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Numbers and functions : steps into analysis

Author: R P Burn
Publisher: Cambridge ; New York : Cambridge University Press, 1993.
Edition/Format:   Print book : English : 1st pbk. ed. (with corrections)View all editions and formats
Summary:

The novel approach to rigorous analysis offered here is designed to enable students to grow in confidence and skill and thus overcome the traditional difficulties.

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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: R P Burn
ISBN: 0521457734 9780521457736 052141086X 9780521410861
OCLC Number: 30546583
Description: xxii, 328 pages : illustrations ; 23 cm
Contents: Introduction; Part I. Numbers: 1. Counting numbers and mathematical induction; 2. Order, arithmetic with inequalities; 3. Sequences, a first bite at infinity; 4. Completeness, what the rational numbers lack; 5. Series, infinite sums; Part II. Functions: 6. Functions and continuity: neighbourhoods, limits of functions; 7. Continuity and completeness, functions on intervals; 8. Derivatives, tangents; 9. Differentiation and completeness: mean value theorems; 10. Integration: the fundamental theorems, Taylor's theorem; 11. Indices and circle functions; 12. Sequences of functions.
Responsibility: R.P. Burn.
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."..any reader who works through a substantial number of the given questions would enhance considerably her/his mathematical knowledge...answers are given to almost all of the questionss, [so] even Read more...

 
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