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Markov's theorem and 100 years of the uniqueness conjecture a mathematical journey from irrational numbers to perfect matchings Martin Aigner
Springer Nature - Springer Mathematics and Statistics (R0) eBooks 2013 English International Available online
View online- Format:
- Book
- Author/Creator:
- Aigner, Martin, 1942- author.
- Language:
- English
- Subjects (All):
- Markov processes.
- Number theory.
- Markov Chains.
- Medical Subjects:
- Markov Chains.
- Physical Description:
- 1 online resource
- Place of Publication:
- Cham New York Springer ©2013
- Language Note:
- English
- System Details:
- text file
- 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
- Contents:
- Part I. Numbers
- 1. Approximation of irrational numbers
- 2. Markov's theorem and the uniqueness conjecture
- Part II. Trees
- 3. The Markov tree
- 4. The Cohn tree
- Part III. Groups
- 5. The modular group
- 6. The free group F2
- Part IV. Words
- 7. Christoffel words
- 8. Sturmian words
- Part V. Finale
- 9. Proof of Markov's theorem
- 10. The uniqueness conjecture
- Notes:
- Includes bibliographical references and index
- Print version record
- Other Format:
- Print version Aigner, Martin, 1942- Markov's theorem and 100 years of the uniqueness conjecture
- ISBN:
- 9783319008882
- 3319008889
- 9781299858558
- 1299858554
- OCLC:
- 853659945
- Access Restriction:
- Restricted for use by site license
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