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Description du livre Buch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 268 pp. Englisch. N° de réf. du vendeur 9783319008875
Description du livre Etat : New. N° de réf. du vendeur 4495983
Description du livre Etat : New. Book is in NEW condition. N° de réf. du vendeur 3319008870-2-1
Description du livre Buch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. N° de réf. du vendeur 9783319008875
Description du livre Etat : New. New! This book is in the same immaculate condition as when it was published. N° de réf. du vendeur 353-3319008870-new
Description du livre Hardcover. Etat : new. New Copy. Customer Service Guaranteed. N° de réf. du vendeur think3319008870