Real Analysis
Material type: TextLanguage: English Publication details: Mineola: Dover Publications, 2005Description: 436ISBN:- 9780486445243
- 515.8 KLA
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515.7 RUD Functional Analysis | 515.724 ABR Problems In Operator Theory | 515.8 CHA Real Analysis | 515.8 KLA Real Analysis | 515.8 MCS Real Analysis | 515.83 MAR Problems in Calculus of One Variable | 515.9 BAT Special Functions and Complex Variables: (Engineering Mathematics III) |
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.
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