Markov's Theorem and 100 Years of the Uniqueness Conjecture

Released on by Martin Aigner
preview-18

  • Markov's Theorem and 100 Years of the Uniqueness Conjecture Book Detail

  • Author : Martin Aigner
  • Release Date : 2013-07-18
  • Publisher : Springer Science & Business Media
  • Genre : Mathematics
  • Pages : 257
  • ISBN 13 : 3319008889
  • File Size : 78,78 MB
DOWNLOAD BOOK

Markov's Theorem and 100 Years of the Uniqueness Conjecture by Martin Aigner PDF Summary

Book Description: 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.

Disclaimer: www.yourbookbest.com does not own Markov's Theorem and 100 Years of the Uniqueness Conjecture books pdf, neither created or scanned. We just provide the link that is already available on the internet, public domain and in Google Drive. If any way it violates the law or has any issues, then kindly mail us via contact us page to request the removal of the link.