This volume introduces recent developments of Partial Differential Equations (PDEs) in the field of Geometric Design. The text is written with a particular emphasis on computer based design and analysis involving the geometry of physical objects.
This superb exposition of a complex subject examines new developments in the theory and practice of computation from a mathematical perspective.
It covers topics ranging from classical computability to complexity, from biocomputing to quantum computing.
This review of the mathematics uses in computing takes in a host of topics including software engineering and reliability, coding theory, and cryptography, and is an enlightening introductory guide to the calculations which have built our technological world.
Computing is quickly making much of geometry intriguing. What is the core set of topics that a practitioner needs to study before embarking on the design and implementation of a geometric system in a specialized discipline? This book attempts to find the answer.
GA, or Clifford Algebra, is a powerful unifying framework for geometric computations. This volume is a practical guide that reviews algebraic techniques for geometrical problems in computer science and engineering, and the relationships between them.
This book reviews algorithms for processing geometric data, with a practical focus on techniques not covered by typical courses on computer vision and graphics. Presents an overview of underlying theory, and includes self-study exercises throughout the text.
This textbook presents an algorithmic approach to mathematical analysis, with a focus on modelling and on the applications of analysis. It makes thorough use of examples and explanations using MATLAB, Maple and Java applets.