Fundamentals Of Mathematical Logic

Peter G. Hinman

A.K. Peters

This book integrates all aspects of computer-generated facial animation including computer-based visualization techniques, three-dimensional character animation, anatomical, and psychological considerations and discusses them in the framework of promising applications in entertainment, human-computer interface, research, and education.

Computer Facial Animation, Second Edition

Computers & Technology

Waters, Keith

Parke, Frederic I.

Programming

This award-winning video visualizes the discovery that a sphere can be turned inside out by means of smooth motion if self-intersection of the material is allowed. Stunning computer animation combined with thorough explanations in the spoken text and the accompanying four-color booklet, Making Waves, classify this film as "educational entertainment." "The technical work could hardly be improved upon." -- James M. Kister, Mathematical Reviews

Outside in [VHS]

The Geometry Center

Written for game programmers and developers, this book covers GPU techniques and supporting applications that are commonly used in games and similar real-time 3D applications. The authors describe the design of programs and systems that can be used to implement games and other applications whose requirements are to render real-time animation sequences (such as walks through complex scenes) at the high quality now available from GPUs. The text is mainly structured around programming in Cg; but also includes techniques (in C++/OpenGL) that do not map onto GPU hardware. The supplementary CD includes implementation for most of the techniques covered in the book and full source code for an advanced render library in Cg/C++/OpenGL. This library can be used to quickly develop 3D games and applications which make use of the advanced features available in current programmable graphics hardware like GPU based animation, lighting, shadows, and special effects. The authors would like to acknowledge the following people who were omitted from the acknowledgements in the first printing. Julio Lucio---For his substantial work on the character animation and morph targets exporters for 3dsmax and testing all animation related features. Peter Dahl---For his substantial contribution to some render objects used on Taikodom and effects such as motion blur and depth of field in sections of Chapter 6. Manuel M. Oliveira---As a co-contributor for Chapter 5 and for many hours we spent talking about new Relief Mapping ideas and different implementation details.

Not Knot [VHS]

This eminently readable book focuses on the people of mathematics and draws the reader into their fascinating world. In a monumental address, given to the International Congress of Mathematicians in Paris in 1900, David Hilbert, perhaps the most respected mathematician of his time, developed a blueprint for mathematical research in the new century. Jokingly called a natural introduction to thesis writing with examples, this collection of problems has indeed become a guiding inspiration to many mathematicians, and those who succeeded in solving or advancing their solutions form an Honors Class among research mathematicians of this century. In a remarkable labor of love and with the support of many of the major players in the field, Ben Yandell has written a fascinating account of the achievements of this Honors Class, covering mathematical substance and biographical aspects.

The Honors Class: Hilbert's Problems and Their Solvers

Benjamin H. Yandell

History

Twists, Tilings, and Tessellations: Mathematical Methods for Geometric Origami (AK Peters/CRC Recreational Mathematics Series)

Twists, Tilings, and Tessellation describes the underlying principles and mathematics of the broad and exciting field of abstract and mathematical origami, most notably the field of origami tessellations. It contains folding instructions, underlying principles, mathematical concepts, and many beautiful photos of the latest work in this fast-expanding field.

Humor & Entertainment

Lang, Robert J.

Puzzles & Games

"Among the many expositions of Gödel's incompleteness theorems written for non-specialists, this book stands apart. With exceptional clarity, Franzén gives careful, non-technical explanations both of what those theorems say and, more importantly, what they do not. No other book aims, as his does, to address in detail the misunderstandings and abuses of the incompleteness theorems that are so rife in popular discussions of their significance. As an antidote to the many spurious appeals to incompleteness in theological, anti-mechanist and post-modernist debates, it is a valuable addition to the literature." --- John W. Dawson, author of Logical Dilemmas: The Life and Work of Kurt Gödel

Gödel's Theorem

Franzén, Torkel

Based on course notes of SIGGRAPH course teaching techniques for real-time rendering of volumetric data and effects; covers both applications in scientific visualization and real-time rendering. Starts with the basics (texture-based ray casting) and then improves and expands the algorithms incrementally. Book includes source code, algorithms, diagrams, and rendered graphics.

Real-Time Volume Graphics

Weiskopf, Daniel

Engel, Klaus

Hadwiger, Markus

Kniss, Joe

Rezk-Salama, Christof

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Books by A.K. Peters