Algorithmic and computer methods in three dimensions topology

The monograph contains an accessible presentation of the theory of three-dimensional manifolds, which plays a huge role in modern mathematics and mathematical physics. The main emphasis is on algorithmic problems of three-dimensional computer geometry. The publication clearly describes the spectacular and unexpected applications of computers in topology and geometry. The book teaches the competent use of computers to form (and sometimes prove) geometric hypotheses and test them. The application of computer geometry methods to problems of Hamiltonian geometry and physics is shown.

For specialists in computer geometry, for mathematicians, geometricians and topologists. The book can also be used as a textbook for undergraduate and graduate students involved in the creation of modern geometric type algorithms.