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Animating Calculus
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Book Synopsis Animating Calculus by : Edward W. Packel
Download or read book Animating Calculus written by Edward W. Packel and published by Springer. This book was released on 1997 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Animation Maths written by Ivo De Pauw and published by Lannoo Publishers. This book was released on 2021-11-08 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: - 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.
Book Synopsis Animation ? Process, Cognition and Actuality by : Dan Torre
Download or read book Animation ? Process, Cognition and Actuality written by Dan Torre and published by Bloomsbury Publishing USA. This book was released on 2017-08-24 with total page 313 pages. Available in PDF, EPUB and Kindle. Book excerpt: Applies the principles of process philosophy and Deleuzian film aesthetics to animation as a genre and medium.
Book Synopsis Infinite Powers by : Steven Strogatz
Download or read book Infinite Powers written by Steven Strogatz and published by Mariner Books. This book was released on 2019 with total page 389 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the captivating story of mathematics' greatest ever idea: calculus. Without it, there would be no computers, no microwave ovens, no GPS, and no space travel. But before it gave modern man almost infinite powers, calculus was behind centuries of controversy, competition, and even death. Taking us on a thrilling journey through three millennia, professor Steven Strogatz charts the development of this seminal achievement from the days of Aristotle to today's million-dollar reward that awaits whoever cracks Reimann's hypothesis. Filled with idiosyncratic characters from Pythagoras to Euler, Infinite Powers is a compelling human drama that reveals the legacy of calculus on nearly every aspect of modern civilization, including science, politics, ethics, philosophy, and much besides.
Download or read book Calculus written by Jon Rogawski and published by Macmillan. This book was released on 2008-06-23 with total page 1180 pages. Available in PDF, EPUB and Kindle. Book excerpt: This new text presents calculus with solid mathematical precision but with an everyday sensibility that puts the main concepts in clear terms. It is rigorous without being inaccessible and clear without being too informal it has the perfect balance for instructors and their students.
Book Synopsis Physics for Flash Games, Animation, and Simulations by : Adrian Dobre
Download or read book Physics for Flash Games, Animation, and Simulations written by Adrian Dobre and published by Apress. This book was released on 2012-01-31 with total page 547 pages. Available in PDF, EPUB and Kindle. Book excerpt: Physics for Flash Games, Animation, and Simulations teaches ActionScript programmers how to incorporate real physics into their Flash animations, games, user interfaces, and simulations. Introduces Flash physics in an accurate, but approachable way, covering what is required to produce physically realistic simulations (as opposed to animations that look roughly right) Packed full of practical examples of how physics can be applied to your own games and applications Addresses the diverse needs of game developers, animators, artists, and e-learning developers The book assumes a basic knowledge of ActionScript and Flash. However, no previous knowledge of physics is required—only some very basic math skills. The authors present everything from basic principles to advanced concepts, so you'll be able to follow the logic and easily adapt the principles to your own applications. The book builds on your physics knowledge, enabling you to create not only visual effects, but also more complex models and simulations.
Book Synopsis Single Variable Calculus by : Jon Rogawski
Download or read book Single Variable Calculus written by Jon Rogawski and published by Macmillan. This book was released on 2007-06-11 with total page 780 pages. Available in PDF, EPUB and Kindle. Book excerpt: The single-variable volume of Rogawski's new text presents this section of the calculus course with solid mathematical precision but with an everyday sensibility that puts the main concepts in clear terms. It is rigorous without being inaccessible and clear without being too informal--it has the perfect balance for instructors and their students.
Book Synopsis The Cartoon Guide to Calculus by : Larry Gonick
Download or read book The Cartoon Guide to Calculus written by Larry Gonick and published by HarperCollins. This book was released on 2012-03-27 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: A complete—and completely enjoyable—new illustrated guide to calculus Master cartoonist Larry Gonick has already given readers the history of the world in cartoon form. Now, Gonick, a Harvard-trained mathematician, offers a comprehensive and up-to-date illustrated course in first-year calculus that demystifies the world of functions, limits, derivatives, and integrals. Using clear and helpful graphics—and delightful humor to lighten what is frequently a tough subject—he teaches all of the essentials, with numerous examples and problem sets. For the curious and confused alike, The Cartoon Guide to Calculus is the perfect combination of entertainment and education—a valuable supplement for any student, teacher, parent, or professional.
Book Synopsis A First Course in Calculus by : Serge Lang
Download or read book A First Course in Calculus written by Serge Lang and published by Springer Science & Business Media. This book was released on 2012-09-17 with total page 741 pages. Available in PDF, EPUB and Kindle. Book excerpt: This fifth edition of Lang's book covers all the topics traditionally taught in the first-year calculus sequence. Divided into five parts, each section of A FIRST COURSE IN CALCULUS contains examples and applications relating to the topic covered. In addition, the rear of the book contains detailed solutions to a large number of the exercises, allowing them to be used as worked-out examples -- one of the main improvements over previous editions.
Book Synopsis Calculus: Early Transcendentals (Paper) by : Jon Rogawski
Download or read book Calculus: Early Transcendentals (Paper) written by Jon Rogawski and published by Macmillan. This book was released on 2007-06-22 with total page 1216 pages. Available in PDF, EPUB and Kindle. Book excerpt: This new text presents calculus with solid mathematical precision but with an everyday sensibility that puts the main concepts in clear terms. It is rigorous without being inaccessible and clear without being too informal--it has the perfect balance for instructors and their students. Also available in a late transcendentals version (0-7167-6911-5).
Book Synopsis Twenty Key Ideas in Beginning Calculus by : Dan Umbarger
Download or read book Twenty Key Ideas in Beginning Calculus written by Dan Umbarger and published by . This book was released on 2011-05-01 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: A high-school mathematics teacher who learned how to sequence and present ideas during his 30-year career presents a bridge for beginning calculus students to study independently in preparation for a traditional calculus curriculum or as supplemental material for students who are currently in a calculus class.
Book Synopsis AI for Games and Animation by : John David Funge
Download or read book AI for Games and Animation written by John David Funge and published by CRC Press. This book was released on 1999-07-22 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: John Funge introduces a new approach to creating autonomous characters. Cognitive modeling provides computer-animated characters with logic, reasoning, and planning skills. Individual chapters in the book provide concrete examples of advanced character animation, automated cinematography, and a real-time computer game. Source code, animations, imag
Book Synopsis Single Variable Calculus: Early Transcendentals by : Jon Rogawski
Download or read book Single Variable Calculus: Early Transcendentals written by Jon Rogawski and published by Macmillan. This book was released on 2007-06-11 with total page 828 pages. Available in PDF, EPUB and Kindle. Book excerpt: Organized to support an "early transcendentals" approach to the single variable course, this version of Rogawski's highly anticipated text presents calculus with solid mathematical precision but with an everyday sensibility that puts the main concepts in clear terms. It is rigorous without being inaccessible and clear without being too informal--it has the perfect balance for instructors and their students.
Book Synopsis Physics for JavaScript Games, Animation, and Simulations by : Adrian Dobre
Download or read book Physics for JavaScript Games, Animation, and Simulations written by Adrian Dobre and published by Apress. This book was released on 2014-06-14 with total page 490 pages. Available in PDF, EPUB and Kindle. Book excerpt: Have you ever wanted to include believable physical behaviors in your games and projects to give them that extra edge? Physics for JavaScript Games, Animation, and Simulations teaches you how to incorporate real physics, such as gravity, friction, and buoyancy, into your HTML5 games, animations, and simulations. It also includes more advanced topics, such as particle systems, which are essential for creating effects such as sparks or smoke. The book also addresses the key issue of balancing accuracy and simplicity in your games and simulations, and the final chapters provide you with the information and the code to make the right choice for your project. Physics for JavaScript Games, Animation, and Simulations assumes you have a basic knowledge of JavaScript and HTML5. However, no previous knowledge of physics is required—only some very basic math skills. The authors present everything from basic principles to advanced concepts in an approachable way, so you’ll be able to follow the logic and easily adapt the principles to your own applications. The book is packed full of practical examples of how you can apply physics to your own games and applications. Spring behaviors can be used for anything from tweaking lowrider suspension to creating cloth simulation; flotation mechanics enable the simulation of submersibles or dirigibles; you can even create your own solar system with accurate orbits and gravity. It doesn’t matter if you’re modeling the Lorentz force in an electromagnetic field or you’re modeling the lift force in a flight simulator, Physics for JavaScript Games, Animation, and Simulations enables you to fill your games and applications with accurate and realistic effects.
Book Synopsis More Calculus of a Single Variable by : Peter R. Mercer
Download or read book More Calculus of a Single Variable written by Peter R. Mercer and published by Springer. This book was released on 2014-10-17 with total page 419 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book goes beyond the basics of a first course in calculus to reveal the power and richness of the subject. Standard topics from calculus — such as the real numbers, differentiation and integration, mean value theorems, the exponential function — are reviewed and elucidated before digging into a deeper exploration of theory and applications, such as the AGM inequality, convexity, the art of integration, and explicit formulas for π. Further topics and examples are introduced through a plethora of exercises that both challenge and delight the reader. While the reader is thereby exposed to the many threads of calculus, the coherence of the subject is preserved throughout by an emphasis on patterns of development, of proof and argumentation, and of generalization. More Calculus of a Single Variable is suitable as a text for a course in advanced calculus, as a supplementary text for courses in analysis, and for self-study by students, instructors, and, indeed, all connoisseurs of ingenious calculations.
Book Synopsis Calculus: Early Transcendentals (Paper) by : Jon Rogawski
Download or read book Calculus: Early Transcendentals (Paper) written by Jon Rogawski and published by Macmillan Higher Education. This book was released on 2011-03-30 with total page 1207 pages. Available in PDF, EPUB and Kindle. Book excerpt: What’s the ideal balance? How can you make sure students get both the computational skills they need and a deep understanding of the significance of what they are learning? With your teaching—supported by Rogawski’s Calculus Second Edition—the most successful new calculus text in 25 years! Widely adopted in its first edition, Rogawski’s Calculus worked for instructors and students by balancing formal precision with a guiding conceptual focus. Rogawski engages students while reinforcing the relevance of calculus to their lives and future studies. Precise mathematics, vivid examples, colorful graphics, intuitive explanations, and extraordinary problem sets all work together to help students grasp a deeper understanding of calculus. Now Rogawski’s Calculus success continues in a meticulously updated new edition. Revised in response to user feedback and classroom experiences, the new edition provides an even smoother teaching and learning experience.
Book Synopsis Introduction to Real Analysis by : William C. Bauldry
Download or read book Introduction to Real Analysis written by William C. Bauldry and published by John Wiley & Sons. This book was released on 2011-09-09 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: An accessible introduction to real analysis and its connectionto elementary calculus Bridging the gap between the development and history of realanalysis, Introduction to Real Analysis: An EducationalApproach presents a comprehensive introduction to real analysiswhile also offering a survey of the field. With its balance ofhistorical background, key calculus methods, and hands-onapplications, this book provides readers with a solid foundationand fundamental understanding of real analysis. The book begins with an outline of basic calculus, including aclose examination of problems illustrating links and potentialdifficulties. Next, a fluid introduction to real analysis ispresented, guiding readers through the basic topology of realnumbers, limits, integration, and a series of functions in naturalprogression. The book moves on to analysis with more rigorousinvestigations, and the topology of the line is presented alongwith a discussion of limits and continuity that includes unusualexamples in order to direct readers' thinking beyond intuitivereasoning and on to more complex understanding. The dichotomy ofpointwise and uniform convergence is then addressed and is followedby differentiation and integration. Riemann-Stieltjes integrals andthe Lebesgue measure are also introduced to broaden the presentedperspective. The book concludes with a collection of advancedtopics that are connected to elementary calculus, such as modelingwith logistic functions, numerical quadrature, Fourier series, andspecial functions. Detailed appendices outline key definitions and theorems inelementary calculus and also present additional proofs, projects,and sets in real analysis. Each chapter references historicalsources on real analysis while also providing proof-orientedexercises and examples that facilitate the development ofcomputational skills. In addition, an extensive bibliographyprovides additional resources on the topic. Introduction to Real Analysis: An Educational Approach isan ideal book for upper- undergraduate and graduate-level realanalysis courses in the areas of mathematics and education. It isalso a valuable reference for educators in the field of appliedmathematics.