Borrow it
 African Studies Library
 Alumni Medical Library
 Astronomy Library
 Fineman and Pappas Law Libraries
 Frederick S. Pardee Management Library
 Howard Gotlieb Archival Research Center
 Mugar Memorial Library
 Music Library
 Pikering Educational Resources Library
 School of Theology Library
 Science & Engineering Library
 Stone Science Library
The Resource Markov's Theorem and 100 Years of the Uniqueness Conjecture : A Mathematical Journey from Irrational Numbers to Perfect Matchings, by Martin Aigner, (electronic resource)
Markov's Theorem and 100 Years of the Uniqueness Conjecture : A Mathematical Journey from Irrational Numbers to Perfect Matchings, by Martin Aigner, (electronic resource)
Resource Information
The item Markov's Theorem and 100 Years of the Uniqueness Conjecture : A Mathematical Journey from Irrational Numbers to Perfect Matchings, by Martin Aigner, (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 Markov's Theorem and 100 Years of the Uniqueness Conjecture : A Mathematical Journey from Irrational Numbers to Perfect Matchings, by Martin Aigner, (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 takes the reader on a mathematical journey, from a numbertheoretic point of view, to the realm of Markov’s theorem and the uniqueness conjecture, gradually unfolding many beautiful connections until everything falls into place in the proof of Markov’s theorem. What makes the Markov theme so attractive is that it appears in an astounding variety of different fields, from number theory to combinatorics, from classical groups and geometry to the world of graphs and words. On the way, there are also introductory forays into some fascinating topics that do not belong to the standard curriculum, such as Farey fractions, modular and free groups, hyperbolic planes, and algebraic words. The book closes with a discussion of the current state of knowledge about the uniqueness conjecture, which remains an open challenge to this day. All the material should be accessible to upperlevel undergraduates with some background in number theory, and anything beyond this level is fully explained in the text. This is not a monograph in the usual sense concentrating on a specific topic. Instead, it narrates in five parts – Numbers, Trees, Groups, Words, Finale – the story of a discovery in one field and its many manifestations in others, as a tribute to a great mathematical achievement and as an intellectual pleasure, contemplating the marvellous unity of all mathematics
 Language
 eng
 Extent
 X, 257 p. 72 illus.
 Contents

 Approximation of Irrational Numbers
 Markov's Theorem and the Uniqueness Conjecture
 The Markov Tree
 The Cohn Tree
 The Modular Group SL(2,Z)
 The Free Group F2
 Christoffel Words
 Sturmian Words
 Proof of Markov's Theorem
 The Uniqueness Conjecture.
 Isbn
 9783319008882
 Label
 Markov's Theorem and 100 Years of the Uniqueness Conjecture : A Mathematical Journey from Irrational Numbers to Perfect Matchings
 Title
 Markov's Theorem and 100 Years of the Uniqueness Conjecture
 Title remainder
 A Mathematical Journey from Irrational Numbers to Perfect Matchings
 Statement of responsibility
 by Martin Aigner
 Language
 eng
 Summary
 This book takes the reader on a mathematical journey, from a numbertheoretic point of view, to the realm of Markov’s theorem and the uniqueness conjecture, gradually unfolding many beautiful connections until everything falls into place in the proof of Markov’s theorem. What makes the Markov theme so attractive is that it appears in an astounding variety of different fields, from number theory to combinatorics, from classical groups and geometry to the world of graphs and words. On the way, there are also introductory forays into some fascinating topics that do not belong to the standard curriculum, such as Farey fractions, modular and free groups, hyperbolic planes, and algebraic words. The book closes with a discussion of the current state of knowledge about the uniqueness conjecture, which remains an open challenge to this day. All the material should be accessible to upperlevel undergraduates with some background in number theory, and anything beyond this level is fully explained in the text. This is not a monograph in the usual sense concentrating on a specific topic. Instead, it narrates in five parts – Numbers, Trees, Groups, Words, Finale – the story of a discovery in one field and its many manifestations in others, as a tribute to a great mathematical achievement and as an intellectual pleasure, contemplating the marvellous unity of all mathematics
 http://library.link/vocab/creatorName
 Aigner, Martin
 Image bit depth
 0
 LC call number
 QA241247.5
 Literary form
 non fiction
 http://library.link/vocab/relatedWorkOrContributorName
 SpringerLink
 http://library.link/vocab/subjectName

 Mathematics
 Group theory
 Combinatorics
 Number theory
 Mathematics
 Number Theory
 Group Theory and Generalizations
 Combinatorics
 Label
 Markov's Theorem and 100 Years of the Uniqueness Conjecture : A Mathematical Journey from Irrational Numbers to Perfect Matchings, by Martin Aigner, (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
 Approximation of Irrational Numbers  Markov's Theorem and the Uniqueness Conjecture  The Markov Tree  The Cohn Tree  The Modular Group SL(2,Z)  The Free Group F2  Christoffel Words  Sturmian Words  Proof of Markov's Theorem  The Uniqueness Conjecture.
 Dimensions
 unknown
 Extent
 X, 257 p. 72 illus.
 File format
 multiple file formats
 Form of item
 electronic
 Isbn
 9783319008882
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code
 c
 Other control number
 10.1007/9783319008882
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (DEHe213)9783319008882
 Label
 Markov's Theorem and 100 Years of the Uniqueness Conjecture : A Mathematical Journey from Irrational Numbers to Perfect Matchings, by Martin Aigner, (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
 Approximation of Irrational Numbers  Markov's Theorem and the Uniqueness Conjecture  The Markov Tree  The Cohn Tree  The Modular Group SL(2,Z)  The Free Group F2  Christoffel Words  Sturmian Words  Proof of Markov's Theorem  The Uniqueness Conjecture.
 Dimensions
 unknown
 Extent
 X, 257 p. 72 illus.
 File format
 multiple file formats
 Form of item
 electronic
 Isbn
 9783319008882
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code
 c
 Other control number
 10.1007/9783319008882
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (DEHe213)9783319008882
Library Locations

African Studies LibraryBorrow it771 Commonwealth Avenue, 6th Floor, Boston, MA, 02215, US42.350723 71.108227


Astronomy LibraryBorrow it725 Commonwealth Avenue, 6th Floor, Boston, MA, 02445, US42.350259 71.105717

Fineman and Pappas Law LibrariesBorrow it765 Commonwealth Avenue, Boston, MA, 02215, US42.350979 71.107023

Frederick S. Pardee Management LibraryBorrow it595 Commonwealth Avenue, Boston, MA, 02215, US42.349626 71.099547

Howard Gotlieb Archival Research CenterBorrow it771 Commonwealth Avenue, 5th Floor, Boston, MA, 02215, US42.350723 71.108227


Music LibraryBorrow it771 Commonwealth Avenue, 2nd Floor, Boston, MA, 02215, US42.350723 71.108227

Pikering Educational Resources LibraryBorrow it2 Silber Way, Boston, MA, 02215, US42.349804 71.101425

School of Theology LibraryBorrow it745 Commonwealth Avenue, 2nd Floor, Boston, MA, 02215, US42.350494 71.107235

Science & Engineering LibraryBorrow it38 Cummington Mall, Boston, MA, 02215, US42.348472 71.102257

Embed (Experimental)
Settings
Select options that apply then copy and paste the RDF/HTML data fragment to include in your application
Embed this data in a secure (HTTPS) page:
Layout options:
Include data citation:
<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.bu.edu/portal/MarkovsTheoremand100YearsoftheUniqueness/Xrgl_ya78y4/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.bu.edu/portal/MarkovsTheoremand100YearsoftheUniqueness/Xrgl_ya78y4/">Markov's Theorem and 100 Years of the Uniqueness Conjecture : A Mathematical Journey from Irrational Numbers to Perfect Matchings, by Martin Aigner, (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>
Note: Adjust the width and height settings defined in the RDF/HTML code fragment to best match your requirements
Preview
Cite Data  Experimental
Data Citation of the Item Markov's Theorem and 100 Years of the Uniqueness Conjecture : A Mathematical Journey from Irrational Numbers to Perfect Matchings, by Martin Aigner, (electronic resource)
Copy and paste the following RDF/HTML data fragment to cite this resource
<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.bu.edu/portal/MarkovsTheoremand100YearsoftheUniqueness/Xrgl_ya78y4/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.bu.edu/portal/MarkovsTheoremand100YearsoftheUniqueness/Xrgl_ya78y4/">Markov's Theorem and 100 Years of the Uniqueness Conjecture : A Mathematical Journey from Irrational Numbers to Perfect Matchings, by Martin Aigner, (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>