The Resource A FixedPoint Farrago, by Joel H. Shapiro, (electronic resource)
A FixedPoint Farrago, by Joel H. Shapiro, (electronic resource)
Resource Information
The item A FixedPoint Farrago, by Joel H. Shapiro, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in European University Institute.This item is available to borrow from 1 library branch.
Resource Information
The item A FixedPoint Farrago, by Joel H. Shapiro, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in European University Institute.
This item is available to borrow from 1 library branch.
 Summary
 This text provides an introduction to some of the bestknown fixedpoint theorems, with an emphasis on their interactions with topics in analysis. The level of exposition increases gradually throughout the book, building from a basic requirement of undergraduate proficiency to graduatelevel sophistication. Appendices provide an introduction to (or refresher on) some of the prerequisite material and exercises are integrated into the text, contributing to the volume’s ability to be used as a selfcontained text. Readers will find the presentation especially useful for independent study or as a supplement to a graduate course in fixedpoint theory. The material is split into four parts: the first introduces the Banach ContractionMapping Principle and the Brouwer FixedPoint Theorem, along with a selection of interesting applications; the second focuses on Brouwer’s theorem and its application to John Nash’s work; the third applies Brouwer’s theorem to spaces of infinite dimension; and the fourth rests on the work of Markov, Kakutani, and Ryll–Nardzewski surrounding fixed points for families of affine maps
 Language
 eng
 Extent
 1 online resource (xiv, 221 pages)
 Contents

 1. From Newton to Google
 2. Brouwer in Dimension Two
 3. Contraction Mappings
 4. Brouwer in Higher Dimensions
 5. Nash Equilibrium
 6. Nash's "onepage proof"
 7. The Schauder FixedPoint Theorem
 8. The Invariant Subspace Problem
 9. The Markov–Kakutani Theorem
 10. The Meaning of Means
 11. Paradoxical Decompositions
 12. Fixed Points for Noncommuting Map Families
 13. Beyond Markov–Kakutani
 A. Advanced Calculus
 B. Compact Metric Spaces
 C. Convex Sets and Normed Spaces
 D. Euclidean Isometries
 E. A Little Group Theory, a Little Set Theory
 References
 Index
 List of Symbols
 Isbn
 9783319279787
 Label
 A FixedPoint Farrago
 Title
 A FixedPoint Farrago
 Statement of responsibility
 by Joel H. Shapiro
 Language
 eng
 Summary
 This text provides an introduction to some of the bestknown fixedpoint theorems, with an emphasis on their interactions with topics in analysis. The level of exposition increases gradually throughout the book, building from a basic requirement of undergraduate proficiency to graduatelevel sophistication. Appendices provide an introduction to (or refresher on) some of the prerequisite material and exercises are integrated into the text, contributing to the volume’s ability to be used as a selfcontained text. Readers will find the presentation especially useful for independent study or as a supplement to a graduate course in fixedpoint theory. The material is split into four parts: the first introduces the Banach ContractionMapping Principle and the Brouwer FixedPoint Theorem, along with a selection of interesting applications; the second focuses on Brouwer’s theorem and its application to John Nash’s work; the third applies Brouwer’s theorem to spaces of infinite dimension; and the fourth rests on the work of Markov, Kakutani, and Ryll–Nardzewski surrounding fixed points for families of affine maps
 Assigning source
 Provided by publisher
 http://library.link/vocab/creatorName
 Shapiro, Joel H
 Image bit depth
 0
 Literary form
 non fiction
 Series statement
 Universitext,
 http://library.link/vocab/subjectName

 Mathematics
 Mathematical analysis
 Analysis (Mathematics)
 Numerical analysis
 Label
 A FixedPoint Farrago, by Joel H. Shapiro, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code
 cr
 Carrier MARC source
 rdacarrier.
 Color
 not applicable
 Content category
 text
 Content type code
 txt
 Content type MARC source
 rdacontent.
 Contents
 1. From Newton to Google  2. Brouwer in Dimension Two  3. Contraction Mappings  4. Brouwer in Higher Dimensions  5. Nash Equilibrium  6. Nash's "onepage proof"  7. The Schauder FixedPoint Theorem  8. The Invariant Subspace Problem  9. The Markov–Kakutani Theorem  10. The Meaning of Means  11. Paradoxical Decompositions  12. Fixed Points for Noncommuting Map Families  13. Beyond Markov–Kakutani  A. Advanced Calculus  B. Compact Metric Spaces  C. Convex Sets and Normed Spaces  D. Euclidean Isometries  E. A Little Group Theory, a Little Set Theory  References  Index  List of Symbols
 Control code
 9783319279787
 Dimensions
 unknown
 Extent
 1 online resource (xiv, 221 pages)
 File format
 multiple file formats
 Form of item
 electronic
 Governing access note
 Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, noncommercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
 Isbn
 9783319279787
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia.
 Media type code
 c
 Other control number
 10.1007/9783319279787
 Other physical details
 8 illustrations.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (OCoLC)951214711
 Label
 A FixedPoint Farrago, by Joel H. Shapiro, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code
 cr
 Carrier MARC source
 rdacarrier.
 Color
 not applicable
 Content category
 text
 Content type code
 txt
 Content type MARC source
 rdacontent.
 Contents
 1. From Newton to Google  2. Brouwer in Dimension Two  3. Contraction Mappings  4. Brouwer in Higher Dimensions  5. Nash Equilibrium  6. Nash's "onepage proof"  7. The Schauder FixedPoint Theorem  8. The Invariant Subspace Problem  9. The Markov–Kakutani Theorem  10. The Meaning of Means  11. Paradoxical Decompositions  12. Fixed Points for Noncommuting Map Families  13. Beyond Markov–Kakutani  A. Advanced Calculus  B. Compact Metric Spaces  C. Convex Sets and Normed Spaces  D. Euclidean Isometries  E. A Little Group Theory, a Little Set Theory  References  Index  List of Symbols
 Control code
 9783319279787
 Dimensions
 unknown
 Extent
 1 online resource (xiv, 221 pages)
 File format
 multiple file formats
 Form of item
 electronic
 Governing access note
 Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, noncommercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
 Isbn
 9783319279787
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia.
 Media type code
 c
 Other control number
 10.1007/9783319279787
 Other physical details
 8 illustrations.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (OCoLC)951214711
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.library.eui.eu/portal/AFixedPointFarragobyJoelH.Shapiro/c81WvznJtA4/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.eui.eu/portal/AFixedPointFarragobyJoelH.Shapiro/c81WvznJtA4/">A FixedPoint Farrago, by Joel H. Shapiro, (electronic resource)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.eui.eu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.eui.eu/">European University Institute</a></span></span></span></span></div>