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Product details

File Size: 17534 KB

Print Length: 624 pages

Publisher: Cengage Learning PTR; 003 edition (June 22, 2011)

Publication Date: April 23, 2014

Language: English

ASIN: B00JVY2NKQ

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As a word of warning, do not purchase this book expecting it to teach you math fundamentals. If you do not have a background of at least algebra and trigonometry (and preferably a bit of calculus), you owe it to yourself to pick up another book and brush up on these fundamentals. While there are a few appendices covering a handful of topics, they are less about explaining the topic and more of reference pages.Mathematics for 3D Game Programming and Computer Graphics is an excellent reference book for anyone doing 3D work. The topics are very to the point and few pages are wasted explaining basic math principles (hence the warning about having a decent math background). The book probably won't teach anyone who doesn't know they underlying principles but will be your go-to reference for any algorithm you implement.The book starts with the reviews of the requisite vector, matrix, transformation (including rotations by quaternions) and basic geometry for a view frustum, but quickly dives into more advanced topics. Ray tracing is covered for all areas of use, from light maps to reflections. The lighting chapter covers texturing using several map types as well as lighting models with a very enjoyable discussion of specular reflection models.Solid chapters on culling using bounding volumes and portal systems, shadowing and curve algorithms round out the first half of the book. The second half is devoted to the mathematics of physics, with chapters on basic collision detection, linear and rotational physics. The simulation of fluids and cloth (one of the more difficult physical models to accurately compute in a game) gets it's own chapter and it's a highlight for anyone implementing character clothing animation or a realistic water volume.Every chapter has exercises (with and appendix of answers) to reinforce the material. The C++ and GLSL shader code is available on the books companion website ([...]) much of which forms the basis for the math classes of the authors own engine.Anyone who needs a math reference book for 3D would do well to own this book. If you are writing your own engine, you owe it to yourself to pick up what will be the only math book you will need. While many technical books do not age well, this hardcover book will last through many late-night coding sessions both physically and with regard to the material within at a low price point. Never again will you have to scour through your old textbooks or search online for the algorithm you are trying to implement. The author has done the impossible; make a truly terrific math textbook.

Mathematics for 3D Game Programming and Computer Graphics by Eric Lengyel is one of those books I have literally been eyeing for years and just never got around to reading. If you are not familiar, Eric Lengyel is the creator of the C4 Engine, and also the author of various game development books. He is well regarded in the community, so I assumed this was a must read title. After reading it, I still agree; it’s an excellent source of knowledge.The book covers the basic stuff you would expect from a 3D math book: vectors, matrices, quaternions, intersections between various types of geometry, visibility, etc. Great, so the bases are covered. Lengyel goes a bit further, though, and discusses other topics that are very important in computer graphics. For example: lighting and shadowing, decals, curved surfaces, and physics (including fluid and cloth simulation). So a decent amount of topics are covered, but the chapters are still brief enough to finish each in one sitting.While there are some implementation examples, the text is pretty light on the code. The code that is here is mostly based around OpenGL, however the concepts should still translate to DirectX. Not a huge issue. When needed, he does show code samples, but most of the copy is dedicated to math discussion and the equations.Granted, some of the equations and proofs were dense and hard to follow. This was made worse by the fact that I was reading this on the Kindle, and the equations were made up of small images you couldn’t zoom in on. Having said that, I still understood most of the concepts, but there were a few times I felt overwhelmed. I can’t really fault the author for that, since his written explanations were all very clear and concise. It’s just some of the content is deep and complex, so be prepared.All in all, I found this to be a great resource and you can never know enough math in this field. Unfortunately, I will still probably have to look up some of the equations online or in other books due to the low quality of the images in the e-book. But this is a minor complaint compared to the amount of information backed in this title. I would recommend this.

I've been away from math for too long - it's a tough read but mostly because I have become sloppy in my old age. I suspect the book is more intended for the reader who wants to look up a specific topic but I'm reading it from cover to cover just out of interest in this whole game engine thing. Also I refuse to move along until I"m sure I understand each proof. Probably my bucket book.

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