Algebraic geometry has found fascinating applications to coding theory
and cryptography in the last few decades. This book aims to provide the
necessary theoretical background for reading the contemporary literature on
these applications. An aspect that we emphasize, as it is very useful for
the applications, is the interplay between...
This graduate-level, course-based text is devoted to the 3+1 formalism of general relativity, which also constitutes the theoretical foundations of numerical relativity. The book starts by establishing the mathematical background (differential geometry, hypersurfaces embedded in space-time, foliation of space-time by a family of space-like...
The demand for more reliable geometric computing in robotics, computer vision and graphics has revitalized many venerable algebraic subjects in mathematics among them, Grassmann Cayley algebra and Geometric Algebra. Nowadays, they are used as powerful languages for projective, Euclidean and other classical geometries.
The capabilities and computational speed of today's hardware have dramatically enhanced graphics technology. These improvements happen so quickly, however, that it is often difficult for programmers to keep pace. Graphics Programming Methods is a unique collection of application and technique-driven articles that provide practical methods...
3D Face Processing: Modeling, Analysis and Synthesis introduces the frontiers of 3D face processing techniques. It reviews existing 3D face processing techniques, including techniques for 3D face geometry modeling; 3D face motion modeling; and 3D face motion tracking and animation. Then it discusses a unified framework for face...
Handbook of Grid Generation addresses the use of grids (meshes) in the numerical solutions of partial differential equations by finite elements, finite volume, finite differences, and boundary elements. Four parts divide the chapters: structured grids, unstructured girds, surface definition, and adaption/quality. An introduction to...
If a physical system has only internal interactions and if space is isotropic, then intrinsic properties of the system must be independent of its orientation and must be indistinguishable in all directions. From this fundamental rotational symmetry concept the theory of angular momentum has been developed into a sophisticated analytical and...
Gearing up for the AP Chemistry exam? AP Chemistry For Dummies is packed with all the resources and help you need to do your very best. This AP Chemistry study guide gives you winning test-taking tips, multiple-choice strategies, and topic guidelines, as well as great advice on optimizing your study time and hitting the top of your...
Algorithmic Algebra studies some of the main algorithmic tools of computer algebra, covering such topics as Gröbner bases, characteristic sets, resultants and semialgebraic sets. The main purpose of the book is to acquaint advanced undergraduate and graduate students in computer science, engineering and mathematics with the...
Practical Formal Software Engineering is a textbook aimed at final year undergraduate and graduate students, emphasizing formal methods in writing robust code quickly. Engineering is an informal process using formal logics as tools and components to obtain timely practical solutions. This book takes an engineering approach to illuminate the...
This book reviews the algorithms for processing geometric data, with a practical focus on important techniques not covered by traditional courses on computer vision and computer graphics. Features: presents an overview of the underlying mathematical theory, covering vector spaces, metric space, affine spaces, differential geometry, and finite...
This book covers combinatorial data structures and algorithms, algebraic issues in geometric computing, approximation of curves and surfaces, and computational topology. Each chapter fully details and provides a tutorial introduction to important concepts and results. The focus is on methods which are both well founded mathematically and...
