Geometry At Work. Papers In Applied Geometry

While there are many textbooks presenting a pure or theoretical approach to geometry and many monographs investigating a single aspect of applied geometry, it is difficult to find a wide-angle view of applied geometry. The purpose of this collection is to give as broad a picture as possible of the applications of geometry. At the same time, since the papers in this collection have been written by pioneers and leading experts in each of the fields represented, the reader is assured of seeing the creativity, depth, and rigor that is an essential part of any successful application of mathematical knowledge. This collection will be a rich resource for the geometry instructor, whether as a supplement to standard textbook material, reference material for student reports and projects, or as the starting point for a research program. The papers vary in difficulty, but are accessible to anyone having a college-level acquaintance with geometry. It is hoped that this volume will open many new worlds for all lovers of geometry. The papers in this volume show applications of geometry to many different areas : Art and Architecture. Vedic Civilization. Classroom Teaching Engineering (robotics, structural engineering, Geographical Information Systems, and medical imaging). Decision-Making Processes (voting and computer learning). Mathematics (number theory, optimization, and graph theory). Science (quantum mechanics and crystallography).