The casual game market continues to expand, and with the use of Flash growing and the increased popularity of the iPhone and other mobile gaming devices, developers have an exciting new route to market. But many of these budding game programmers find that they’re missing the core math and physics skills they need to develop even simple games. MATHEMATICS AND PHYSICS FOR PROGRAMMERS, SECOND EDITION teaches beginning game programmers they skills they need to develop causal games. Beginning with the basic aspects of mathematics and physics that are relevant to games, and moving on to more complex topics, the book combines theory and practice and the reader develops a number of games throughout the course of the book. With the concepts and techniques presented in the book, readers should be able to program a number of standard casual game types, including Mario-style platformers, driving simulations, puzzle games, and a simple first-person shooter. They will also gain a basic understanding of 2D and 3D geometry.
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Introduction. The Games. Part I: GENERAL TECHNIQUES. 1. Numbers. 2. Arithmetic. 3. Algebra. 4. Trigonometry and Pythagoras. 5. Vectors. Part II: BALLISTICS AND COLLISIONS. 6. Forces, Mass, and Energy. 7. Collisions Between Simple Shapes. 8. Collisions Between Complex Shapes. 9. Particle Systems. Part III: MORE COMPLEX MATHEMATICS. 10. Calculus. 11. 3D Geometry. 12. Lighting and Textures. 13. 3D Terrains. Part IV: MORE COMPLEX PHYSICS. 14. Angular Motion. 15. Friction. 16. Oscillations. 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.
Danny Kodicek is a graduate of Cambridge University. He works with Sunflower Learning in the UK, developing science simulations and tools for schools – his software has been translated into over fifteen languages and is sold worldwide. As a freelancer his previous clients include the BBC and the Royal Air Force, and he was co-creator of the award-winning TimeHunt Web site.
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