Numbers and Functions: Steps to Analysis - Rilegato

Burn, R. P.

Rilegato

ISBN 10: 052141086X ISBN 13: 9780521410861

Casa editrice: Cambridge University Press, 1992

Riassunto

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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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.

Dettagli dell'edizione

• Editore: Cambridge University Press
• Data di pubblicazione: 1992
• Lingua: Inglese
• ISBN 10: 052141086X
• ISBN 13: 9780521410861
• Rilegatura: Copertina rigida
• Numero di pagine: 352
• Contatto del produttore: non disponibile
• Persona responsabile: Avery; https://www.avery.fr/; ; chemin des peupliers 27; Dardilly; Francia