Real Analysis via Sequences and Series

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 sophisti...

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Những tác giả chính:	Little, Charles, Kee, Teo, van Brunt, Bruce
Định dạng:	Sách
Ngôn ngữ:	English
Được phát hành:	Springer 2015
Những chủ đề:	Mathematical analysis Functions of real variables Sequences (Mathematics)
Truy cập trực tuyến:	https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/57456
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id	oai:scholar.dlu.edu.vn:DLU123456789-57456
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spelling	oai:scholar.dlu.edu.vn:DLU123456789-574562023-11-11T05:45:36Z Real Analysis via Sequences and Series Little, Charles Kee, Teo van Brunt, Bruce Mathematical analysis Functions of real variables Sequences (Mathematics) 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. 2015-08-14T03:20:00Z 2015-08-14T03:20:00Z 2015 Book 978-1-4939-2651-0 https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/57456 en application/pdf Springer
institution	Thư viện Trường Đại học Đà Lạt
collection	Thư viện số
language	English
topic	Mathematical analysis Functions of real variables Sequences (Mathematics)
spellingShingle	Mathematical analysis Functions of real variables Sequences (Mathematics) Little, Charles Kee, Teo van Brunt, Bruce Real Analysis via Sequences and Series
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.
format	Book
author	Little, Charles Kee, Teo van Brunt, Bruce
author_facet	Little, Charles Kee, Teo van Brunt, Bruce
author_sort	Little, Charles
title	Real Analysis via Sequences and Series
title_short	Real Analysis via Sequences and Series
title_full	Real Analysis via Sequences and Series
title_fullStr	Real Analysis via Sequences and Series
title_full_unstemmed	Real Analysis via Sequences and Series
title_sort	real analysis via sequences and series
publisher	Springer
publishDate	2015
url	https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/57456
_version_	1819797940311425024

Real Analysis via Sequences and Series

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