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Inhaltsangabe
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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Críticas
."..any reader who works through a substantial number of the given questions would enhance considerably her/his mathematical knowledge...answers are given to almost all of the questionss, [so] even the person who just reads the book and checks out the details of an answer would probably benefit...I believe that a serious student of mathematics (and even some teachers of mathematics) would find conscientious study of this book of considerable value." Bob Prielipp, School Science & Mathematics
Reseña del editor
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.
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Numbers and Functions: Steps to Analysis
Verlag:
Cambridge University Press (edition ), 1994
ISBN 10: 0521457734
ISBN 13: 9780521457736
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Numbers and Functions: Steps to Analysis
Verlag:
Cambridge University Press, 1994
ISBN 10: 0521457734
ISBN 13: 9780521457736
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Numbers and Functions: Steps to Analysis
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Cambridge University Press, 1994
ISBN 10: 0521457734
ISBN 13: 9780521457736
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Numbers and Functions: Steps to Analysis
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ISBN 13: 9780521457736
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Numbers and Functions: Steps to Analysis
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Paperback. Zustand: Very Good. Numbers and Functions: Steps to Analysis This book is in very good condition and will be shipped within 24 hours of ordering. The cover may have some limited signs of wear but the pages are clean, intact and the spine remains undamaged. This book has clearly been well maintained and looked after thus far. Money back guarantee if you are not satisfied. See all our books here, order more than 1 book and get discounted shipping. Bestandsnummer des Verkäufers 7719-9780521457736
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Numbers and Functions: Steps to Analysis
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Cambridge University Press, 1994
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ISBN 13: 9780521457736
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Paperback. Zustand: Very Good. Connecting readers with great books since 1972! Used books may not include companion materials, and may have some shelf wear or limited writing. We ship orders daily and Customer Service is our top priority! Bestandsnummer des Verkäufers S_448637051
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Numbers and Functions: Steps to Analysis
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Cambridge University Press, United Kingdom, Cambridge, 1993
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ISBN 13: 9780521457736
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Paperback. Zustand: Very Good. 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. The book has been read, but is in excellent condition. Pages are intact and not marred by notes or highlighting. The spine remains undamaged. Bestandsnummer des Verkäufers GOR006319651
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Numbers and Functions: Steps to Analysis
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Paperback. Zustand: Very Good. This book is in very good condition and will be shipped within 24 hours of ordering. The cover may have some limited signs of wear but the pages are clean, intact and the spine remains undamaged. This book has clearly been well maintained and looked after thus far. Money back guarantee if you are not satisfied. See all our books here, order more than 1 book and get discounted shipping. Bestandsnummer des Verkäufers 6545-9780521457736
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