Real Analysis
基本信息·出版社:Dover Publications ·页码:288 页 ·出版日期:2005年04月 ·ISBN:0486442357 ·条形码:9780486442358 ·装帧:平装 ·正文语种: ...
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基本信息·出版社:Dover Publications
·页码:288 页
·出版日期:2005年04月
·ISBN:0486442357
·条形码:9780486442358
·装帧:平装
·正文语种:英语
·丛书名:Dover Books on Mathematics
·外文书名:实分析
内容简介 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.