Articles liés à Writing Proofs in Analysis
Synopsis
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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À propos de l?auteur
Jonathan Michael Kane is an emeritus professor of Mathematical and Computer Sciences at the University of Wisconsin - Whitewater and an honorary fellow of the Department of Mathematics at the University of Wisconsin - Madison. He has published papers in several complex variables, probability, algorithms, and the relationship between gender and culture in mathematics performance. He has taught dozens of courses in mathematics, statistics, actuarial mathematics, and computer science. Dr. Kane plays a major role in contest mathematics by chairing the American Invitational Mathematics Exam Committee, cofounding and coordinating the annual online Purple Comet! Math Meet, and teaching at the AwesomeMath summer program.
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Writing Proofs in Analysis,
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Writing Proofs in Analysis
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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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Etat : 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. N° de réf. du vendeur 458621300
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Writing Proofs in Analysis
Edité par
Springer International Publishing, 2018
ISBN 10 : 3319809318
ISBN 13 : 9783319809311
Neuf
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Vendeur : AHA-BUCH GmbH, Einbeck, Allemagne
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Taschenbuch. Etat : 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. N° de réf. du vendeur 9783319809311
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Writing Proofs in Analysis
Edité par
Springer International Publishing Mai 2018, 2018
ISBN 10 : 3319809318
ISBN 13 : 9783319809311
Neuf
Taschenbuch
Vendeur : BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Allemagne
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Taschenbuch. Etat : 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. N° de réf. du vendeur 9783319809311
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Writing Proofs in Analysis
ISBN 10 : 3319809318
ISBN 13 : 9783319809311
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Paperback. Etat : Very Good. Ship within 24hrs. Satisfaction 100% guaranteed. APO/FPO addresses supported Softcover reprint of the original 1st ed. 2016. N° de réf. du vendeur 3319809318-8-1
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Writing Proofs in Analysis
ISBN 10 : 3319809318
ISBN 13 : 9783319809311
Neuf
Taschenbuch
Vendeur : buchversandmimpf2000, Emtmannsberg, BAYE, Allemagne
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Taschenbuch. Etat : Neu. 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.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 368 pp. Englisch. N° de réf. du vendeur 9783319809311
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Writing Proofs in Analysis
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Etat : New. pp. 367. N° de réf. du vendeur 382992777
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Writing Proofs in Analysis
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Etat : New. pp. 367. N° de réf. du vendeur 26379829846
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Writing Proofs in Analysis
Vendeur : Biblios, Frankfurt am main, HESSE, Allemagne
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Etat : New. pp. 367. N° de réf. du vendeur 18379829852
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