Titlebook: Real Analysis for the Undergraduate; With an Invitation t Matthew A. Pons Textbook 2014 Springer Science+Business Media New York 2014 Funct

拾落穗

Sequences and Series of Functions,ghtforward manner from the results covered there. The investigation of series of functions in the late eighteenth and early nineteenth centuries uncovered problems with the foundations of calculus which led to the restructuring of the subject and the birth of analysis as we know it today. Here we in

Perigee

The Riemann Integral,as was used previously by Cauchy; other mathematicians had used such sums before Cauchy for estimating integrals but not for calculating exact values. The method we present is cleaner from the technical point of view and is attributed to Darboux; this method employs the notions of upper and lower in

损坏

认为

含水层

,Sequences in ℝ,In this chapter we investigate the most basic concept of analysis, the limit of a sequence. The concepts of convergence and divergence will be the main focus of our discussion but we will also touch again on the notions of completeness and set structures in ..

牛的细微差别

Matthew A. PonsEngaging style makes complex concepts accessible to a broad audience.Examples and illustrations accompany formal proofs.Over 450 exercises help readers develop connections between the concrete and abs

PHIL

978-1-4939-4649-5Springer Science+Business Media New York 2014

场所

ordain

Numerical Series, most closely related to sequences, that is, a series of real numbers. The general idea is to provide a functional technique for summing an infinite string of values. For the most part, our focus here will be on convergence tests rather than on devising explicit means of summing a series.

nonsensical

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