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
大学図書館所蔵 全25件
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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