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Mathematics and Physics for Programmers

Mathematics and Physics for Programmers

by Danny Kodicek

2005 (640 pages)

ISBN:9781584503309

With applications and examples from game programming as well as end of chapter exercises, this book provides a simple but thorough grounding in the mathematics and physics topics needed to write algorithms and programs.

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Table of Contents

Mathematics and Physics for Programmers
Introduction
Part I - General Techniques
Chapter 1	-	Numbers
Chapter 2	-	Arithmetic
Chapter 3	-	Algebra
Chapter 4	-	Trigonometry and Pythagoras
Chapter 5	-	Vectors
Chapter 6	-	Calculus
Part II - Ballistics and Collisions
Chapter 7	-	Acceleration, Mass, and Energy
Chapter 8	-	Detecting Collisions Between Simple Shapes
Chapter 9	-	Resolving Collisions
Chapter 10	-	Detecting Collisions Between Complex Shapes
Chapter 11	-	A Simple Pool Game
Part III - More Complex Motion
Chapter 12	-	Force and Newton’s Laws
Chapter 13	-	Angular Motion
Chapter 14	-	Friction
Chapter 15	-	Strings, Pulleys, and Conveyor Belts
Chapter 16	-	Oscillations
Part IV - 3D Mathematics
Chapter 17	-	3D Geometry
Chapter 18	-	Transforms
Chapter 19	-	Collision Detection in Three Dimensions
Chapter 20	-	Lighting and Textures
Chapter 21	-	Modeling Techniques
Part V - Game Algorithms
Chapter 22	-	Speeding Things Up
Chapter 23	-	Tile-Based Games
Chapter 24	-	Mazes
Chapter 25	-	Game Theory and AI
Chapter 26	-	Search Techniques
Appendix A	-	Glossary of Mathematical Terms
Appendix B	-	Language References and Pseudocode
Appendix C	-	About the CD-ROM
Appendix D	-	Further Reading and Resources
Appendix E	-	Answers to Exercises