Review
"Not only is it an excellent introduction for someone who needs to come up-to-speed on the math behind games and graphics, it's a well-organized reference for anyone in the field. Short version: If you program graphics, let alone games, you need this book. Shelve it near your desk, next to your Foley and your Knuth. Highly Recommended." -Rick Wayne from a review in Software Development Magazine
"This excellent volume is unique in that it covers not only the basic techniques of computer graphics and game development, but also provides a thorough and rigorous--yet very readable--treatment of the underlying mathematics. Fledgling graphics and games developers will find it a valuable introduction; experienced developers will find it an invaluable reference. Everything is here, from the detailed numeric issues of IEEE floating point notation, to the correct way to use quaternions and spherical linear interpolation to represent orientation, to the mathematics of collision detection and rigid-body dynamics." -David Luebke, University of Virginia, co-author of Level of Detail for 3D Graphics
"When it comes to software development for games or virtual reality, you cannot escape the mathematics. The best performance comes not from superfast processors and terabytes of memory, but from well-chosen algorithms. With this in mind, the techniques most useful for developing production-quality computer graphics for Hollywood blockbusters are not the best choice for interactive applications. When rendering times are measured in milliseconds rather than hours, you need an entirely different perspective. Essential Mathematics for Games and Interactive Applications provides this perspective. While the mathematics are rigorous and perhaps challenging at times, Van Verth and Bishop provide the context for understanding the algorithms and data structures needed to bring games and VR applications to life. This may not be the only book you will ever need for games and VR software development, but it will certainly provide an excellent framework for developing robust and fast applications." -Ian Ashdown, President, ByHeart Consultants Limited
"With Essential Mathematics for Games and Interactive Applications, Van Verth and Bishop have provided invaluable assistance for professional game developers looking to shore up weaknesses in their mathematical training. Even if you never intend to write a renderer or tune a physics engine, this book provides the mathematical and conceptual grounding needed to understand many of the key concepts in rendering, simulation, and animation." -Dave Weinstein, Red Storm Entertainment
"Geometry, trigonometry, linear algebra, and calculus are all essential tools for 3D graphics. Mathematics courses in these subjects cover too much ground, while at the same time glossing over the bread-and-butter essentials for 3D graphics programmers. In Essential Mathematics for Games and Interactive Applications, Van Verth and Bishop bring just the right level of mathematics out of the trenches of professional game development. This book provides an accessible and solid mathematical foundation for interactive graphics programmers. If you are working in the area of 3D games, this book is a 'must have.'" -Jonathan Cohen, Department of Computer Science, Johns Hopkins University, co-author of Level of Detail for 3D Graphics --This text refers to an alternate Hardcover edition.
"This excellent volume is unique in that it covers not only the basic techniques of computer graphics and game development, but also provides a thorough and rigorous--yet very readable--treatment of the underlying mathematics. Fledgling graphics and games developers will find it a valuable introduction; experienced developers will find it an invaluable reference. Everything is here, from the detailed numeric issues of IEEE floating point notation, to the correct way to use quaternions and spherical linear interpolation to represent orientation, to the mathematics of collision detection and rigid-body dynamics." -David Luebke, University of Virginia, co-author of Level of Detail for 3D Graphics
"When it comes to software development for games or virtual reality, you cannot escape the mathematics. The best performance comes not from superfast processors and terabytes of memory, but from well-chosen algorithms. With this in mind, the techniques most useful for developing production-quality computer graphics for Hollywood blockbusters are not the best choice for interactive applications. When rendering times are measured in milliseconds rather than hours, you need an entirely different perspective. Essential Mathematics for Games and Interactive Applications provides this perspective. While the mathematics are rigorous and perhaps challenging at times, Van Verth and Bishop provide the context for understanding the algorithms and data structures needed to bring games and VR applications to life. This may not be the only book you will ever need for games and VR software development, but it will certainly provide an excellent framework for developing robust and fast applications." -Ian Ashdown, President, ByHeart Consultants Limited
"With Essential Mathematics for Games and Interactive Applications, Van Verth and Bishop have provided invaluable assistance for professional game developers looking to shore up weaknesses in their mathematical training. Even if you never intend to write a renderer or tune a physics engine, this book provides the mathematical and conceptual grounding needed to understand many of the key concepts in rendering, simulation, and animation." -Dave Weinstein, Red Storm Entertainment
"Geometry, trigonometry, linear algebra, and calculus are all essential tools for 3D graphics. Mathematics courses in these subjects cover too much ground, while at the same time glossing over the bread-and-butter essentials for 3D graphics programmers. In Essential Mathematics for Games and Interactive Applications, Van Verth and Bishop bring just the right level of mathematics out of the trenches of professional game development. This book provides an accessible and solid mathematical foundation for interactive graphics programmers. If you are working in the area of 3D games, this book is a 'must have.'" -Jonathan Cohen, Department of Computer Science, Johns Hopkins University, co-author of Level of Detail for 3D Graphics --This text refers to an alternate Hardcover edition.
Review
"It's the book with all the math you need for games." - Neil Kirby, Researcher, Alcatel-Lucent
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1st edition:
"Even though I've worked with these systems for years, this book showed me new ways of looking at several topics that make them easier to remember and use. For someone new to 3D programming, it is extremely useful - it gives them a solid background in pretty much every area they need to understand." - Peter Lipson, Toys for Bob, Inc.
1st edition quote
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1st edition:
"Even though I've worked with these systems for years, this book showed me new ways of looking at several topics that make them easier to remember and use. For someone new to 3D programming, it is extremely useful - it gives them a solid background in pretty much every area they need to understand." - Peter Lipson, Toys for Bob, Inc.
1st edition quote
Product Description
"Essential Mathematics for Games and Interactive Applications, 2nd Edition" presents the core mathematics necessary for sophisticated 3D graphics and interactive physical simulations. The book begins with linear algebra and matrix multiplication and expands on this foundation to cover such topics as color and lighting, interpolation, animation and basic game physics. "Essential Mathematics" focuses on the issues of 3D game development important to programmers and includes optimization guidance throughout. The new edition Windows code will now use Visual Studio.NET. There will also be DirectX support provided, along with OpenGL - due to its cross-platform nature. Programmers will find more concrete examples included in this edition, as well as additional information on tuning, optimization and robustness. The book has a companion CD-ROM with exercises and a test bank for the academic secondary market, and for main market: code examples built around a shared code base, including a math library covering all the topics presented in the book, a core vector/matrix math engine, and libraries to support basic 3D rendering and interaction; simple game engine with math, rendering, and input libraries on the CD-ROM, so that game developers can immediately start applying the techniques they learn in a basic codebase; exercises on the CD-ROM for educators to use for course material - code samples shown throughout the book for real-world application.
About the Author
James M. Van Verth is a founding member of Red Storm Entertainment, a division of Ubisoft, where he has been a lead engineer for nine years. For the past eight years he has also been a regular speaker at the Game Developers Conferences, teaching the all-day tutorial "Math for Game Programmers," on which this book is based. He has a B.A. in mathematics and computer science from Dartmouth College and M.S. degrees in computer science from the State University of New York at Buffalo and the University of North Carolina at Chapel Hill. Lars M. Bishop is an engineer in the Handheld Developer Technologies group at NVIDIA. Prior to joining NVIDIA, Lars was the Chief Technology Officer at Numerical Design Limited, leading the development of the Gamebryo3D cross-platform game engine. He received a BS in Math/Computer Science from Brown University and an MS in Computer Science from the University of North Carolina at Chapel Hill. His outside interests include photography, drumming, and playing bass guitar.
