hk/books?id=OGr8AwAAQBAJ&hl=&source=gbs_api
EBookSAMPLE
註釋Concise in treatment and comprehensive in scope, this text for graduate students in mathematics introduces contemporary real analysis with a particular emphasis on integration theory.
The first four chapters, dealing with the Lebesgue theory of measure and integration of real functions, constitute a critical study of differential and integral calculus. Succeeding chapters treat abstract measure and integration theory, as well as topological and metric spaces, with an emphasis on topics that are most relevant to analysis. Additional subjects include a discussion of Stone's formulation of Daniell integration, culminating in the Riesz representation theorem, and an examination of normed linear spaces. Exercise sections appear at the end of each chapter and form an integral part of the text.