Essential Mathematics For Games And Interactive Applications

Author : James M. Van Verth,Lars M. Bishop
Publisher : CRC Press
Page : 706 pages
File Size : 41,5 Mb
Release : 2008-05-19
Category : Art
ISBN : 9780123742971

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Essential Mathematics for Games and Interactive Applications by James M. Van Verth,Lars M. Bishop Pdf

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.

Author : James M. Van Verth,Lars M. Bishop
Publisher : CRC Press
Page : 618 pages
File Size : 42,9 Mb
Release : 2015-09-15
Category : Computers
ISBN : 9781482250954

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Essential Mathematics for Games and Interactive Applications by James M. Van Verth,Lars M. Bishop Pdf

Expert Guidance on the Math Needed for 3D Game ProgrammingDeveloped 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 discus

Author : Ian Millington
Publisher : CRC Press
Page : 542 pages
File Size : 51,8 Mb
Release : 2010-07-23
Category : Art
ISBN : 9780123819772

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Game Physics Engine Development by Ian Millington Pdf

Physics is really important to game programmers who need to know how to add physical realism to their games. They need to take into account the laws of physics when creating a simulation or game engine, particularly in 3D computer graphics, for the purpose of making the effects appear more real to the observer or player.The game engine ne

Author : James M. Van Verth,Lars M. Bishop
Publisher : CRC Press
Page : 676 pages
File Size : 51,8 Mb
Release : 2004-03-25
Category : Art
ISBN : 155860863X

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Essential Mathematics for Games and Interactive Applications by James M. Van Verth,Lars M. Bishop Pdf

"Even though I've worked with these systems for years, I found 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. Based on the authors' popular tutorials at the Game Developers Conference, Essential Mathematics for Games and Interactive Applications presents the core mathematics necessary for sophisticated 3D graphics and interactive physical simulations. The book begins with linear algebra and matrix manipulation and expands on this foundation to cover such topics as texture filtering, interpolation, animation, and basic game physics. Essential Mathematics focuses on the issues of 3D game development important to programmers and includes optimization guidance throughout.

Author : Kelvin Sung,Gregory Smith
Publisher : Apress
Page : 414 pages
File Size : 40,8 Mb
Release : 2019-12-05
Category : Computers
ISBN : 9781484254431

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Basic Math for Game Development with Unity 3D by Kelvin Sung,Gregory Smith Pdf

Use Unity-based examples to understand fundamental mathematical concepts and see how they are applied when building modern video game functionality. You will gain the theoretical foundation you need, and you will know how to examine and modify an implementation. This book covers points in a 3D Cartesian coordinate system, and then discusses vectors and the details of dot and cross products. Basic mathematical foundations are illustrated through Unity-based example implementations. Also provided are examples showing how the concepts are applied when implementing video game functionality, such as collision support, motion simulations, autonomous behaviors, shadow approximations, and reflection off arbitrary walls. Throughout this book, you learn and examine the concepts and their applications in a game engine. What You Will Learn Understand the basic concepts of points and vectors and their applications in game developmentApply mathematical concepts to modern video game functionality, such as spherical and box collidersImplement autonomous behaviors, including following way points, facing a target, chasing an object, etc. Who This Book is For Beginners, and those interested in the implementation of interactive games, who need a basic mathematical background or a refresher with modern examples

Author : Paul Orland
Publisher : Manning Publications
Page : 686 pages
File Size : 47,6 Mb
Release : 2021-01-12
Category : Computers
ISBN : 9781617295355

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Math for Programmers by Paul Orland Pdf

In Math for Programmers you’ll explore important mathematical concepts through hands-on coding. Filled with graphics and more than 300 exercises and mini-projects, this book unlocks the door to interesting–and lucrative!–careers in some of today’s hottest fields. As you tackle the basics of linear algebra, calculus, and machine learning, you’ll master the key Python libraries used to turn them into real-world software applications. Summary To score a job in data science, machine learning, computer graphics, and cryptography, you need to bring strong math skills to the party. Math for Programmers teaches the math you need for these hot careers, concentrating on what you need to know as a developer. Filled with lots of helpful graphics and more than 200 exercises and mini-projects, this book unlocks the door to interesting–and lucrative!–careers in some of today’s hottest programming fields. Purchase of the print book includes a free eBook in PDF, Kindle, and ePub formats from Manning Publications. About the technology Skip the mathematical jargon: This one-of-a-kind book uses Python to teach the math you need to build games, simulations, 3D graphics, and machine learning algorithms. Discover how algebra and calculus come alive when you see them in code! About the book In Math for Programmers you’ll explore important mathematical concepts through hands-on coding. Filled with graphics and more than 300 exercises and mini-projects, this book unlocks the door to interesting–and lucrative!–careers in some of today’s hottest fields. As you tackle the basics of linear algebra, calculus, and machine learning, you’ll master the key Python libraries used to turn them into real-world software applications. What's inside Vector geometry for computer graphics Matrices and linear transformations Core concepts from calculus Simulation and optimization Image and audio processing Machine learning algorithms for regression and classification About the reader For programmers with basic skills in algebra. About the author Paul Orland is a programmer, software entrepreneur, and math enthusiast. He is co-founder of Tachyus, a start-up building predictive analytics software for the energy industry. You can find him online at www.paulor.land. Table of Contents 1 Learning math with code PART I - VECTORS AND GRAPHICS 2 Drawing with 2D vectors 3 Ascending to the 3D world 4 Transforming vectors and graphics 5 Computing transformations with matrices 6 Generalizing to higher dimensions 7 Solving systems of linear equations PART 2 - CALCULUS AND PHYSICAL SIMULATION 8 Understanding rates of change 9 Simulating moving objects 10 Working with symbolic expressions 11 Simulating force fields 12 Optimizing a physical system 13 Analyzing sound waves with a Fourier series PART 3 - MACHINE LEARNING APPLICATIONS 14 Fitting functions to data 15 Classifying data with logistic regression 16 Training neural networks

Author : Teresa Bradley
Publisher : John Wiley & Sons
Page : 693 pages
File Size : 51,8 Mb
Release : 2013-05-06
Category : Business & Economics
ISBN : 9781118358290

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Essential Mathematics for Economics and Business by Teresa Bradley Pdf

Essential Mathematics for Economics and Business is established as one of the leading introductory textbooks on mathematics for students of business and economics. Combining a user–friendly approach to mathematics with practical applications to the subjects, the text provides students with a clear and comprehensible guide to mathematics. The fundamental mathematical concepts are explained in a simple and accessible style, using a wide selection of worked examples, progress exercises and real–world applications. New to this Edition Fully updated text with revised worked examples and updated material on Excel and Powerpoint New exercises in mathematics and its applications to give further clarity and practice opportunities Fully updated online material including animations and a new test bank The fourth edition is supported by a companion website at www.wiley.com/college/bradley, which contains: Animations of selected worked examples providing students with a new way of understanding the problems Access to the Maple T.A. test bank, which features over 500 algorithmic questions Further learning material, applications, exercises and solutions. Problems in context studies, which present the mathematics in a business or economics framework. Updated PowerPoint slides, Excel problems and solutions. "The text is aimed at providing an introductory-level exposition of mathematical methods for economics and business students. In terms of level, pace, complexity of examples and user-friendly style the text is excellent - it genuinely recognises and meets the needs of students with minimal maths background." —Colin Glass, Emeritus Professor, University of Ulster "One of the major strengths of this book is the range of exercises in both drill and applications. Also the 'worked examples' are excellent; they provide examples of the use of mathematics to realistic problems and are easy to follow." —Donal Hurley, formerly of University College Cork "The most comprehensive reader in this topic yet, this book is an essential aid to the avid economist who loathes mathematics!" —Amazon.co.uk

Author : Fletcher Dunn,Ian Parberry
Publisher : CRC Press
Page : 848 pages
File Size : 52,6 Mb
Release : 2011-11-02
Category : Computers
ISBN : 9781568817231

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3D Math Primer for Graphics and Game Development, 2nd Edition by Fletcher Dunn,Ian Parberry Pdf

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.

Author : Michael Haese,Mark Humphries,Ngoc Vo
Publisher : Unknown
Page : 128 pages
File Size : 54,9 Mb
Release : 2021-05
Category : Electronic
ISBN : 1922416185

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Mathematics for Australia 7 by Michael Haese,Mark Humphries,Ngoc Vo Pdf

Author : Ian Millington
Publisher : CRC Press
Page : 1050 pages
File Size : 44,9 Mb
Release : 2019-03-18
Category : Art
ISBN : 9781351053280

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AI for Games, Third Edition by Ian Millington Pdf

AI is an integral part of every video game. This book helps professionals keep up with the constantly evolving technological advances in the fast growing game industry and equips students with up-to-date information they need to jumpstart their careers. This revised and updated Third Edition includes new techniques, algorithms, data structures and representations needed to create powerful AI in games. Key Features A comprehensive professional tutorial and reference to implement true AI in games Includes new exercises so readers can test their comprehension and understanding of the concepts and practices presented Revised and updated to cover new techniques and advances in AI Walks the reader through the entire game AI development process

Author : Fabio Ganovelli,Massimiliano Corsini,Sumanta Pattanaik,Marco Di Benedetto
Publisher : CRC Press
Page : 427 pages
File Size : 46,8 Mb
Release : 2014-10-17
Category : Computers
ISBN : 9781439852798

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Introduction to Computer Graphics by Fabio Ganovelli,Massimiliano Corsini,Sumanta Pattanaik,Marco Di Benedetto Pdf

Teach Your Students How to Create a Graphics Application Introduction to Computer Graphics: A Practical Learning Approach guides students in developing their own interactive graphics application. The authors show step by step how to implement computer graphics concepts and theory using the EnvyMyCar (NVMC) framework as a consistent example throughout the text. They use the WebGL graphics API to develop NVMC, a simple, interactive car racing game. Each chapter focuses on a particular computer graphics aspect, such as 3D modeling and lighting. The authors help students understand how to handle 3D geometric transformations, texturing, complex lighting effects, and more. This practical approach leads students to draw the elements and effects needed to ultimately create a visually pleasing car racing game. The code is available at www.envymycarbook.com

Author : David M. Bourg
Publisher : "O'Reilly Media, Inc."
Page : 348 pages
File Size : 47,8 Mb
Release : 2002
Category : Physics
ISBN : 0596000065

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Physics for Game Developers by David M. Bourg Pdf

By applying physics to game design, you can realistically model everything that bounces, flies, rolls, or slides, to create believable content for computer games, simulations, and animation. This book serves as the starting point for those who want to enrich games with physics-based realism.

Author : Eric Lengyel
Publisher : Unknown
Page : 128 pages
File Size : 43,7 Mb
Release : 2020-08
Category : Electronic
ISBN : 0357671090

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Mathematics for 3D Game Programming and Computer Graphics by Eric Lengyel Pdf

Sooner or later, all game programmers run into coding issues that require an understanding of mathematics or physics concepts such as collision detection, 3D vectors, transformations, game theory, or basic calculus. Unfortunately, most programmers frequently have a limited understanding of these essential mathematics and physics concepts. MATHEMATICS AND PHYSICS FOR PROGRAMMERS, THIRD EDITION provides a simple but thorough grounding in the mathematics and physics topics that programmers require to write algorithms and programs using a non-language-specific approach. Applications and examples from game programming are included throughout, and exercises follow each chapter for additional practice. The book's companion website provides sample code illustrating the mathematical and physics topics discussed in the book.

Author : Gino van den Bergen
Publisher : CRC Press
Page : 308 pages
File Size : 43,9 Mb
Release : 2003-10-27
Category : Art
ISBN : 9781482297997

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Collision Detection in Interactive 3D Environments by Gino van den Bergen Pdf

The heart of any system that simulates the physical interaction between objects is collision detection-the ability to detect when two objects have come into contact. This system is also one of the most difficult aspects of a physical simulation to implement correctly, and invariably it is the main consumer of CPU cycles. Practitioners, new to the f

Author : Avi Wigderson
Publisher : Princeton University Press
Page : 434 pages
File Size : 49,9 Mb
Release : 2019-10-29
Category : Computers
ISBN : 9780691189130

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Mathematics and Computation by Avi Wigderson Pdf

An introduction to computational complexity theory, its connections and interactions with mathematics, and its central role in the natural and social sciences, technology, and philosophy Mathematics and Computation provides a broad, conceptual overview of computational complexity theory—the mathematical study of efficient computation. With important practical applications to computer science and industry, computational complexity theory has evolved into a highly interdisciplinary field, with strong links to most mathematical areas and to a growing number of scientific endeavors. Avi Wigderson takes a sweeping survey of complexity theory, emphasizing the field’s insights and challenges. He explains the ideas and motivations leading to key models, notions, and results. In particular, he looks at algorithms and complexity, computations and proofs, randomness and interaction, quantum and arithmetic computation, and cryptography and learning, all as parts of a cohesive whole with numerous cross-influences. Wigderson illustrates the immense breadth of the field, its beauty and richness, and its diverse and growing interactions with other areas of mathematics. He ends with a comprehensive look at the theory of computation, its methodology and aspirations, and the unique and fundamental ways in which it has shaped and will further shape science, technology, and society. For further reading, an extensive bibliography is provided for all topics covered. Mathematics and Computation is useful for undergraduate and graduate students in mathematics, computer science, and related fields, as well as researchers and teachers in these fields. Many parts require little background, and serve as an invitation to newcomers seeking an introduction to the theory of computation. Comprehensive coverage of computational complexity theory, and beyond High-level, intuitive exposition, which brings conceptual clarity to this central and dynamic scientific discipline Historical accounts of the evolution and motivations of central concepts and models A broad view of the theory of computation's influence on science, technology, and society Extensive bibliography