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)

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
Creator
Contributor
Author
Provider
Subject
Language
eng
Summary
This book takes the reader on a mathematical journey, from a number-theoretic 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 upper-level 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
QA241-247.5
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)
Instantiates
Publication
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
10.1007/978-3-319-00888-2
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-319-00888-2
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)
Publication
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
10.1007/978-3-319-00888-2
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-319-00888-2

Library Locations

  • African Studies LibraryBorrow it
    771 Commonwealth Avenue, 6th Floor, Boston, MA, 02215, US
    42.350723 -71.108227
  • Alumni Medical LibraryBorrow it
    72 East Concord Street, Boston, MA, 02118, US
    42.336388 -71.072393
  • Astronomy LibraryBorrow it
    725 Commonwealth Avenue, 6th Floor, Boston, MA, 02445, US
    42.350259 -71.105717
  • Fineman and Pappas Law LibrariesBorrow it
    765 Commonwealth Avenue, Boston, MA, 02215, US
    42.350979 -71.107023
  • Frederick S. Pardee Management LibraryBorrow it
    595 Commonwealth Avenue, Boston, MA, 02215, US
    42.349626 -71.099547
  • Howard Gotlieb Archival Research CenterBorrow it
    771 Commonwealth Avenue, 5th Floor, Boston, MA, 02215, US
    42.350723 -71.108227
  • Mugar Memorial LibraryBorrow it
    771 Commonwealth Avenue, Boston, MA, 02215, US
    42.350723 -71.108227
  • Music LibraryBorrow it
    771 Commonwealth Avenue, 2nd Floor, Boston, MA, 02215, US
    42.350723 -71.108227
  • Pikering Educational Resources LibraryBorrow it
    2 Silber Way, Boston, MA, 02215, US
    42.349804 -71.101425
  • School of Theology LibraryBorrow it
    745 Commonwealth Avenue, 2nd Floor, Boston, MA, 02215, US
    42.350494 -71.107235
  • Science & Engineering LibraryBorrow it
    38 Cummington Mall, Boston, MA, 02215, US
    42.348472 -71.102257
  • Stone Science LibraryBorrow it
    675 Commonwealth Avenue, Boston, MA, 02445, US
    42.350103 -71.103784
Processing Feedback ...