Algorithmic And Computer Methods For Three-Manifolds

This monograph presents a comprehensive coverage of three-dimensional topology, as well as exploring some of its frontiers. Many important applied problems of mechanics and theoretical physics can be reduced to algorithmic problems of three-dimensional topology, which can then be solved using computers. Although much progress in this field has been made in recent years, these results have not been readily accessible to a wider audience up to now. This book is based on courses the authors have given over several years, and summarises the most outstanding achievements of modern computer topology.
Audience: This book will be of interest to graduate students and researchers whose work involves such diverse disciplines as physics, mathematics, computer programmes for spline theory and its applications, geometrical modelling, geometry, and topology. The illustrations by A.T. Fomenko, drawn especially for this work, add great value and extra appeal.

Booknews

This is your brain, and this is your brain on three-dimensional topology! Many important applied problems of mechanics and theoretical physics can be reduced to algorithmic problems of three-dimensional topology, which can then be solved using computers. This work makes progress in the field accessible to a wider audience, using an informal style and thought-provoking hand-drawn b&w illustrations designed to train powers of visualization. A final section includes figures and Escher-like illustrations related to material in the book. Readers can guess which mathematical concepts are being illustrated. Of interest to graduate students and researchers in disciplines including physics, mathematics, computer programs for spline theory and its applications, geometrical modeling, geometry, and topology. Annotation c. by Book News, Inc., Portland, Or.