Real Analysis via Sequences and Series (Undergraduate Texts in Mathematics) 2015th Edition by Charles H.C. Little (PDF)

Description

This text gives a rigorous treatment of the foundations of calculus. In contrast to more traditional approaches, infinite sequences and series are placed at the forefront. The approach taken has not only the merit of simplicity, but students are well placed to understand and appreciate more sophisticated concepts in advanced mathematics. The authors mitigate potential difficulties in mastering the material by motivating definitions, results and proofs. Simple examples are provided to illustrate new material and exercises are included at the end of most sections. Noteworthy topics include: an extensive discussion of convergence tests for infinite series, Wallis’s formula and Stirling’s formula, proofs of the irrationality of π and e and a treatment of Newton’s method as a special instance of finding fixed points of iterated functions.

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐Very intersting book but for real analysis – “This text gives a rigorous treatment of the foundations of calculus.” [Maybe – depeinding on how you define ‘calculus’] – “In contrast to more traditional approaches, infinite sequences and series are placed at the forefront.” [This is great – Newton used this method without proof and it worked out well for him] – “Simple examples … proofs of the irrationality of π and e” [not simple – particularly a proof of e] – make of it what you will.

⭐Very good, I love it.

Keywords

Free Download Real Analysis via Sequences and Series (Undergraduate Texts in Mathematics) 2015th Edition in PDF format
Real Analysis via Sequences and Series (Undergraduate Texts in Mathematics) 2015th Edition PDF Free Download
Download Real Analysis via Sequences and Series (Undergraduate Texts in Mathematics) 2015th Edition 2015 PDF Free
Real Analysis via Sequences and Series (Undergraduate Texts in Mathematics) 2015th Edition 2015 PDF Free Download
Download Real Analysis via Sequences and Series (Undergraduate Texts in Mathematics) 2015th Edition PDF
Free Download Ebook Real Analysis via Sequences and Series (Undergraduate Texts in Mathematics) 2015th Edition