Real Analysis via Sequences and Series (Undergraduate Texts in Mathematics)
Little, Charles H.C.; Teo, Kee L.; Van Brunt, Bruce
ISBN 10: 1493926500 ISBN 13: 9781493926503
Published by Springer, 2015
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Hardcover
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Ria Christie Collections, Uxbridge, United Kingdom
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In English. Seller Inventory # ria9781493926503_new
Synopsis:
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.
About the Author: Charles Little, Teo Kee and Bruce van Brunt are professors of Mathematics at Massey University in New Zealand.
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Bibliographic Details
Title: Real Analysis via Sequences and Series (...
Publisher: Springer
Publication Date: 2015
Binding: Hardcover
Condition: New