Aigner

This revised and enlarged fourth edition features five new chapters, which treat classical results such as the "Fundamental Theorem of Algebra", problems about tilings, but also quite recent proofs, for example of the Kneser conjecture in graph theory. The new edition also presents further improvements and surprises, among them a new proof for "...

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 astoundi...