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The Resource Writing proofs in analysis, Jonathan M. Kane
Writing proofs in analysis, Jonathan M. Kane
Resource Information
The item Writing proofs in analysis, Jonathan M. Kane represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.This item is available to borrow from all library branches.
Resource Information
The item Writing proofs in analysis, Jonathan M. Kane represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.
This item is available to borrow from all library branches.
 Summary
 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 wellwritten 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 fullcolor diagrams to elucidate the topics at hand
 Language
 eng
 Extent
 1 online resource (xx, 347 pages)
 Contents

 What Are Proofs, And Why Do We Write Them?
 The Basics of Proofs
 Limits
 Continuity
 Derivatives
 Riemann Integrals
 Infinite Series
 Sequences of Functions
 Topology of the Real Line
 Metric Spaces
 Isbn
 9783319309675
 Label
 Writing proofs in analysis
 Title
 Writing proofs in analysis
 Statement of responsibility
 Jonathan M. Kane
 Subject

 Proof theory
 Mathematics
 Electronic books
 Mathematical Logic and Foundations
 Mathematical analysis
 Mathematics  Functional Analysis
 Proof theory
 Fourier Analysis
 Mathematics  Mathematical Analysis
 Mathematics  Logic
 Mathematical analysis
 Functional Analysis
 Mathematical foundations
 Functional analysis & transforms
 Language
 eng
 Summary
 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 wellwritten 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 fullcolor diagrams to elucidate the topics at hand
 Cataloging source
 GW5XE
 http://library.link/vocab/creatorName
 Kane, Jonathan Michael
 Dewey number
 511.3/6
 Illustrations
 illustrations
 Index
 index present
 LC call number
 QA9.54
 Literary form
 non fiction
 Nature of contents

 dictionaries
 bibliography
 http://library.link/vocab/subjectName

 Proof theory
 Mathematical analysis
 Mathematical analysis
 Proof theory
 Mathematics
 Functional Analysis
 Fourier Analysis
 Mathematical Logic and Foundations
 Mathematics
 Mathematics
 Functional analysis & transforms
 Mathematical foundations
 Mathematics
 Label
 Writing proofs in analysis, Jonathan M. Kane
 Antecedent source
 unknown
 Bibliography note
 Includes bibliographical references and index
 Carrier category
 online resource
 Carrier category code
 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code
 txt
 Content type MARC source
 rdacontent
 Contents
 What Are Proofs, And Why Do We Write Them?  The Basics of Proofs  Limits  Continuity  Derivatives  Riemann Integrals  Infinite Series  Sequences of Functions  Topology of the Real Line  Metric Spaces
 Dimensions
 unknown
 Extent
 1 online resource (xx, 347 pages)
 File format
 unknown
 Form of item
 online
 Isbn
 9783319309675
 Level of compression
 unknown
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code
 c
 Note
 SpringerLink
 Other control number
 10.1007/9783319309675
 Other physical details
 illustrations (some color)
 Quality assurance targets
 not applicable
 Reformatting quality
 unknown
 Sound
 unknown sound
 Specific material designation
 remote
 System control number

 (OCoLC)951425440
 (OCoLC)ocn951425440
 Label
 Writing proofs in analysis, Jonathan M. Kane
 Antecedent source
 unknown
 Bibliography note
 Includes bibliographical references and index
 Carrier category
 online resource
 Carrier category code
 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code
 txt
 Content type MARC source
 rdacontent
 Contents
 What Are Proofs, And Why Do We Write Them?  The Basics of Proofs  Limits  Continuity  Derivatives  Riemann Integrals  Infinite Series  Sequences of Functions  Topology of the Real Line  Metric Spaces
 Dimensions
 unknown
 Extent
 1 online resource (xx, 347 pages)
 File format
 unknown
 Form of item
 online
 Isbn
 9783319309675
 Level of compression
 unknown
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code
 c
 Note
 SpringerLink
 Other control number
 10.1007/9783319309675
 Other physical details
 illustrations (some color)
 Quality assurance targets
 not applicable
 Reformatting quality
 unknown
 Sound
 unknown sound
 Specific material designation
 remote
 System control number

 (OCoLC)951425440
 (OCoLC)ocn951425440
Subject
 Electronic books
 Fourier Analysis
 Functional Analysis
 Functional analysis & transforms
 Mathematical Logic and Foundations
 Mathematical analysis
 Mathematical analysis
 Mathematical foundations
 Mathematics
 Mathematics  Functional Analysis
 Mathematics  Logic
 Mathematics  Mathematical Analysis
 Proof theory
 Proof theory
Genre
Library Locations

Architecture LibraryBorrow itGould Hall 830 Van Vleet Oval Rm. 105, Norman, OK, 73019, US35.205706 97.445050



Chinese Literature Translation ArchiveBorrow it401 W. Brooks St., RM 414, Norman, OK, 73019, US35.207487 97.447906

Engineering LibraryBorrow itFelgar Hall 865 Asp Avenue, Rm. 222, Norman, OK, 73019, US35.205706 97.445050

Fine Arts LibraryBorrow itCatlett Music Center 500 West Boyd Street, Rm. 20, Norman, OK, 73019, US35.210371 97.448244

Harry W. Bass Business History CollectionBorrow it401 W. Brooks St., Rm. 521NW, Norman, OK, 73019, US35.207487 97.447906

History of Science CollectionsBorrow it401 W. Brooks St., Rm. 521NW, Norman, OK, 73019, US35.207487 97.447906

John and Mary Nichols Rare Books and Special CollectionsBorrow it401 W. Brooks St., Rm. 509NW, Norman, OK, 73019, US35.207487 97.447906


Price College Digital LibraryBorrow itAdams Hall 102 307 West Brooks St., Norman, OK, 73019, US35.210371 97.448244

Western History CollectionsBorrow itMonnet Hall 630 Parrington Oval, Rm. 300, Norman, OK, 73019, US35.209584 97.445414
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