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 edition.
Choosing a Book Format
EPUB is the standard publishing format used by many e-book readers including iBooks, Easy Reader, VoiceDream Reader, etc. This is the most popular and widely used format.
DAISY format is used by GoRead, Read2Go and most Kurzweil devices.
Audio (MP3) format is used by audio only devices, such as iPod.
Braille format is used by Braille output devices.
DAISY Audio format works on DAISY compatible players such as Victor Reader Stream.
Accessible Word format can be unzipped and opened in any tool that supports .docx files.