Real Analysis (eBook)

Truman Arthur Botts, Edward James McShane (Autoren)

eBook Download: EPUB

2013
288 Seiten
Dover Publications (Verlag)
978-0-486-16567-7 (ISBN)

Infos

This text surveys practical elements of real function theory, general topology, and functional analysis. Discusses the maximality principle, the notion of convergence, the Lebesgue-Stieltjes integral, function spaces and harmonic analysis. Includes exercises. 1959 edition.

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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.

Produkt-Details

• Erscheint lt. Verlag: 7.11.2013
• Sprache: englisch
• Maße: 140 x 140 mm
• Gewicht: 308 g
• Themenwelt: Mathematik / Informatik ► Mathematik ► Analysis
• ISBN-10: 0-486-16567-1 / 0486165671
• ISBN-13: 978-0-486-16567-7 / 9780486165677