Numbers and Functions: Steps to Analysis - Brossura

Burn, R. P.

 
9780521457736: Numbers and Functions: Steps to Analysis

Sinossi

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.

Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.

Descrizione del libro

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. Teachers in sixth forms will find that the beginning questions in every chapter provide ways of preparing those at school for university mathematics. Lecturers in universities will be challenged to rethink their conventions about the best way to introduce the central ideas of analysis to undergraduates.

Contenuti

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.

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Altre edizioni note dello stesso titolo

9780521410861: Numbers and Functions: Steps to Analysis

Edizione in evidenza

ISBN 10:  052141086X ISBN 13:  9780521410861
Casa editrice: Cambridge University Press, 1992
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