Markov's Theorem and 100 Years of the Uniqueness Conjecture A Mathematical Journey from Irrational Numbers to Perfect Matchings
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...
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Formato: | Libro electrónico |
Idioma: | Inglés |
Publicado: |
Heidelberg :
Springer International Publishing
2013.
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Colección: | Springer eBooks.
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Acceso en línea: | Conectar con la versión electrónica |
Ver en Universidad de Navarra: | https://innopac.unav.es/record=b32916796*spi |
Tabla de Contenidos:
- 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. .