Price:11296 rub.Buy

Ken Urai. Fixed Points and Economic Equilibria (Series on Mathematical Economics and Game Theory)

Publisher:
Year:2010

This book presents a systematic approach to problems in economic equilibrium based on fixed-point arguments and rigorous set-theoretical (axiomatic) methods. It describes the highest-level research on the classical theme, fixed points and economic equilibria, in the theory of mathematical economics, and also presents basic results in this area, especially in the general equilibrium theory and non-co-operative game theory. The arguments also contain distinguishable developments of the main theme in the homology theory for general topological spaces, in the model theory and mathematical logic, and in the methodology and philosophy of social sciences. It can thus serve as a graduate-level textbook on mathematical economics as well as an advanced monograph for students and researchers who are concerned about rigorous mathematical treatment in the social sciences.

Price:8170 rub.Buy

Eric Lengyel. Mathematics for 3D Game Programming and Computer Graphics

Publisher:Course Technology PTR
Year:2011

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 visibility determination. Particular attention is given to derivations of key results, ensuring that the reader is not forced to endure gaps in the theory. The book assumes a working knowledge of trigonometry and calculus, but also includes sections that review the important tools used from these disciplines, such as trigonometric identities, differential equations, and Taylor series. The third edition expands upon topics that include projections, shadows, physics, cloth simulation, and numerical methods. All of the illustrations have been updated, and the shader code has been updated to the latest high-level shading language specifications.

Price:5484 rub.Buy

Brian Guenter, Sung-hee Lee. Symbolic Dynamics and Geometry: Using D in Graphics and Game Programming

Publisher:
Year:2010

This book explains how to use the new symbolic differentiation system D* for applications in computer games and engineering simulation.The development of D* is significant because it is a faster way to render high-resultion graphics in real time-thousands of times faster than, for example, Mathematica or automatic differentiation. The book covers many applications but looks at two specific ones in detail: real-time Lagrangian physics simulation and procedural 3D geometric modeling.