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The Resource A Course in Topological Combinatorics, by Mark Longueville, (electronic resource)
A Course in Topological Combinatorics, by Mark Longueville, (electronic resource)
Resource Information
The item A Course in Topological Combinatorics, by Mark Longueville, (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 A Course in Topological Combinatorics, by Mark Longueville, (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
 A Course in Topological Combinatorics is the first undergraduate textbook on the field of topological combinatorics, a subject that has become an active and innovative research area in mathematics over the last thirty years with growing applications in math, computer science, and other applied areas. Topological combinatorics is concerned with solutions to combinatorial problems by applying topological tools. In most cases these solutions are very elegant and the connection between combinatorics and topology often arises as an unexpected surprise. The textbook covers topics such as fair division, graph coloring problems, evasiveness of graph properties, and embedding problems from discrete geometry. The text contains a large number of figures that support the understanding of concepts and proofs. In many cases several alternative proofs for the same result are given, and each chapter ends with a series of exercises. The extensive appendix makes the book completely selfcontained. The textbook is well suited for advanced undergraduate or beginning graduate mathematics students. Previous knowledge in topology or graph theory is helpful but not necessary. The text may be used as a basis for a one or twosemester course as well as a supplementary text for a topology or combinatorics class
 Language
 eng
 Extent
 XII, 238 p. 153 illus.
 Contents

 Preface
 List of Symbols and Typical Notation
 1 FairDivision Problems
 2 GraphColoring Problems
 3 Evasiveness of Graph Properties
 4 Embedding and Mapping Problems
 A Basic Concepts from Graph Theory
 B Crash Course in Topology
 C Partially Ordered Sets, Order Complexes, and Their Topology
 D Groups and Group Actions
 E Some Results and Applications from Smith Theory
 References
 Index
 Isbn
 9781441979100
 Label
 A Course in Topological Combinatorics
 Title
 A Course in Topological Combinatorics
 Statement of responsibility
 by Mark Longueville
 Language
 eng
 Summary
 A Course in Topological Combinatorics is the first undergraduate textbook on the field of topological combinatorics, a subject that has become an active and innovative research area in mathematics over the last thirty years with growing applications in math, computer science, and other applied areas. Topological combinatorics is concerned with solutions to combinatorial problems by applying topological tools. In most cases these solutions are very elegant and the connection between combinatorics and topology often arises as an unexpected surprise. The textbook covers topics such as fair division, graph coloring problems, evasiveness of graph properties, and embedding problems from discrete geometry. The text contains a large number of figures that support the understanding of concepts and proofs. In many cases several alternative proofs for the same result are given, and each chapter ends with a series of exercises. The extensive appendix makes the book completely selfcontained. The textbook is well suited for advanced undergraduate or beginning graduate mathematics students. Previous knowledge in topology or graph theory is helpful but not necessary. The text may be used as a basis for a one or twosemester course as well as a supplementary text for a topology or combinatorics class
 http://library.link/vocab/creatorName
 Longueville, Mark
 Image bit depth
 0
 LC call number
 QA164167.2
 Literary form
 non fiction
 http://library.link/vocab/relatedWorkOrContributorName
 SpringerLink
 Series statement
 Universitext,
 http://library.link/vocab/subjectName

 Mathematics
 Combinatorics
 Discrete groups
 Mathematics
 Combinatorics
 Convex and Discrete Geometry
 Graph Theory
 Game Theory, Economics, Social and Behav. Sciences
 Mathematics of Algorithmic Complexity
 Label
 A Course in Topological Combinatorics, by Mark Longueville, (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
 Preface  List of Symbols and Typical Notation  1 FairDivision Problems  2 GraphColoring Problems  3 Evasiveness of Graph Properties  4 Embedding and Mapping Problems  A Basic Concepts from Graph Theory  B Crash Course in Topology  C Partially Ordered Sets, Order Complexes, and Their Topology  D Groups and Group Actions  E Some Results and Applications from Smith Theory  References  Index
 Dimensions
 unknown
 Extent
 XII, 238 p. 153 illus.
 File format
 multiple file formats
 Form of item
 electronic
 Isbn
 9781441979100
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code
 c
 Other control number
 10.1007/9781441979100
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (DEHe213)9781441979100
 Label
 A Course in Topological Combinatorics, by Mark Longueville, (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
 Preface  List of Symbols and Typical Notation  1 FairDivision Problems  2 GraphColoring Problems  3 Evasiveness of Graph Properties  4 Embedding and Mapping Problems  A Basic Concepts from Graph Theory  B Crash Course in Topology  C Partially Ordered Sets, Order Complexes, and Their Topology  D Groups and Group Actions  E Some Results and Applications from Smith Theory  References  Index
 Dimensions
 unknown
 Extent
 XII, 238 p. 153 illus.
 File format
 multiple file formats
 Form of item
 electronic
 Isbn
 9781441979100
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code
 c
 Other control number
 10.1007/9781441979100
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (DEHe213)9781441979100
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