Real Analysis By: Edward James McShane Publisher: Dover Publications Print ISBN: 9780486442358, 0486442357 eText ISBN: 9780486165677, 0486165671 Pages: 288 Format: EPUB Available from $ 12.99 USD SKU: 9780486165677 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. SKU: 9780486442358 Download now: https://ebookscoffee.sellpass.io/products/Real-Analysis
