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The Resource Advanced Fixed Point Theory for Economics, by Andrew McLennan, (electronic resource)
Advanced Fixed Point Theory for Economics, by Andrew McLennan, (electronic resource)
Resource Information
The item Advanced Fixed Point Theory for Economics, by Andrew McLennan, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.This item is available to borrow from all library branches.
Resource Information
The item Advanced Fixed Point Theory for Economics, by Andrew McLennan, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.
This item is available to borrow from all library branches.
 Summary
 This book develops the central aspect of fixed point theory – the topological fixed point index – to maximal generality, emphasizing correspondences and other aspects of the theory that are of special interest to economics. Numerous topological consequences are presented, along with important implications for dynamical systems. The book assumes the reader has no mathematical knowledge beyond that which is familiar to all theoretical economists. In addition to making the material available to a broad audience, avoiding algebraic topology results in more geometric and intuitive proofs. Graduate students and researchers in economics, and related fields in mathematics and computer science, will benefit from this book, both as a useful reference and as a wellwritten rigorous exposition of foundational mathematics. Numerous problems sketch key results from a wide variety of topics in theoretical economics, making the book an outstanding text for advanced graduate courses in economics and related disciplines
 Language
 eng
 Extent
 XX, 432 p. 18 illus.
 Contents

 Chapter 1 Introduction and Summary
 Part I Topological Methods
 Chapter 2 Planes, Polyhedra, and Polytopes
 Chapter 3 Computing Fixed Points
 Chapter 4 Topologies on Spaces of Sets
 Chapter 5 Topologies on Functions and Correspondences
 Chapter 6 Metric Space Theory
 Chapter 7 Retracts
 Chapter 8 Essential Sets of Fixed Points
 Chapter 9 Approximation of Correspondences
 Part II Smooth Methods
 Chapter 10 Differentiable Manifolds
 Chapter 11 Sard’s Theorem
 Chapter 12 Degree Theory
 Chapter 13 The Fixed Point Index
 Part III Applications and Extensions
 Chapter 14 Topological Consequences
 Chapter 15 Vector Fields and their Equilibria
 Isbn
 9789811307102
 Label
 Advanced Fixed Point Theory for Economics
 Title
 Advanced Fixed Point Theory for Economics
 Statement of responsibility
 by Andrew McLennan
 Language
 eng
 Summary
 This book develops the central aspect of fixed point theory – the topological fixed point index – to maximal generality, emphasizing correspondences and other aspects of the theory that are of special interest to economics. Numerous topological consequences are presented, along with important implications for dynamical systems. The book assumes the reader has no mathematical knowledge beyond that which is familiar to all theoretical economists. In addition to making the material available to a broad audience, avoiding algebraic topology results in more geometric and intuitive proofs. Graduate students and researchers in economics, and related fields in mathematics and computer science, will benefit from this book, both as a useful reference and as a wellwritten rigorous exposition of foundational mathematics. Numerous problems sketch key results from a wide variety of topics in theoretical economics, making the book an outstanding text for advanced graduate courses in economics and related disciplines
 http://library.link/vocab/creatorName
 McLennan, Andrew
 Image bit depth
 0
 LC call number
 HB1846.8
 Literary form
 non fiction
 http://library.link/vocab/relatedWorkOrContributorName
 SpringerLink
 http://library.link/vocab/subjectName

 Game theory
 Economics
 Economics
 Economic Theory/Quantitative Economics/Mathematical Methods
 Game Theory, Economics, Social and Behav. Sciences
 Label
 Advanced Fixed Point Theory for Economics, by Andrew McLennan, (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
 Chapter 1 Introduction and Summary  Part I Topological Methods  Chapter 2 Planes, Polyhedra, and Polytopes  Chapter 3 Computing Fixed Points  Chapter 4 Topologies on Spaces of Sets  Chapter 5 Topologies on Functions and Correspondences  Chapter 6 Metric Space Theory  Chapter 7 Retracts  Chapter 8 Essential Sets of Fixed Points  Chapter 9 Approximation of Correspondences  Part II Smooth Methods  Chapter 10 Differentiable Manifolds  Chapter 11 Sard’s Theorem  Chapter 12 Degree Theory  Chapter 13 The Fixed Point Index  Part III Applications and Extensions  Chapter 14 Topological Consequences  Chapter 15 Vector Fields and their Equilibria
 Dimensions
 unknown
 Extent
 XX, 432 p. 18 illus.
 File format
 multiple file formats
 Form of item
 electronic
 Isbn
 9789811307102
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code
 c
 Other control number
 10.1007/9789811307102
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (DEHe213)9789811307102
 Label
 Advanced Fixed Point Theory for Economics, by Andrew McLennan, (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
 Chapter 1 Introduction and Summary  Part I Topological Methods  Chapter 2 Planes, Polyhedra, and Polytopes  Chapter 3 Computing Fixed Points  Chapter 4 Topologies on Spaces of Sets  Chapter 5 Topologies on Functions and Correspondences  Chapter 6 Metric Space Theory  Chapter 7 Retracts  Chapter 8 Essential Sets of Fixed Points  Chapter 9 Approximation of Correspondences  Part II Smooth Methods  Chapter 10 Differentiable Manifolds  Chapter 11 Sard’s Theorem  Chapter 12 Degree Theory  Chapter 13 The Fixed Point Index  Part III Applications and Extensions  Chapter 14 Topological Consequences  Chapter 15 Vector Fields and their Equilibria
 Dimensions
 unknown
 Extent
 XX, 432 p. 18 illus.
 File format
 multiple file formats
 Form of item
 electronic
 Isbn
 9789811307102
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code
 c
 Other control number
 10.1007/9789811307102
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (DEHe213)9789811307102
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.bu.edu/portal/AdvancedFixedPointTheoryforEconomicsby/6Qyo9cx2iE8/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.bu.edu/portal/AdvancedFixedPointTheoryforEconomicsby/6Qyo9cx2iE8/">Advanced Fixed Point Theory for Economics, by Andrew McLennan, (electronic resource)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.bu.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.bu.edu/">Boston University Libraries</a></span></span></span></span></div>