Game physics. (2015)

• Record Type: Book
• Further Information: Note: David H. Eberly.
• Authors: Eberly, David H
• Contents: Introduction; A Brief History of the World; A Summary of the Topics; Examples and Exercises; Basic Concepts from Physics; Rigid Body Classification; Rigid Body Kinematics; Newton’s Laws; Forces; Momenta; Energy; Rigid Body Motion; Newtonian Dynamics; Lagrangian Dynamics; Euler’s Equations of Motion; Deformable Bodies; Elasticity, Stress, and Strain; Mass–Spring Systems; Control Point Deformation; Free-Form Deformation; Implicit Surface Deformation; Fluids and Gases; Vector Calculus; Strain and Stress; Conservation Laws; A Simplified Model for Fluid Flow; Implementing the Simplified 2D Model; Implementing the Simplified 3D Model; Variations of the Simplified Model; Physics Engines; The Physics Tick; Collision Culling; Test-Intersection Queries; Collision Detection with Convex Polyhedra; Unconstrained Motion; Acceleration-Based Constrained Motion; Velocity-Based Constrained Motion; Variations; Linear Algebra; A Review of Number Systems; Systems of Linear Equations; Matrices; Vector Spaces; Advanced Topics; Affine Algebra; Introduction; Coordinate Systems; Subspaces; Transformations; Barycentric Coordinates; Calculus; Univariate Calculus; Multivariate Calculus; Applications; Quaternions; Rotation Matrices; The Classical Approach; A Linear Algebraic Approach; Interpolation of Quaternions; Derivatives of Time-Varying Quaternions; Differential Equations; First-Order Equations; Existence, Uniqueness, and Continuous Dependence; Second-Order Equations; General-Order Differential Equations; Systems of Linear Differential Equations; Equilibria and Stability; Ordinary Difference Equations; Definitions; Linear Equations; Constant Coefficient Equations; Systems of Equations; Numerical Methods; Euler’s Method; Higher-Order Taylor Methods; Methods via an Integral Formulation; Runge–Kutta Methods; Multistep Methods; Predictor–Corrector Methods; Extrapolation Methods; Verlet Integration; Numerical Stability and Its Relationship to Physical Stability; Stiff Equations; Linear Complementarity and Mathematical Programming; Linear Programming; The Linear Complementarity Problem; Mathematical Programming; Applications; Contact Forces
• Edition: Second edition
• Publisher Details: Boca Raton : CRC Press
• Publication Date: 2015
• Extent: 1 online resource
• Subjects: 794.816693; Computer games -- Programming; Three-dimensional display systems; Computer graphics; Mechanics -- Computer simulation
• Languages: English
• ISBNs: 9780080964072
• Notes: Note: Includes bibliographical references and index.; Note: Description based on CIP data; resource not viewed.
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.