It takes the average reader 4 hours and 24 minutes to read Markov's Theorem and 100 Years of the Uniqueness Conjecture by Martin Aigner
Assuming a reading speed of 250 words per minute. Learn more
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.
Markov's Theorem and 100 Years of the Uniqueness Conjecture by Martin Aigner is 257 pages long, and a total of 66,049 words.
This makes it 87% the length of the average book. It also has 81% more words than the average book.
The average oral reading speed is 183 words per minute. This means it takes 6 hours to read Markov's Theorem and 100 Years of the Uniqueness Conjecture aloud.
Markov's Theorem and 100 Years of the Uniqueness Conjecture is suitable for students ages 12 and up.
Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.
When deciding what to show young students always use your best judgement and consult a professional.
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