Basic real analysis : along with a companion volume Advanced real analysis
著者
書誌事項
Basic real analysis : along with a companion volume Advanced real analysis
(Cornerstones)
Birkhäuser, c2005
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注記
Includes bibliographical references and index
内容説明・目次
内容説明
Systematically develop the concepts and tools that are vital to every mathematician, whether pure or applied, aspiring or established
A comprehensive treatment with a global view of the subject, emphasizing the connections between real analysis and other branches of mathematics
Included throughout are many examples and hundreds of problems, and a separate 55-page section gives hints or complete solutions for most.
目次
Theory of Calculus in One Real Variable.- Metric Spaces.- Theory of Calculus in Several Real Variables.- Theory of Ordinary Differential Equations and Systems.- Lebesgue Measure and Abstract Measure Theory.- Measure Theory for Euclidean Space.- Differentiation of Lebesgue Integrals on the Line.- Fourier Transform in Euclidean Space.- Lp Spaces.- Topological Spaces.- Integration on Locally Compact Spaces.- Hilbert and Banach Spaces.
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