Numbers and Functions: Steps to Analysis - Couverture rigide

Burn, R. P.

Couverture rigide

ISBN 10 : 052141086X ISBN 13 : 9780521410861

Editeur : Cambridge University Press, 1992

Synopsis

Book by Burn R P

A propos du livre

Présentation de l'éditeur

The transition from studying calculus in schools to studying mathematical analysis at university is notoriously difficult. In this book, Dr Burn follows a route that proved successful with A Pathway to Number Theory and Groups: A Path to Geometry. He invites the student reader to tackle each of the key concepts in turn, progressing from experience (using computers for graph drawing where appropriate) 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 by historical insight and complemented by historical discussion. The sequence also takes into account recent research which has shown how intuitive ideas about numbers, limits, functions and infinity may be at odds with the standard definitions. 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 questions at the beginning of 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.

Revue de presse

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

Détails de l'édition

• Éditeur: Cambridge University Press
• Date d'édition: 1992
• ISBN 10: 052141086X
• ISBN 13: 9780521410861
• Reliure: Relié
• Langue: anglais
• Nombre de pages: 352