Topics in topology: The signature theorem and some of its applications
The author discusses several exciting topological developments that took place during the fifties decade which radically changed the way we think about many issues. Topics covered: Poincare duality, Thom isomorphism, Euler, Chern and Pontryagin classes, cobordisms groups, signature formula.
Optimization and Optimal Control: Theory and Applications
Optimization and optimal control are the main tools in decision making. Because of their numerous applications in various disciplines, research in these areas is accelerating at a rapid pace. “Optimization and Optimal Control: Theory and Applications” brings together the latest developments in these areas of research as well as presents applications of these results to a wide range of real-world problems.
This classic introduction to algebra is suitable for students meeting the subject for the first time or needing to brush up on it before a course or exam. It will allow you to learn the principles and foundations of the subject and provides the knowledge of algebra required for applications of mathematics to subjects such as engineering.
Aiming to provide the reader with the necessary information for applying laser technology, this guide covers the basic concepts of lasers and optics as related to lasers, types of lasers used in industry and their properties, industrial applications of lasers, and industrial laser systems.
John Bird's approach, based on numerous worked examples and interactive problems, is ideal for students from a wide range of academic backgrounds, and can be worked through at the student's own pace. Basic mathematical theories are explained in a straightforward manner, being supported by practical engineering examples and applications in order to ensure that readers can relate theory to practice.
