Elementary Analysis through Examples and Exercises

Name: Elementary Analysis through Examples and Exercises
SKU: 2801098
Price: 288.99 AUD
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Texts in the Mathematical Sciences

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Description

This volume on mathematical analysis offers a set of both traditional and new examples, and exercises with detailed solutions. It includes many topics important in current research. It begins with a comparison of real numbers viewed as a totally ordered field or, alternatively, constructed using the Dedekind cut method. Properties surrounding real numbers are explored and many interesting relationships are proven using mathematical induction. Functions are then developed with special emphasis on topics such as asymptotics, n-levels of composition and periodicity of certain functions. Sequences and series for both the discrete and continuous case are concurrently developed showing contrast wherever possible. The order of growth for sequences diverging to infinity is incorporated with its counterpart given for functions. The usual properties of functions, together with their limit theory including the differential calculus are compared carefully with examples illustrating their fundamental properties. The graphs of these functions are then closely studied giving as much detail as possible for a wide variety of functions.

Release date Australia

June 30th, 1995

Author

Audiences

Postgraduate, Research & Scholarly
Professional & Vocational

Illustrations

1 Illustrations, black and white; IX, 321 p. 1 illus.

Pages

321

Series

Texts in the Mathematical Sciences

Dimensions

156x234x19

ISBN-13

9780792335979

Product ID

2801098

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Elementary Analysis through Examples and Exercises

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