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English [en], .fb2, 🚀/lgli/zlib, 1.5MB, 📘 Book (non-fiction), Little, Charles H.C., Teo, Kee L., van Brunt, Bruce - Real Analysis via Sequences and Series (Undergraduate Texts in Mathematics) (2021, Springer)
Real Analysis via Sequences and Series (Undergraduate Texts in Mathematics) 🔍
Springer, Undergraduate Texts in Mathematics, 2015, 2015
Little, Charles H.C., Teo, Kee L., van Brunt, Bruce 🔍
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.”
date open sourced
2021-05-16 (ol_source: 2021-10-02, isbndb_scrape: 2022-09-01, lgli_source: 2023-07-12, zlib_source: 2021-05-16)
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ISBN-13978-1-4939-2650-3 ISBN-101-4939-2650-0 Open LibraryOL34384974M Open LibraryOL25623344W Z-Library13966445 MD590f87b2ef1108576010c1d83e7d5466e Libgen.li File100673858 Libgen.li libgen_id4419693 LCCQA331.5QA292QA295
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