Animating Calculus
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Animation – Process, Cognition and Actuality
Author: Dan Torre
language: en
Publisher: Bloomsbury Publishing USA
Release Date: 2017-08-24
Animation - Process, Cognition and Actuality presents a uniquely philosophical and multi-disciplinary approach to the scholarly study of animation, by using the principles of process philosophy and Deleuzian film aesthetics to discuss animation practices, from early optical devices to contemporary urban design and installations. Some of the original theories presented are a process-philosophy based theory of animation; a cognitive theory of animation; a new theoretical approach to the animated documentary; an original investigative approach to animation; and unique considerations as to the convergence of animation and actuality. Numerous animated examples (from all eras and representing a wide range of techniques and approaches – including television shows and video games) are examined, such as Fantastic Mr. Fox (2009), Madame Tutli-Putli (2007), Gertie the Dinosaur (1914), The Peanuts Movie (2015), Grand Theft Auto V (2013) and Dr. Katz: Professional Therapist (1995–2000). Divided into three sections, each to build logically upon each other, Dan Torre first considers animation in terms of process and process philosophy, which allows the reader to contemplate animation in a number of unique ways. Torre then examines animation in more conceptual terms in comparing it to the processes of human cognition. This is followed by an exploration of some of the ways in which we might interpret or 'read' particular aspects of animation, such as animated performance, stop-motion, anthropomorphism, video games, and various hybrid forms of animation. He finishes by guiding the discussion of animation back to the more tangible and concrete as it considers animation within the context of the actual world. With a genuinely distinctive approach to the study of animation, Torre offers fresh philosophical and practical insights that prompt an engagement with the definitions and dynamics of the form, and its current literature.
Animating Calculus
Animating Calculus is designed to help you explore calculus and visualize concepts through the use of computation and animation. This collection of 22 labs, together with the computer algebra system Mathematica, can be used for self-study, demonstration, or as a laboratory supplement to an existing calculus sequence. Standard calculus topics as well as new and unusual extensions and applications are presented, including derivatives and rate of change, calculus and landing airplanes, population dynamics and iteration, the fundamental theorem, The Buffon needle problem, numerical and symbolic integration, rolling wheels (round and square), subtleties of the harmonic series, and more. Animating Calculus includes exercises and demonstrations that focus on important and fundamental ideas and applications rather than the everyday mechanics of a computer algebra system. Sophisticated animations are used to clarify geometric concepts in calculus. In addition, discussions of numerical and graphical pitfalls help the student to understand the importance of verifying results. Originally published by W. H. Freeman, this new TELOS edition of Animating Calculus includes the full set of labs for DOS/Windows as well as Macintosh platforms.
Animating Calculus
Calculus and change. The two words go together. Calculus is about change, and approaches to teaching calculus are changing dramatically. Thus it is both timely and appropriate to apply techniques of animation to the varied and important graphical aspects of calculus. AB a computer algebra system, Mathematica is an excellent tool for numerical and symbolic computation. It also has the power to generate striking and colorful graphical images and to animate them dynamically. The combination of these capabilities makes Mathematica a natural resource for exploring the changing world of calculus and approaches to mastering it. In addition, Mathematica notebooks are easy to edit, allowing flexible input for commands to Mathematica and stylish text for explanation to the reader. Much has been written about the use and importance of technology in the teaching and learning of calculus. We will not repeat the arguments or feign objectivity. We are enthusiastic believers in the value of a significant laboratory experience as part oflearning calculus, and we think Mathematica notebooks are a most appropriate and exciting way to provide that experience. The notebooks that follow represent our choice of laboratory topics for a course in one-variable calculus. They offer a balance between what we think belongs in a first-year calculus course and what lends itself well to exploration in a Mathematica laboratory setting.