Inhaltsangabe
This text is a single variable real analysis text, designed for the one-year course at the junior, senior, or beginning graduate level. It provides a rigorous and comprehensive treatment of the theoretical concepts of analysis. The book contains most of the topics covered in a text of this nature, but it also includes many topics not normally encountered in comparable texts. These include the Riemann-Stieltjes integral, the Lebesgue integral, Fourier series, the Weiestrass approximation theorem, and an introduction to normal linear spaces.
KEY TOPICS: The Real Number System; Sequence Of Real Numbers; Structure Of Point Sets; Limits And Continuity; Differentiation; The Riemann And Riemann-Stieltjes Integral; Series of Real Numbers; Sequences And Series Of Functions; Orthogonal Functions And Fourier Series; Lebesgue Measure And Integration; Logic and Proofs; Propositions and Connectives
MARKET: For all readers interested in real analysis.
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Introduction to Real Analysis
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Introduction to Real Analysis, 2nd edition
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Lebanon, Indiana, U.S.A.: Addison-Wesley, 2000
ISBN 10: 0321046250
ISBN 13: 9780321046253
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Introduction to Real Analysis, 2nd
Verlag:
Addison Wesley Longman, Boston, MA, 2000
ISBN 10: 0321046250
ISBN 13: 9780321046253
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