Essential Mathematics for Games and Interactive Applications, Third Edition

Author: James M. Van Verth,Lars M. Bishop

Publisher: CRC Press

ISBN: 1482250950

Category: Computers

Page: 592

View: 6871

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Expert Guidance on the Math Needed for 3D Game Programming Developed from the authors’ popular Game Developers Conference (GDC) tutorial, Essential Mathematics for Games and Interactive Applications, Third Edition illustrates the importance of mathematics in 3D programming. It shows you how to properly animate, simulate, and render scenes and discusses the mathematics behind the processes. New to the Third Edition Completely revised to fix errors and make the content flow better, this third edition reflects the increased use of shader graphics pipelines, such as in DirectX 11, OpenGL ES (GLES), and the OpenGL Core Profile. It also updates the material on real-time graphics with coverage of more realistic materials and lighting. The Foundation for Successful 3D Programming The book covers the low-level mathematical and geometric representations and algorithms that are the core of any game engine. It also explores all the stages of the rendering pipeline. The authors explain how to represent, transform, view, and animate geometry. They then focus on visual matters, specifically the representation, computation, and use of color. They also address randomness, intersecting geometric entities, and physical simulation. An Introduction to Creating Real and Active Virtual Worlds This updated book provides you with a conceptual understanding of the mathematics needed to create 3D games as well as a practical understanding of how these mathematical bases actually apply to games and graphics. It not only includes the theoretical mathematical background but also incorporates many examples of how the concepts are used to affect how a game looks and plays. Web Resource A supplementary website contains a collection of source code, supporting libraries, and interactive demonstrations that illustrate the concepts and enable you to experiment with animation and simulation applications. The site also includes slides and notes from the authors’ GDC tutorials.

Essential Mathematics for Games and Interactive Applications

A Programmer's Guide, Second Edition

Author: James M. Van Verth,Lars M. Bishop

Publisher: CRC Press

ISBN: 0123742978

Category: Art

Page: 704

View: 7954

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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.

Essential Mathematics for Games and Interactive Applications

A Programmer's Guide, Second Edition

Author: James M. Van Verth,Lars M. Bishop

Publisher: CRC Press

ISBN: 008087861X

Category: Computers

Page: 704

View: 9168

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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.

3D Math Primer for Graphics and Game Development, 2nd Edition

Author: Fletcher Dunn,Ian Parberry

Publisher: CRC Press

ISBN: 1498759890

Category: Computers

Page: 846

View: 8307

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This engaging book presents the essential mathematics needed to describe, simulate, and render a 3D world. Reflecting both academic and in-the-trenches practical experience, the authors teach you how to describe objects and their positions, orientations, and trajectories in 3D using mathematics. The text provides an introduction to mathematics for game designers, including the fundamentals of coordinate spaces, vectors, and matrices. It also covers orientation in three dimensions, calculus and dynamics, graphics, and parametric curves.

Mathematics for 3D Game Programming and Computer Graphics, Third Edition

Author: Eric Lengyel

Publisher: Cengage Learning

ISBN: 1435458877

Category: Computer games

Page: 576

View: 5644

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This updated third edition addresses the mathematical skills that a programmer needs to develop a 3D game engine and computer graphics for professional-level games. MATHEMATICS FOR 3D GAME PROGRAMMING & COMPUTER GRAPHICS, THIRD EDITION is suitable for adv

Mathematics for Computer Graphics

Author: John Vince

Publisher: Springer

ISBN: 1447173368

Category: Computers

Page: 505

View: 726

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John Vince explains a wide range of mathematical techniques and problem-solving strategies associated with computer games, computer animation, virtual reality, CAD and other areas of computer graphics in this completely revised and expanded fifth edition. The first five chapters cover a general introduction, number sets, algebra, trigonometry and coordinate systems, which are employed in the following chapters on vectors, matrix algebra, transforms, interpolation, curves and patches, analytic geometry and barycentric coordinates. Following this, the reader is introduced to the relatively new topic of geometric algebra, followed by two chapters that introduce differential and integral calculus. Finally, there is a chapter on worked examples. Mathematics for Computer Graphics covers all of the key areas of the subject, including: · Number sets · Algebra · Trigonometry · Coordinate systems · Determinants · Vectors · Quaternions · Matrix algebra · Geometric transforms · Interpolation · Curves and surfaces · Analytic geometry · Barycentric coordinates · Geometric algebra · Differential calculus · Integral calculus This fifth edition contains over 120 worked examples and over 320 colour illustrations, which are central to the author’s descriptive writing style. Mathematics for Computer Graphics provides a sound understanding of the mathematics required for computer graphics, giving a fascinating insight into the design of computer graphics software and setting the scene for further reading of more advanced books and technical research papers.

Mathematics for Game Developers

Author: Christopher Tremblay

Publisher: Elsevier

ISBN: 9781592000388

Category: Computers

Page: 627

View: 2131

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Mathematics for Game Developers is just that—a math book designed specifically for the game developer, not the mathematician. As a game developer, you know that math is a fundamental part of your programming arsenal. In order to program a game that goes beyond the basics, you must first master concepts such as matrices and vectors. In this book, you will find some unique solutions for dealing with real problems you'll face when programming many types of 3D games. Not only will you learn how to solve these problems, you'll also learn why the solution works, enabling you to apply that solution to other problems. You'll also learn how to leverage software to help solve algebraic equations. Through numerous examples, this book clarifies how mathematical ideas fit together and how they apply to game programming.

Curves and Surfaces for Computer Graphics

Author: David Salomon

Publisher: Springer Science & Business Media

ISBN: 0387284524

Category: Computers

Page: 460

View: 4458

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Requires only a basic knowledge of mathematics and is geared toward the general educated specialists. Includes a gallery of color images and Mathematica code listings.

Holistic Game Development with Unity

An All-in-One Guide to Implementing Game Mechanics, Art, Design and Programming

Author: Penny de Byl

Publisher: CRC Press

ISBN: 1317497236

Category: Games & Activities

Page: 472

View: 4713

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Master game design and digital art principles simultaneously with this all-in-one guide to creating games in the cutting-edge game engine Unity 5. Bursting with images and tutorials, Penny de Byl’s Holistic Game Development with Unity will help the reader gain the multidisciplinary skills needed to succeed in the independent game industry. Holistic Game Development includes new coverage on Augmented Reality, Networking and Virtual Reality such as the Oculus Rift. Supplementary material, including instructional videos, discussion forms and art assets are provided in the companion website located at www.holistic3d.com. Learn to combine the beauty of art and the functionality of programming in de Byl’s second edition for Unity game development.

3D Game Engine Design

A Practical Approach to Real-Time Computer Graphics

Author: David H. Eberly

Publisher: CRC Press

ISBN: 1482267306

Category: Art

Page: 1040

View: 8488

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A major revision of the international bestseller on game programming! Graphics hardware has evolved enormously in the last decade. Hardware can now be directly controlled through techniques such as shader programming, which requires an entirely new thought process of a programmer. 3D Game Engine Design, Second Edition shows step-by-step how to make a shader-based graphics engine and how to tame the new technology. Much new material has been added, including more than twice the coverage of the essential techniques of scene graph management, as well as new methods for managing memory usage in the new generation of game consoles and portable game players. There are expanded discussions of collision detection, collision avoidance, and physics - all challenging subjects for developers.

Graphics Shaders

Theory and Practice, Second Edition

Author: Mike Bailey,Steve Cunningham

Publisher: CRC Press

ISBN: 1439867755

Category: Computers

Page: 518

View: 2571

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Graphics Shaders: Theory and Practice is intended for a second course in computer graphics at the undergraduate or graduate level, introducing shader programming in general, but focusing on the GLSL shading language. While teaching how to write programmable shaders, the authors also teach and reinforce the fundamentals of computer graphics. The second edition has been updated to incorporate changes in the OpenGL API (OpenGL 4.x and GLSL 4.x0) and also has a chapter on the new tessellation shaders, including many practical examples. The book starts with a quick review of the graphics pipeline, emphasizing features that are rarely taught in introductory courses, but are immediately exposed in shader work. It then covers shader-specific theory for vertex, tessellation, geometry, and fragment shaders using the GLSL 4.x0 shading language. The text also introduces the freely available glman tool that enables you to develop, test, and tune shaders separately from the applications that will use them. The authors explore how shaders can be used to support a wide variety of applications and present examples of shaders in 3D geometry, scientific visualization, geometry morphing, algorithmic art, and more. Features of the Second Edition: Written using the most recent specification releases (OpenGL 4.x and GLSL 4.x0) including code examples brought up-to-date with the current standard of the GLSL language. More examples and more exercises A chapter on tessellation shaders An expanded Serious Fun chapter with examples that illustrate using shaders to produce fun effects A discussion of how to handle the major changes occurring in the OpenGL standard, and some C++ classes to help you manage that transition The authors thoroughly explain the concepts, use sample code to describe details of the concepts, and then challenge you to extend the examples. They provide sample source code for many of the book’s examples at www.cgeducation.org

3D Engine Design for Virtual Globes

Author: Patrick Cozzi,Kevin Ring

Publisher: CRC Press

ISBN: 1568817118

Category: Computers

Page: 520

View: 4810

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Supported with code examples and the authors’ real-world experience, this book offers the first guide to engine design and rendering algorithms for virtual globe applications like Google Earth and NASA World Wind. The content is also useful for general graphics and games, especially planet and massive-world engines. With pragmatic advice throughout, it is essential reading for practitioners, researchers, and hobbyists in these areas, and can be used as a text for a special topics course in computer graphics. Topics covered include: Rendering globes, planet-sized terrain, and vector data Multithread resource management Out-of-core algorithms Shader-based renderer design

C++ for the Impatient

Author: Brian Overland

Publisher: Pearson Education

ISBN: 0321888022

Category: Computers

Page: 688

View: 6268

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C++ for the Impatient offers both the quickest way for busy programmers to learn the latest features of the C++ language and a handy resource for quickly finding answers to specific language questions. Designed to give you the most accurate and up-to-date information you require fast and to the point, this book is also an essential guide to the new C++11 standard, including advanced uses of the C++ standard library.

Mathematics and Physics for Programmers

Author: Danny Kodicek

Publisher: Cengage Learning

ISBN: 158450644X

Category: Computers

Page: 640

View: 2115

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Many programmers frequently have limited backgrounds in the mathematics and physics needed for game development or other complex applications. Sooner or later, all programmers run into coding issues that will require an understanding of mathematics or phy

Game Development Tools

Author: Marwan Ansari

Publisher: CRC Press

ISBN: 1439867720

Category: Computers

Page: 344

View: 7361

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This book brings the insights of game professionals, DCC creators, hardware vendors, and current researchers together into a collection that focuses on the most underrepresented and critical part of game production: tools development. The first gems-type book dedicated to game tools, this volume focuses on practical, implementable tools for game development professionals. Topics range from asset tracking to improving remote version control performance to robust and efficient IO. Technical artists, as well as game play, audio, and graphics programmers will find new tools to improve work flow and help build games faster.

Mathematics for Computer Graphics Applications

Author: Michael E. Mortenson

Publisher: Industrial Press Inc.

ISBN: 9780831131111

Category: Computers

Page: 354

View: 5442

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This completely revised Second Edition of "Computer Graphics" includes valuable information on major organizational changes within the last few years. This edition brings to the fore the basic mathematical tools of computer graphics, including vectors, matrices, and transformations. Additionally, it provides a strong, comprehensive base in exploring math, computer science, physics, engineering, and in special subjects such as algebraic and computational geometry, geometric modeling, and CAD/CAM. A highly diversified book that can be utilized as a primary textbook, supplemental teaching resource, individual tutorial, or key reference text. Includes new chapters on symmetry, limit and continuity, constructive solid geometry, and the Bezier curve. Provides many new figures and exercises. Contains an annotated suggested reading list with exercises and answers in each chapter. Appeals to both academics and professionals. Offers a new solutions manual for instructors.

Cybersecurity and Applied Mathematics

Author: Leigh Metcalf,William Casey

Publisher: Syngress

ISBN: 0128044993

Category: Computers

Page: 240

View: 6498

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Cybersecurity and Applied Mathematics explores the mathematical concepts necessary for effective cybersecurity research and practice, taking an applied approach for practitioners and students entering the field. This book covers methods of statistical exploratory data analysis and visualization as a type of model for driving decisions, also discussing key topics, such as graph theory, topological complexes, and persistent homology. Defending the Internet is a complex effort, but applying the right techniques from mathematics can make this task more manageable. This book is essential reading for creating useful and replicable methods for analyzing data. Describes mathematical tools for solving cybersecurity problems, enabling analysts to pick the most optimal tool for the task at hand Contains numerous cybersecurity examples and exercises using real world data Written by mathematicians and statisticians with hands-on practitioner experience

Game Programming Algorithms and Techniques

A Platform-agnostic Approach

Author: Sanjay Madhav

Publisher: Pearson Education

ISBN: 0321940156

Category: Computers

Page: 329

View: 5277

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Game Programming Algorithms and Techniques is a detailed overview of many of the important algorithms and techniques used in video game programming today. Designed for programmers who are familiar with object-oriented programming and basic data structures, this book focuses on practical concepts that see actual use in the game industry. Sanjay Madhav takes a unique platform- and framework-agnostic approach that will help develop virtually any game, in any genre, with any language or framework. He presents the fundamental techniques for working with 2D and 3D graphics, physics, artificial intelligence, cameras, and much more. Each concept is illuminated with pseudocode that will be intuitive to any C#, Java, or C++ programmer, and has been refined and proven in Madhav's game programming courses at the University of Southern California. Review questions after each chapter help solidify the most important concepts before moving on. Madhav concludes with a detailed analysis of two complete games: a 2D iOS side-scroller (written in Objective-Cusing cocos2d) and a 3D PC/Mac/Linux tower defense game (written in C# using XNA/ MonoGame). These games illustrate many of the algorithms and techniques covered in the earlier chapters, and the full source code is available at gamealgorithms.net. Coverage includes Game time management, speed control, and ensuring consistency on diverse hardware Essential 2D graphics techniques for modern mobile gaming Vectors, matrices, and linear algebra for 3D games 3D graphics including coordinate spaces, lighting and shading, z-buffering, and quaternions Handling today's wide array of digital and analog inputs Sound systems including sound events, 3D audio, and digital signal processing Fundamentals of game physics, including collision detection and numeric integration Cameras: first-person, follow, spline, and more Artificial intelligence: pathfinding, state-based behaviors, and strategy/planning User interfaces including menu systems and heads-up displays Scripting and text-based data files: when, how, and where to use them Basics of networked games including protocols and network topology

Essential Mathematics for Economics and Business

Author: Teresa Bradley

Publisher: John Wiley & Sons

ISBN: 1118358295

Category: Business & Economics

Page: 688

View: 6608

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Containing numerous worked examples and exercises, this text aims to help students improve their understanding of key concepts and to develop stronger mathematical skills.

Power-Up

Unlocking the Hidden Mathematics in Video Games

Author: Matthew Lane

Publisher: Princeton University Press

ISBN: 1400884829

Category: Mathematics

Page: 264

View: 4900

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A fun and lively look at the mathematical ideas concealed in video games Did you know that every time you pick up the controller to your PlayStation or Xbox, you are entering a game world steeped in mathematics? Power-Up reveals the hidden mathematics in many of today's most popular video games and explains why mathematical learning doesn't just happen in the classroom or from books—you're doing it without even realizing it when you play games on your cell phone. In this lively and entertaining book, Matthew Lane discusses how gamers are engaging with the traveling salesman problem when they play Assassin's Creed, why it is mathematically impossible for Mario to jump through the Mushroom Kingdom in Super Mario Bros., and how The Sims teaches us the mathematical costs of maintaining relationships. He looks at mathematical pursuit problems in classic games like Missile Command and Ms. Pac-Man, and how each time you play Tetris, you're grappling with one of the most famous unsolved problems in all of mathematics and computer science. Along the way, Lane discusses why Family Feud and Pictionary make for ho-hum video games, how realism in video games (or the lack of it) influences learning, what video games can teach us about the mathematics of voting, the mathematics of designing video games, and much more. Power-Up shows how the world of video games is an unexpectedly rich medium for learning about the beautiful mathematical ideas that touch all aspects of our lives—including our virtual ones.