Real Analysis Via Sequences and Series - Paperback

Real Analysis Via Sequences and Series - Paperback

$108.84
Sale price  $108.84 Regular price 
Skip to product information
Real Analysis Via Sequences and Series - Paperback

Real Analysis Via Sequences and Series - Paperback

$108.84
Sale price  $108.84 Regular price 

by Charles H. C. Little (Author), Kee L. Teo (Author), Bruce Van Brunt (Author)

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.

Back Jacket

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.

Author Biography

Charles Little, Teo Kee and Bruce van Brunt are professors of Mathematics at Massey University in New Zealand.

Number of Pages: 476
Dimensions: 0.99 x 9.21 x 6.14 IN
Illustrated: Yes
Publication Date: October 09, 2016

Intentional design

We make things that work better and last longer. Our products solve real problems with clean design.

Quality first

We obsess over the details and strive to deliver the best products at the best prices, every time.

Customer care

We're always on your side: keeping our loyal customers happy is our top priority and number one goal.

Feature 1

Made with care and unconditionally loved by our customers, this signature bestseller exceeds all expectations.

Feature 2

Made with care and unconditionally loved by our customers, this signature bestseller exceeds all expectations.

At the heart of every product lies a unique story, driven by our passion for quality and innovation. Each item enhances your everyday life and sparks joy.