#
Markov's Theorem and 100 Years of the Uniqueness Conjecture : A Mathematical Journey from Irrational Numbers to Perfect Matchings
Resource Information
The work ** Markov's Theorem and 100 Years of the Uniqueness Conjecture : A Mathematical Journey from Irrational Numbers to Perfect Matchings** represents a distinct intellectual or artistic creation found in **Boston University Libraries**. This resource is a combination of several types including: Work, Language Material, Books.

The Resource
Markov's Theorem and 100 Years of the Uniqueness Conjecture : A Mathematical Journey from Irrational Numbers to Perfect Matchings
Resource Information

The work

**Markov's Theorem and 100 Years of the Uniqueness Conjecture : A Mathematical Journey from Irrational Numbers to Perfect Matchings**represents a distinct intellectual or artistic creation found in**Boston University Libraries**. This resource is a combination of several types including: Work, Language Material, Books.- Label
- Markov's Theorem and 100 Years of the Uniqueness Conjecture : A Mathematical Journey from Irrational Numbers to Perfect Matchings

- 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 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

- Image bit depth
- 0

- LC call number
- QA241-247.5

- Literary form
- non fiction

## Context

Context of Markov's Theorem and 100 Years of the Uniqueness Conjecture : A Mathematical Journey from Irrational Numbers to Perfect Matchings## 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 fa-external-link-square fa-fw"></i> Data from <span resource="http://link.bu.edu/resource/HACFGaOAxzU/" typeof="CreativeWork http://bibfra.me/vocab/lite/Work"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.bu.edu/resource/HACFGaOAxzU/">Markov's Theorem and 100 Years of the Uniqueness Conjecture : A Mathematical Journey from Irrational Numbers to Perfect Matchings</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 Work Markov's Theorem and 100 Years of the Uniqueness Conjecture : A Mathematical Journey from Irrational Numbers to Perfect Matchings

Copy and paste the following RDF/HTML data fragment to cite this resource

`<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.bu.edu/resource/HACFGaOAxzU/" typeof="CreativeWork http://bibfra.me/vocab/lite/Work"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.bu.edu/resource/HACFGaOAxzU/">Markov's Theorem and 100 Years of the Uniqueness Conjecture : A Mathematical Journey from Irrational Numbers to Perfect Matchings</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>`