Real Analysis via Sequences and Series is popular PDF and ePub book, written by Charles H.C. Little in 2015-05-28, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Real Analysis via Sequences and Series can be Read Online from any device for your convenience.
Real Analysis via Sequences and Series Book PDF Summary
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.
Detail Book of Real Analysis via Sequences and Series PDF
- Author : Charles H.C. Little
- Release : 28 May 2015
- Publisher : Springer
- ISBN : 9781493926510
- Genre : Mathematics
- Total Page : 476 pages
- Language : English
- PDF File Size : 10,9 Mb
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