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...
Salvato in:
| Autore principale: | |
|---|---|
| Natura: | Livre numérique |
| Lingua: | Anglais |
| Pubblicazione: |
Cham :
Springer International Publishing
[20..].
Cham : Springer Nature |
| Edizione: | 1st ed. 2013. |
| Accesso online: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nota: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Markov's theorem and 100 years of the uniqueness conjecture, a mathematical journey from irrational numbers to perfect matchings, Martin Aigner, Cham, Springer, 2013, 1 volume (x-257 pages), 978-3-319-00887-5 • Markov's Theorem and 100 Years of the Uniqueness Conjecture, Texte imprimé, 9783319033099 • Markov's theorem and 100 years of the uniqueness conjecture, a mathematical journey from irrational numbers to perfect matchings, Martin Aigner, Cham, Springer, 2013, 1 volume (x-257 pages), 978-3-319-00887-5 • Markov's Theorem and 100 Years of the Uniqueness Conjecture, Texte imprimé, 9783319008899 |
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| 100 | 1 | |a Aigner, Martin, |d 1942-2023. | |
| 245 | 1 | 0 | |a Markov's theorem and 100 years of the uniqueness conjecture : |b a mathematical journey from irrational numbers to perfect matchings |c by Martin Aigner. |
| 250 | |a 1st ed. 2013. | ||
| 260 | |a Cham : |b Springer International Publishing. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 1 | |a 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. | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a 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 | ||
| 776 | 0 | |0 176644474 |t Markov's theorem and 100 years of the uniqueness conjecture |o a mathematical journey from irrational numbers to perfect matchings |f Martin Aigner |c Cham |n Springer |d 2013 |p 1 volume (x-257 pages) |z 978-3-319-00887-5 | |
| 776 | 0 | |t Markov's Theorem and 100 Years of the Uniqueness Conjecture |b Texte imprimé |z 9783319033099 | |
| 776 | 0 | |0 176644474 |t Markov's theorem and 100 years of the uniqueness conjecture |o a mathematical journey from irrational numbers to perfect matchings |f Martin Aigner |c Cham |n Springer |d 2013 |p 1 volume (x-257 pages) |z 978-3-319-00887-5 | |
| 776 | 0 | |t Markov's Theorem and 100 Years of the Uniqueness Conjecture |b Texte imprimé |z 9783319008899 | |
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