Animating Calculus

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Animating Calculus

Author : Edward W. Packel
Publisher : Springer
ISBN 13 :
Total Pages : 320 pages
Book Rating : 4.X/5 (6 download)

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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.

Animating Calculus

Author : Ed Packel
Publisher : Springer
ISBN 13 : 9781461224082
Total Pages : 0 pages
Book Rating : 4.2/5 (24 download)

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Book Synopsis Animating Calculus by : Ed Packel

Download or read book Animating Calculus written by Ed Packel and published by Springer. This book was released on 1996-11-08 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Animating Calculus

Author : Edward W. Packel
Publisher : W H Freeman & Company
ISBN 13 : 9780716724285
Total Pages : 289 pages
Book Rating : 4.7/5 (242 download)

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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 W H Freeman & Company. This book was released on 1994-01-01 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: This workbook contains over two dozen laboratory modules that use Mathematica to enliven the teaching and learning of calculus. The labs range from standard calculus topics to new and unusual extensions and applications.

Animation ? Process, Cognition and Actuality

Author : Dan Torre
Publisher : Bloomsbury Publishing USA
ISBN 13 : 1501308149
Total Pages : 313 pages
Book Rating : 4.5/5 (13 download)

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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.

Calculus

Author : Jon Rogawski
Publisher : Macmillan
ISBN 13 : 1429229993
Total Pages : 1180 pages
Book Rating : 4.4/5 (292 download)

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Book Synopsis Calculus by : Jon Rogawski

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.

Single Variable Calculus

Author : Jon Rogawski
Publisher : Macmillan
ISBN 13 : 9781429210713
Total Pages : 780 pages
Book Rating : 4.2/5 (17 download)

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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.

Calculus: Early Transcendentals (Paper)

Author : Jon Rogawski
Publisher : Macmillan
ISBN 13 : 142923184X
Total Pages : 1207 pages
Book Rating : 4.4/5 (292 download)

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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 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.

Single Variable Calculus: Early Transcendentals

Author : Jon Rogawski
Publisher : Macmillan
ISBN 13 : 9781429210751
Total Pages : 828 pages
Book Rating : 4.2/5 (17 download)

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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.

Infinite Powers

Author : Steven Strogatz
Publisher : Eamon Dolan Books
ISBN 13 : 1328879984
Total Pages : 389 pages
Book Rating : 4.3/5 (288 download)

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Book Synopsis Infinite Powers by : Steven Strogatz

Download or read book Infinite Powers written by Steven Strogatz and published by Eamon Dolan Books. This book was released on 2019 with total page 389 pages. Available in PDF, EPUB and Kindle. Book excerpt: From preeminent math personality and author of The Joy of x, a brilliant and endlessly appealing explanation of calculus - how it works and why it makes our lives immeasurably better. Without calculus, we wouldn't have cell phones, TV, GPS, or ultrasound. We wouldn't have unraveled DNA or discovered Neptune or figured out how to put 5,000 songs in your pocket. Though many of us were scared away from this essential, engrossing subject in high school and college, Steven Strogatz's brilliantly creative, down‑to‑earth history shows that calculus is not about complexity; it's about simplicity. It harnesses an unreal number--infinity--to tackle real‑world problems, breaking them down into easier ones and then reassembling the answers into solutions that feel miraculous. Infinite Powers recounts how calculus tantalized and thrilled its inventors, starting with its first glimmers in ancient Greece and bringing us right up to the discovery of gravitational waves (a phenomenon predicted by calculus). Strogatz reveals how this form of math rose to the challenges of each age: how to determine the area of a circle with only sand and a stick; how to explain why Mars goes "backwards" sometimes; how to make electricity with magnets; how to ensure your rocket doesn't miss the moon; how to turn the tide in the fight against AIDS. As Strogatz proves, calculus is truly the language of the universe. By unveiling the principles of that language, Infinite Powers makes us marvel at the world anew.

The Cartoon Introduction to Calculus

Author : Yoram Bauman, Ph.D.
Publisher : Hill and Wang
ISBN 13 : 0809033712
Total Pages : 213 pages
Book Rating : 4.8/5 (9 download)

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Book Synopsis The Cartoon Introduction to Calculus by : Yoram Bauman, Ph.D.

Download or read book The Cartoon Introduction to Calculus written by Yoram Bauman, Ph.D. and published by Hill and Wang. This book was released on 2019-07-16 with total page 213 pages. Available in PDF, EPUB and Kindle. Book excerpt: The internationally bestselling authors of The Cartoon Introduction to Economics return to make calculus fun The award-winning illustrator Grady Klein has teamed up once again with the world’s only stand-up economist, Yoram Bauman, Ph.D., to take on the daunting subject of calculus. A supplement to traditional textbooks, The Cartoon Introduction to Calculus focuses on the big ideas rather than all the formulas you have to memorize. With Klein and Bauman as our guides, we scale the dual peaks of Mount Derivative and Mount Integral, and from their summits, we see how calculus relates to the rest of mathematics. Beginning with the problems of speed and area, Klein and Bauman show how the discipline is unified by a fundamental theorem. We meet geniuses like Archimedes, Liu Hui, and Bonaventura Cavalieri, who survived the slopes on intuition but prepared us for the avalanche-like dangers posed by mathematical rigor. Then we trek onward and scramble through limits and extreme values, optimization and integration, and learn how calculus can be applied to economics, physics, and so much more. We discover that calculus isn’t the pinnacle of mathematics after all, but its tools are foundational to everything that follows. Klein and Bauman round out the book with a handy glossary of symbols and terms, so you don’t have to worry about mixing up constants and constraints. With a witty and engaging narrative full of jokes and insights, The Cartoon Introduction to Calculus is an essential primer for students or for anyone who is curious about math.

Animation Maths

Author : Ivo De Pauw
Publisher : Lannoo Publishers
ISBN 13 : 9789401474955
Total Pages : 416 pages
Book Rating : 4.4/5 (749 download)

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Book Synopsis Animation Maths by : Ivo De Pauw

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.

Introduction to Real Analysis

Author : William C. Bauldry
Publisher : John Wiley & Sons
ISBN 13 : 1118164431
Total Pages : 280 pages
Book Rating : 4.1/5 (181 download)

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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.

Physics for JavaScript Games, Animation, and Simulations

Author : Adrian Dobre
Publisher : Apress
ISBN 13 : 1430263385
Total Pages : 490 pages
Book Rating : 4.4/5 (32 download)

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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.

Physics for Flash Games, Animation, and Simulations

Author : Adrian Dobre
Publisher : Apress
ISBN 13 : 1430236752
Total Pages : 547 pages
Book Rating : 4.4/5 (32 download)

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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.

The Cartoon Guide to Calculus

Author : Larry Gonick
Publisher : HarperCollins
ISBN 13 : 0062191594
Total Pages : 256 pages
Book Rating : 4.0/5 (621 download)

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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.

Calculus for Computer Graphics

Author : John Vince
Publisher : Springer
ISBN 13 : 3030113760
Total Pages : 303 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Calculus for Computer Graphics by : John Vince

Download or read book Calculus for Computer Graphics written by John Vince and published by Springer. This book was released on 2019-03-12 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: Students studying different branches of computer graphics have to be familiar with geometry, matrices, vectors, rotation transforms, quaternions, curves and surfaces and as computer graphics software becomes increasingly sophisticated, calculus is also being used to resolve its associated problems. In this 2nd edition, the author extends the scope of the original book to include applications of calculus in the areas of arc-length parameterisation of curves, geometric continuity, tangent and normal vectors, and curvature. The author draws upon his experience in teaching mathematics to undergraduates to make calculus appear no more challenging than any other branch of mathematics. He introduces the subject by examining how functions depend upon their independent variables, and then derives the appropriate mathematical underpinning and definitions. This gives rise to a function’s derivative and its antiderivative, or integral. Using the idea of limits, the reader is introduced to derivatives and integrals of many common functions. Other chapters address higher-order derivatives, partial derivatives, Jacobians, vector-based functions, single, double and triple integrals, with numerous worked examples, and over a hundred and seventy colour illustrations. This book complements the author’s other books on mathematics for computer graphics, and assumes that the reader is familiar with everyday algebra, trigonometry, vectors and determinants. After studying this book, the reader should understand calculus and its application within the world of computer graphics, games and animation.

AI for Games and Animation

Author : John David Funge
Publisher : CRC Press
ISBN 13 : 1439864012
Total Pages : 288 pages
Book Rating : 4.4/5 (398 download)

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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