Numbers and Functions: Steps into Analysis
Author:   R. P. Burn (University of Exeter)
Publisher:   Cambridge University Press
Edition:   2nd Revised edition
ISBN:  

9780511755248


Publication Date:   06 July 2010
Format:   Undefined
Availability:   Available To Order   Availability explained
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Numbers and Functions: Steps into Analysis


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Overview

The transition from studying calculus in schools to studying mathematical analysis at university is notoriously difficult. In this second edition of Numbers and Functions, Dr Burn invites the student reader to tackle each of the key concepts in turn, progressing from experience through a structured sequence of several hundred problems to concepts, definitions and proofs of classical real analysis. The sequence of problems, which all have solutions supplied, draws students into constructing definitions and theorems for themselves. This natural development is informed and complemented by historical insight. 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.

Full Product Details

Author:   R. P. Burn (University of Exeter)
Publisher:   Cambridge University Press
Imprint:   Cambridge University Press (Virtual Publishing)
Edition:   2nd Revised edition
ISBN:  

9780511755248


ISBN 10:   0511755244
Publication Date:   06 July 2010
Audience:   College/higher education ,  Tertiary & Higher Education
Format:   Undefined
Publisher's Status:   Active
Availability:   Available To Order   Availability explained
We have confirmation that this item is in stock with the supplier. It will be ordered in for you and dispatched immediately.

Table of Contents

1. The 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; 6. Functions and continuity: neighbourhoods, limits of functions; 7. Continuity and completeness: functions on intervals; 8. Derivatives: tangents; 9. Differentiation and completness: mean value theorems, Taylor's theorem; 10. Integration: the fundamental theorem of calculus; 11. Indices and circle functions; 12. Sequences of functions; Appendices.

Reviews

' ... an excellent guide through the basic course of mathematical analysis at university.' EMS


' … an excellent guide through the basic course of mathematical analysis at university.' EMS


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