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Fundamentals of mathematical analysis

By: Boules, Adel N.
Publisher: Oxford : Oxford University Press, 2021Description: xv, 462 p. ; ill., 24 cm.ISBN: 9780198868798.Subject(s): Mathematical analysis | Arzela-Ascoli theorem | Banach space | Bounded set | Caratheodary's theorem | Compact operator | Contraction mapping theorem | De Morgan's laws | Disjoint family | Egoroff's theorem | Finite-dimensional space | Fredholm alternative theorem | Gelfand's theorem | Hilbert space | Indexed set | Krein-Millman theorem | Lebesgue measure | Metric space | Nowhere dense set | Open set | Riemann integral | Space-filling curve | Topology | Uniqueness theorem | Vector spaceDDC classification: 515 Summary: This volume explores real and functional analysis with a substantial component on topology. The three leading chapters furnish background information on the real and complex number fields, a concise introduction to set theory, and a rigorous treatment of vector spaces.
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Includes bibliographical references and index.

This volume explores real and functional analysis with a substantial component on topology. The three leading chapters furnish background information on the real and complex number fields, a concise introduction to set theory, and a rigorous treatment of vector spaces.

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