- This updated version of Animation Maths is an accessible and practical guide to animation programming This updated version of Animation Maths is an accessible and practical guide to animation programming. It opens with arithmetic, solving systems and trigonometry fundamentals, then guides the reader through standard topics such as real functions, the relevant golden section, coordinate systems and vectors. All the subsequent topics are programming oriented and calculus-free and have been selected to add efficiency to your games and animations. In addition to programmable kinematics, Animation Maths offers collision detection, the parametric equations of lines and planes in 3D, and matrices, which are covered in great detail. On its extension to complex numbers, Animation Maths shows the abilities of quaternions as superior 3D rotators.

Exploring the ways in which maths skills can be learned through cross-curricular projects on arts and music, this book presents maths as a meaningful and exciting subject which holds no fear for children.

Flash is fading fast as Canvas continues to climb. The second edition of this popular book gets you started with HTML5 Canvas by showing you how to build interactive multimedia applications. You’ll learn how to draw, render text, manipulate images, and create animation—all in the course of building an interactive web game throughout the book. Updated for the latest implementations of Canvas and related HTML5 technologies, this edition includes clear and reusable code examples to help you quickly pick up the basics—whether you currently use Flash, Silverlight, or just HTML and JavaScript. Discover why HTML5 is the future of innovative web development. Create and modify 2D drawings, text, and bitmap images Use algorithms for math-based movement and physics interactions Incorporate and manipulate video, and add audio Build a basic framework for creating a variety of games Use bitmaps and tile sheets to develop animated game graphics Go mobile: build web apps and then modify them for iOS devices Explore ways to use Canvas for 3D and multiplayer game applications

There is nothing quite like that feeling you get when you see that look of recognition and enjoyment on your students' faces. Not just the strong ones, but everyone is nodding in agreement during your first explanation of the geometry of directional derivatives. If you have incorporated animated demonstrations into your teaching, you know how effective they can be in eliciting this kind of response. You know the value of giving students vivid moving images to tie to concepts. But learning to make animations generally requires extensive searching through a vast computer algebra system for the pertinent functions. Maple Animation brings together virtually all of the functions and procedures useful in creating sophisticated animations using Maple 7, 8, or 9 and it presents them in a logical, accessible way. The accompanying downloadable resources provide all of the Maple code used in the book, including the code for more than 30 ready-to-use demonstrations. From Newton's method to linear transformations, the complete animations included in this book allow you to use them straight out of the box. Careful explanations of the methods teach you how to implement your own creative ideas. Whether you are a novice or an experienced Maple user, Maple Animation provides the tools and skills to enhance your teaching and your students' enjoyment of the subject through animation.

Mathematics Education with Digital Technology examines ways in which widely available digital technologies can be used to benefit the teaching and learning of mathematics. The contributors offer their insights to locate the value of digital technology for mathematics learning within the context of evidence from documented practice, prior research and of educational policy making. Key pedagogical uses of digital technologies are evaluated in relation to effective mathematics learning and practical ideas for teaching and learning mathematics with digital technology are critically analysed. The volume concludes by looking at future developments and by considering the ways in which ICT could be used as a catalyst for cross-curricular work to achieve greater curricular coherence.

Experimental Animation: From Analogue to Digital, focuses on both experimental animation’s deep roots in the twentieth century, and its current position in the twenty-first century media landscape. Each chapter incorporates a variety of theoretical lenses, including historical, materialist, phenomenological and scientific perspectives. Acknowledging that process is a fundamental operation underlining experimental practice, the book includes not only chapters by international academics, but also interviews with well-known experimental animation practitioners such as William Kentridge, Jodie Mack, Larry Cuba, Martha Colburn and Max Hattler. These interviews document both their creative process and thoughts about experimental animation’s ontology to give readers insight into contemporary practice. Global in its scope, the book features and discusses lesser known practitioners and unique case studies, offering both undergraduate and graduate students a collection of valuable contributions to film and animation studies.

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.