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"This is a well-written book with definitions embedded in the text-these are easily identified by bold type throughout the work. The theorems and proofs are set apart from the text and appear in boxes that follow discussions that motivate them. ... Summing Up: Recommended. Lower- and upper-division undergraduates; researchers and faculty." (J. R. Burke, Choice, Vol. 54 (7), March, 2017) "Its objective is to make the reader understand the thought processes behind the proofs. In this it succeeds admirable, and then book should be in every mathematical library, public and private. ... The book is excellently produced with many coloured diagrams." (P. S. Bullen, Mathematical Reviews, January, 2017) "I think this is indeed a fabulous book for the kind of course I just suggested. I think that it will indeed serve as Kane projects it should, and the surviving student will truly know a good deal about writing a mathematical proof, in fact, about thinking about the problems and assertions beforehand and then going about the task of constructing the proof." (Michael Berg, MAA Reviews, August, 2016)
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This is a textbook on proof writing in the area of analysis, balancing a survey of the core concepts of mathematical proof with a tight, rigorous examination of the specific tools needed for an understanding of analysis. Instead of the standard "transition" approach to teaching proofs, wherein students are taught fundamentals of logic, given some common proof strategies such as mathematical induction, and presented with a series of well-written proofs to mimic, this textbook teaches what a student needs to be thinking about when trying to construct a proof. Covering the fundamentals of analysis sufficient for a typical beginning Real Analysis course, it never loses sight of the fact that its primary focus is about proof writing skills. This book aims to give the student precise training in the writing of proofs by explaining exactly what elements make up a correct proof, how one goes about constructing an acceptable proof, and, by learning to recognize a correct proof, how to avoid writing incorrect proofs. To this end, all proofs presented in this text are preceded by detailed explanations describing the thought process one goes through when constructing the proof. Over 150 example proofs, templates, and axioms are presented alongside full-color diagrams to elucidate the topics at hand.
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- EditorialSpringer-Verlag GmbH
- Año de publicación2018
- ISBN 10 3319809318
- ISBN 13 9783319809311
- EncuadernaciónTapa blanda
- IdiomaInglés
- Número de páginas368
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Writing Proofs in Analysis,
Librería: Basi6 International, Irving, TX, Estados Unidos de America
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Writing Proofs in Analysis
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Springer (edition Softcover reprint of the original 1st ed. 2016), 2018
ISBN 10: 3319809318
ISBN 13: 9783319809311
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Paperback. Condición: Very Good. Ship within 24hrs. Satisfaction 100% guaranteed. APO/FPO addresses supported Softcover reprint of the original 1st ed. 2016. Nº de ref. del artículo: 3319809318-8-1
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Writing Proofs in Analysis
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Springer International Publishing Mai 2018, 2018
ISBN 10: 3319809318
ISBN 13: 9783319809311
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Librería: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Alemania
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Taschenbuch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This is a textbook on proof writing in the area of analysis, balancing a survey of the core concepts of mathematical proof with a tight, rigorous examination of the specific tools needed for an understanding of analysis. Instead of the standard 'transition' approach to teaching proofs, wherein students are taught fundamentals of logic, given some common proof strategies such as mathematical induction, and presented with a series of well-written proofs to mimic, this textbook teaches what a student needs to be thinking about when trying to construct a proof. Covering the fundamentals of analysis sufficient for a typical beginning Real Analysis course, it never loses sight of the fact that its primary focus is about proof writing skills.This book aims to give the student precise training in the writing of proofs by explaining exactly what elements make up a correct proof, how one goes about constructing an acceptable proof, and, by learning to recognize a correct proof, how to avoid writing incorrect proofs. To this end, all proofs presented in this text are preceded by detailed explanations describing the thought process one goes through when constructing the proof. Over 150 example proofs, templates, and axioms are presented alongside full-color diagrams to elucidate the topics at hand. 368 pp. Englisch. Nº de ref. del artículo: 9783319809311
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Writing Proofs in Analysis
Publicado por
Springer International Publishing, 2018
ISBN 10: 3319809318
ISBN 13: 9783319809311
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Librería: AHA-BUCH GmbH, Einbeck, Alemania
Calificación del vendedor: 5 de 5 estrellas
Taschenbuch. Condición: Neu. Druck auf Anfrage Neuware - Printed after ordering - This is a textbook on proof writing in the area of analysis, balancing a survey of the core concepts of mathematical proof with a tight, rigorous examination of the specific tools needed for an understanding of analysis. Instead of the standard 'transition' approach to teaching proofs, wherein students are taught fundamentals of logic, given some common proof strategies such as mathematical induction, and presented with a series of well-written proofs to mimic, this textbook teaches what a student needs to be thinking about when trying to construct a proof. Covering the fundamentals of analysis sufficient for a typical beginning Real Analysis course, it never loses sight of the fact that its primary focus is about proof writing skills.This book aims to give the student precise training in the writing of proofs by explaining exactly what elements make up a correct proof, how one goes about constructing an acceptable proof, and, by learning to recognize a correct proof, how to avoid writing incorrect proofs. To this end, all proofs presented in this text are preceded by detailed explanations describing the thought process one goes through when constructing the proof. Over 150 example proofs, templates, and axioms are presented alongside full-color diagrams to elucidate the topics at hand. Nº de ref. del artículo: 9783319809311
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Writing Proofs in Analysis
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Springer International Publishing, 2018
ISBN 10: 3319809318
ISBN 13: 9783319809311
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Librería: moluna, Greven, Alemania
Calificación del vendedor: 5 de 5 estrellas
Condición: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Teaches how to write proofs by describing what students should be thinking about when faced with writing a proofProvides proof templates for proofs that follow the same general structureBlends. Nº de ref. del artículo: 458621300
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Writing Proofs in Analysis
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Condición: New. pp. 367. Nº de ref. del artículo: 382992777
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Writing Proofs in Analysis
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Condición: New. pp. 367. Nº de ref. del artículo: 26379829846
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Writing Proofs in Analysis
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Writing Proofs in Analysis
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Paperback. Condición: New. New. book. Nº de ref. del artículo: ERICA80033198093186
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