The Resource Writing proofs in analysis, Jonathan M. Kane

Writing proofs in analysis, Jonathan M. Kane

Label
Writing proofs in analysis
Title
Writing proofs in analysis
Statement of responsibility
Jonathan M. Kane
Creator
Author
Subject
Genre
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 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
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
Link
https://ezproxy.lib.ou.edu/login?url=http://link.springer.com/10.1007/978-3-319-30967-5
Instantiates
Publication
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
10.1007/978-3-319-30967-5
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
Link
https://ezproxy.lib.ou.edu/login?url=http://link.springer.com/10.1007/978-3-319-30967-5
Publication
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
10.1007/978-3-319-30967-5
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

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