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 ...
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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 and e and a treatment of Newton's method as a special instance of finding fixed points of iterated functions.
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Add this copy of Real Analysis Via Sequences and Series to cart. $51.65, new condition, Sold by Ingram Customer Returns Center rated 5.0 out of 5 stars, ships from NV, USA, published 2016 by Springer.
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New. Print on demand Trade paperback (US). Glued binding. 476 p. Contains: Unspecified, Illustrations, black & white, Tables, black & white. Undergraduate Texts in Mathematics.
Add this copy of Real Analysis via Sequences and Series to cart. $75.14, new condition, Sold by Ingram Customer Returns Center rated 5.0 out of 5 stars, ships from NV, USA, published 2015 by Springer-Verlag New York Inc..
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Seller's Description:
New. Print on demand Contains: Illustrations, black & white. Undergraduate Texts in Mathematics . XI, 476 p. 27 illus. Intended for college/higher education audience.
