Real Analysis 在线电子书 图书标签:
发表于2024-08-17
Real Analysis 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024
This text offers upper-level undergraduates and graduate students a survey of practical elements of real function theory, general topology, and functional analysis. Beginning with a brief discussion of proof and definition by mathematical induction, it freely uses these notions and techniques. The maximality principle is introduced early but used sparingly; an appendix provides a more thorough treatment. The notion of convergence is stated in basic form and presented initially in a general setting. The Lebesgue-Stieltjes integral is introduced in terms of the ideas of Daniell, measure-theoretic considerations playing only a secondary part. The final chapter, on function spaces and harmonic analysis, is deliberately accelerated. Helpful exercises appear throughout the text. 1959 ed.
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Real Analysis 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024