This book explores the role of Martin-Lof s constructive type theory in computer programming. The main focus of the book is how the theory can be successfully applied in practice. Introductory sections provide the necessary background in logic, lambda calculus and constructive mathematics, and exercises and chapter summaries are included to...

Beautiful mathematical ideas abound in multimedia software! Some are not encountered until late in undergraduate or even postgraduate study, whereas they can be appreciated and used much earlier. This book presents a few dozen such pearls, strung together by their ubiquity in many applications. It is based on the course Topics in...

This book is intended to be accessible to undergraduate students with two years of typical mathematics experience, most likely meaning calculus with a little linear algebra and differential equations. Thus, specifically, there is no assumption oLa background inabstr&;t algebra or number theory, nor of probability, nor of linear...

Numerical analysis is the branch of mathematics that is used to find approximations to difficult problems such as finding the roots of non-linear equations, integration involving complex expressions and solving differential equations for which analytical solutions do not exist. It is applied to a wide variety of disciplines such as...

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...

This book is not intended to be a traditional software engineering text — there are many good ones. Instead, it is designed specifically for those involved in image processing systems. It provides a modern engineering framework for the specification, design, coding, testing, and maintenance of image processing software and...

The 11th Symposium on Trends in Functional Programming took place on the University of Oklahoma campus in Norman, Oklahoma, May 17-19, 2010. The program included presentations of 26 papers submitted by researchers from six nations and an invited talk by J. Strother Moore on machine reasoning so well received that the question/answer...

Image synthesis, or rendering, is a field of transformation: it changes geometry and physics into meaningful images. Because the most popular algorithms frequently change, it is increasingly important for researchers and implementors to have a basic understanding of the principles of image synthesis. Focusing on theory, Andrew...

This best-selling, calculus-based text is recognized for its carefully crafted, logical presentation of the basic concepts and principles of physics. PHYSICS FOR SCIENTISTS AND ENGINEERS, Sixth Edition, maintains the Serway traditions of concise writing for the students, carefully thought-out problem sets and worked examples, and evolving...

Thirty years ago mathematical, as opposed to applied numerical, computation was difficult to perform and so relatively little used. Three threads changed that: the emergence of the personal computer; the discovery of fiber-optics and the consequent development of the modern internet; and the building of the Three “M’s”...