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Numbers and Functions By R. P. Burn (University of Exeter)

Numbers and Functions

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In this second edition of Numbers and Functions, the reader is invited to tackle each of the key concepts of mathematical analysis in turn, progressing from experience through a structured sequence of several hundred problems to concepts, definitions and proofs of classical real analysis.
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Numbers and Functions Summary


Numbers and Functions: Steps into Analysis by R. P. Burn (University of Exeter)

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.

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Numbers and Functions Reviews


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

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.

Additional information

GOR001922595
Numbers and Functions: Steps into Analysis by R. P. Burn (University of Exeter)
R. P. Burn (University of Exeter)
Used - Very Good
Paperback
Cambridge University Press
2000-08-28
382
0521788366
9780521788366
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
This is a used book - there is no escaping the fact it has been read by someone else and it will show signs of wear and previous use. Overall we expect it to be in very good condition, but if you are not entirely satisfied please get in touch with us.