Despite growing interest, basic information on methods and models for mathematically analyzing algorithms has rarely been directly accessible to practitioners, researchers, or students. An Introduction to the Analysis of Algorithms, Second Edition, organizes and presents that knowledge, fully...
`Non-equilibrium Thermodynamics and Statistical Mechanics: Foundations and Applications' builds from basic principles to advanced techniques, and covers the major phenomena, methods, and results of time-dependent systems. It is a pedagogic introduction, a comprehensive reference manual, and an original research monograph. Uniquely, the...
Mathematical Physics with Partial Differential Equations is for advanced undergraduate and beginning graduate students taking a course on mathematical physics taught out of math departments. The text presents some of the most important topics and methods of mathematical physics. The premise is to study in detail the three most...
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...
This market-leading text provides a comprehensive introduction to probability and statistics for engineering students in all specialties. Proven, accurate, and lauded for its excellent examples, Probability and Statistics for Engineering and the Sciences evidences Jay Devore's reputation as an outstanding author and leader in the...
This book presents the fundamental physics of optical interferometry as applied to biophysical, biological and medical research. Interference is at the core of many types of optical detection and is a powerful probe of cellular and tissue structure in interfererence microscopy and in optical coherence tomography. It is also the root cause of...
Covering fractional order theory, simulation and experiments, this book explains how fractional order modelling and fractional order controller design compares favourably with traditional velocity and position control systems. The authors systematically compare the two approaches using applied fractional calculus. Stability theory in...
This mathematically oriented introduction to the theory of logic programming presents a systematic exposition of the resolution method for propositional, first-order, and Horn- clause logics, together with an analysis of the semantic aspects of the method. It is through the inference rule of resolution that both proofs and computations can be...
The term “video compression” is now a common household name. The field of still
image and video compression has matured to the point that it is possible to watch
movies on a laptop computer. Such is the rapidity at which technology in various
fields has advanced and is advancing. However, this creates a need for some to...
KINEMATICS is a branch of dynamics that studies aspects of motion apart from considerations of masses and forces. Essentially, Kinematics is a collection of vector/matrix methods to describe positions, velocities and accelerations of particles and rigid bodies, as viewed from various reference frames. The sub- eld of Particle Kinematics...
This updated third edition illustrates the mathematical concepts that a game developer needs to develop 3D computer graphics and game engines at the professional level. It starts at a fairly basic level in areas such as vector geometry and linear algebra, and then progresses to more advanced topics in 3D programming such as illumination and...
Now considered an essential reference in the game industry, 3D Game Engine Design is the first book to go beyond basic descriptions of algorithms and accurately demonstrate the complex engineering process required to design and build a real-time graphics engine to support physical realism. Faster algorithms will always win out over...
