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drawing with math equations: Math with Bad Drawings Ben Orlin, 2018-09-18 A hilarious reeducation in mathematics-full of joy, jokes, and stick figures-that sheds light on the countless practical and wonderful ways that math structures and shapes our world. In Math With Bad Drawings, Ben Orlin reveals to us what math actually is; its myriad uses, its strange symbols, and the wild leaps of logic and faith that define the usually impenetrable work of the mathematician. Truth and knowledge come in multiple forms: colorful drawings, encouraging jokes, and the stories and insights of an empathetic teacher who believes that math should belong to everyone. Orlin shows us how to think like a mathematician by teaching us a brand-new game of tic-tac-toe, how to understand an economic crises by rolling a pair of dice, and the mathematical headache that ensues when attempting to build a spherical Death Star. Every discussion in the book is illustrated with Orlin's trademark bad drawings, which convey his message and insights with perfect pitch and clarity. With 24 chapters covering topics from the electoral college to human genetics to the reasons not to trust statistics, Math with Bad Drawings is a life-changing book for the math-estranged and math-enamored alike. |
drawing with math equations: Functions and Graphs I. M. Gelfand, E. G. Glagoleva, E. E. Shnol, 2013-04-09 This text demonstrates the fundamentals of graph theory. The first part employs simple functions to analyze basics; second half deals with linear functions, quadratic trinomials, linear fractional functions, power functions, rational functions. 1969 edition. |
drawing with math equations: Multiply Numbers by Drawing Lines Presh Talwalkar, 2014-09-01 In May 2014, Presh Talwalkar made a YouTube video about how to multiply numbers by drawing lines. By the end of the month, the video received over a million views.Multiplying by lines is an innovative visual method to multiply numbers. It works like magic and gets people excited about math.This book illustrates how you can multiply by lines, enumerates the precise steps in the process, and offers examples of how to use the method. There are also novel applications of how one diagram can solve additional problems and how multiplying by lines can be used for algebraic expressions. The book includes 35 exercises with solutions. |
drawing with math equations: Math Art and Drawing Games for Kids Karyn Tripp, 2019-11-19 In Math Art and Drawing Games for Kids, you’ll find an amazing collection of more than 40 hands-on art activities that make learning about math fun! Make Art + Learn Math Concepts = Become a Math Genius! Create fine art-inspired projects using math, including M. C. Escher’s tessellations, Wassily Kandinski’s abstractions, and Alexander Calder’s mobiles. Make pixel art using graph paper, grids, and dot grids. Explore projects that teach symmetry with mandala drawings, stained glass rose window art, and more. Use equations, counting, addition, and multiplication to create Fibonacci and golden rectangle art. Play with geometric shapes like spirals, hexagrams, and tetrahedrons. Learn about patterns and motifs used by cultures from all over the world, including Native American porcupine quill art, African Kente prints, and labyrinths from ancient Crete. Cook up some delicious math by making cookie tangrams, waffle fractions, and bread art. Take a creative path to mastering math with Math Art and Drawing Games for Kids! |
drawing with math equations: Viewpoints Marc Frantz, Annalisa Crannell, 2011-07-05 An undergraduate textbook devoted exclusively to relationships between mathematics and art, Viewpoints is ideally suited for math-for-liberal-arts courses and mathematics courses for fine arts majors. The textbook contains a wide variety of classroom-tested activities and problems, a series of essays by contemporary artists written especially for the book, and a plethora of pedagogical and learning opportunities for instructors and students. Viewpoints focuses on two mathematical areas: perspective related to drawing man-made forms and fractal geometry related to drawing natural forms. Investigating facets of the three-dimensional world in order to understand mathematical concepts behind the art, the textbook explores art topics including comic, anamorphic, and classical art, as well as photography, while presenting such mathematical ideas as proportion, ratio, self-similarity, exponents, and logarithms. Straightforward problems and rewarding solutions empower students to make accurate, sophisticated drawings. Personal essays and short biographies by contemporary artists are interspersed between chapters and are accompanied by images of their work. These fine artists--who include mathematicians and scientists--examine how mathematics influences their art. Accessible to students of all levels, Viewpoints encourages experimentation and collaboration, and captures the essence of artistic and mathematical creation and discovery. Classroom-tested activities and problem solving Accessible problems that move beyond regular art school curriculum Multiple solutions of varying difficulty and applicability Appropriate for students of all mathematics and art levels Original and exclusive essays by contemporary artists Forthcoming: Instructor's manual (available only to teachers) |
drawing with math equations: The Laws Guide to Nature Drawing and Journaling Emilie Lygren, 2016 In straightforward text complemented by step-by-step illustrations, dozens of exercises lead the hand and mind through creating accurate reproductions of plants and animals as well as landscapes, skies, and more. Laws provides clear, practical advice for every step of the process for artists at every level, from the basics of choosing supplies to advanced techniques. |
drawing with math equations: Solve and Draw Math Merideth Anderson, 2009 These 18 standards-based activities with mystery-picture drawings really motivate students to practice key math skills. After students complete each skill sheet, they use their answers to follow step-by-step directions that guide them to draw a hidden picture. Since only correct answers will create the right picture, these activities are self-checking and make great independent work or homework. Topics include addition, subtraction, multiplication, division, fractions and decimals, geometry, measurement, and more. For use with Grades 3-5. |
drawing with math equations: Creating Symmetry Frank A. Farris, 2015-06-02 A step-by-step illustrated introduction to the astounding mathematics of symmetry This lavishly illustrated book provides a hands-on, step-by-step introduction to the intriguing mathematics of symmetry. Instead of breaking up patterns into blocks—a sort of potato-stamp method—Frank Farris offers a completely new waveform approach that enables you to create an endless variety of rosettes, friezes, and wallpaper patterns: dazzling art images where the beauty of nature meets the precision of mathematics. Featuring more than 100 stunning color illustrations and requiring only a modest background in math, Creating Symmetry begins by addressing the enigma of a simple curve, whose curious symmetry seems unexplained by its formula. Farris describes how complex numbers unlock the mystery, and how they lead to the next steps on an engaging path to constructing waveforms. He explains how to devise waveforms for each of the 17 possible wallpaper types, and then guides you through a host of other fascinating topics in symmetry, such as color-reversing patterns, three-color patterns, polyhedral symmetry, and hyperbolic symmetry. Along the way, Farris demonstrates how to marry waveforms with photographic images to construct beautiful symmetry patterns as he gradually familiarizes you with more advanced mathematics, including group theory, functional analysis, and partial differential equations. As you progress through the book, you'll learn how to create breathtaking art images of your own. Fun, accessible, and challenging, Creating Symmetry features numerous examples and exercises throughout, as well as engaging discussions of the history behind the mathematics presented in the book. |
drawing with math equations: Math Art Stephen Ornes, 2019 The worlds of visual art and mathematics beautifully unite in this spectacular volume by award-winning writer Stephen Ornes. He explores the growing sensation of math art, presenting such pieces as a colorful crocheted representation of non-Euclidian geometry that looks like sea coral and a 65-ton, 28-foot-tall bronze sculpture covered in a space-filling curve. We learn the artist's story for every work, plus the mathematical concepts and equations behind the art. |
drawing with math equations: Radical Equations Robert Moses, Charles E. Cobb, 2002-06-10 The remarkable story of the Algebra Project, a community-based effort to develop math-science literacy in disadvantaged schools—as told by the program’s founder “Bob Moses was a hero of mine. His quiet confidence helped shape the civil rights movement, and he inspired generations of young people looking to make a difference”—Barack Obama At a time when popular solutions to the educational plight of poor children of color are imposed from the outside—national standards, high-stakes tests, charismatic individual saviors—the acclaimed Algebra Project and its founder, Robert Moses, offer a vision of school reform based in the power of communities. Begun in 1982, the Algebra Project is transforming math education in twenty-five cities. Founded on the belief that math-science literacy is a prerequisite for full citizenship in society, the Project works with entire communities—parents, teachers, and especially students—to create a culture of literacy around algebra, a crucial stepping-stone to college math and opportunity. Telling the story of this remarkable program, Robert Moses draws on lessons from the 1960s Southern voter registration he famously helped organize: “Everyone said sharecroppers didn't want to vote. It wasn't until we got them demanding to vote that we got attention. Today, when kids are falling wholesale through the cracks, people say they don't want to learn. We have to get the kids themselves to demand what everyone says they don't want.” We see the Algebra Project organizing community by community. Older kids serve as coaches for younger students and build a self-sustained tradition of leadership. Teachers use innovative techniques. And we see the remarkable success stories of schools like the predominately poor Hart School in Bessemer, Alabama, which outscored the city's middle-class flagship school in just three years. Radical Equations provides a model for anyone looking for a community-based solution to the problems of our disadvantaged schools. |
drawing with math equations: Counterexamples in Calculus Sergiy Klymchuk, 2010-12-31 Counterexamples in Calculus serves as a supplementary resource to enhance the learning experience in single variable calculus courses. This book features carefully constructed incorrect mathematical statements that require students to create counterexamples to disprove them. Methods of producing these incorrect statements vary. At times the converse of a well-known theorem is presented. In other instances crucial conditions are omitted or altered or incorrect definitions are employed. Incorrect statements are grouped topically with sections devoted to: Functions, Limits, Continuity, Differential Calculus and Integral Calculus. This book aims to fill a gap in the literature and provide a resource for using counterexamples as a pedagogical tool in the study of introductory calculus. |
drawing with math equations: Skills in Mathematics - Play with Graphs for JEE Main and Advanced Amit M Agarwal, |
drawing with math equations: Aesthetic Computing Paul A. Fishwick, 2006 The application of the theory and practice of art to computer science: how aesthetics and art can play a role in computing disciplines. |
drawing with math equations: Euclidean Geometry in Mathematical Olympiads Evan Chen, 2021-08-23 This is a challenging problem-solving book in Euclidean geometry, assuming nothing of the reader other than a good deal of courage. Topics covered included cyclic quadrilaterals, power of a point, homothety, triangle centers; along the way the reader will meet such classical gems as the nine-point circle, the Simson line, the symmedian and the mixtilinear incircle, as well as the theorems of Euler, Ceva, Menelaus, and Pascal. Another part is dedicated to the use of complex numbers and barycentric coordinates, granting the reader both a traditional and computational viewpoint of the material. The final part consists of some more advanced topics, such as inversion in the plane, the cross ratio and projective transformations, and the theory of the complete quadrilateral. The exposition is friendly and relaxed, and accompanied by over 300 beautifully drawn figures. The emphasis of this book is placed squarely on the problems. Each chapter contains carefully chosen worked examples, which explain not only the solutions to the problems but also describe in close detail how one would invent the solution to begin with. The text contains a selection of 300 practice problems of varying difficulty from contests around the world, with extensive hints and selected solutions. This book is especially suitable for students preparing for national or international mathematical olympiads or for teachers looking for a text for an honor class. |
drawing with math equations: Processing Casey Reas, Ben Fry, 2007 An introduction to the ideas of computer programming within the context of the visual arts that also serves as a reference and text for Processing, an open-source programming language designed for creating images, animation, and interactivity. |
drawing with math equations: A Topological Picturebook George K. Francis, 2013-03-19 Praise for George Francis's A Topological Picturebook: Bravo to Springer for reissuing this unique and beautiful book! It not only reminds the older generation of the pleasures of doing mathematics by hand, but also shows the new generation what ``hands on'' really means. - John Stillwell, University of San Francisco The Topological Picturebook has taught a whole generation of mathematicians to draw, to see, and to think. - Tony Robbin, artist and author of Shadows of Reality: The Fourth Dimension in Relativity, Cubism, and Modern Thought The classic reference for how to present topological information visually, full of amazing hand-drawn pictures of complicated surfaces. - John Sullivan, Technische Universitat Berlin A Topological Picturebook lets students see topology as the original discoverers conceived it: concrete and visual, free of the formalism that burdens conventional textbooks. - Jeffrey Weeks, author of The Shape of Space A Topological Picturebook is a visual feast for anyone concerned with mathematical images. Francis provides exquisite examples to build one's visualization muscles. At the same time, he explains the underlying principles and design techniques for readers to create their own lucid drawings. - George W. Hart, Stony Brook University In this collection of narrative gems and intriguing hand-drawn pictures, George Francis demonstrates the chicken-and-egg relationship, in mathematics, of image and text. Since the book was first published, the case for pictures in mathematics has been won, and now it is time to reflect on their meaning. A Topological Picturebook remains indispensable. - Marjorie Senechal, Smith College and co-editor of the Mathematical Intelligencer |
drawing with math equations: Math Games with Bad Drawings Ben Orlin, 2022-04-05 Bestselling author and worst-drawing artist Ben Orlin expands his oeuvre with this interactive collection of mathematical games. With 70-plus games, each taking a minute to learn and a lifetime to master, this treasure trove will delight, educate, and entertain. From beloved math popularizer Ben Orlin comes a masterfully compiled collection of dozens of playable mathematical games.This ultimate game chest draws on mathematical curios, childhood classics, and soon-to-be classics, each hand-chosen to be (1) fun, (2) thought-provoking, and (3) easy to play. With just paper, pens, and the occasional handful of coins, you and a partner can enjoy hours of fun—and hours of challenge. Orlin’s sly humor, expansive knowledge, and so-bad-they’re-good drawings show us how simple rules summon our best thinking. Games include: Ultimate Tic-Tac-Toe Sprouts Battleship Quantum Go Fish Dots and Boxes Black Hole Order and Chaos Sequencium Paper Boxing Prophecies Arpeggios Banker Francoprussian Labyrinth Cats and Dogs And many more. |
drawing with math equations: The Art of Tinkering Karen Wilkinson, Mike Petrich, Exploratorium, 2014-02-04 Some of the most creative artists from today’s maker scene discuss their process, workspaces and more in this inspiring guide to tinkering. The Art of Tinkering is an unprecedented celebration of what it means to tinker: to take things apart, explore tools and materials, and build wondrous, wild art that’s part science, part technology, and entirely creative. Join 150+ makers as they share the stories behind their beautiful and bold work—then do some tinkering yourself! This collection of exhibits, artwork, and projects explores a whole new way to learn, in which people expand their knowledge through making and doing, working with readily available materials, getting their hands dirty, collaborating with others, and problem-solving in the most fun sense of the word. Each artist featured in The Art of Tinkering shares their process and the backstory behind their work. Whether it’s dicussing their favorite tools (who knew toenail clippers could be so handy?) or offering a glimpse of their workspaces (you’d be amazed how many electronics tools you can pack into a pantry!), the stories, lessons, and tips in The Art of Tinkering offer a fascinating portrait of today’s maker scene. Artists include: Scott Weaver, Arthur Ganson, Moxie, Tim Hunkin, AnnMarie Thomas, Ranjit Bhatnajar and Jie Qi. |
drawing with math equations: Euler's Pioneering Equation Robin Wilson, 2018-02-22 In 1988 The Mathematical Intelligencer, a quarterly mathematics journal, carried out a poll to find the most beautiful theorem in mathematics. Twenty-four theorems were listed and readers were invited to award each a 'score for beauty'. While there were many worthy competitors, the winner was 'Euler's equation'. In 2004 Physics World carried out a similar poll of 'greatest equations', and found that among physicists Euler's mathematical result came second only to Maxwell's equations. The Stanford mathematician Keith Devlin reflected the feelings of many in describing it as like a Shakespearian sonnet that captures the very essence of love, or a painting which brings out the beauty of the human form that is far more than just skin deep, Euler's equation reaches down into the very depths of existence. What is it that makes Euler's identity, eiπ + 1 = 0, so special? In Euler's Pioneering Equation Robin Wilson shows how this simple, elegant, and profound formula links together perhaps the five most important numbers in mathematics, each associated with a story in themselves: the number 1, the basis of our counting system; the concept of zero, which was a major development in mathematics, and opened up the idea of negative numbers; π an irrational number, the basis for the measurement of circles; the exponential e, associated with exponential growth and logarithms; and the imaginary number i, the square root of -1, the basis of complex numbers. Following a chapter on each of the elements, Robin Wilson discusses how the startling relationship between them was established, including the several near misses to the discovery of the formula. |
drawing with math equations: Patterns of the Universe Alex Bellos, Edmund Harriss, 2015-12-01 A coloring book that reveals math's hidden beauty and contemplative power as never before with 78 coloring designs and games that explore symmetry, fractals, tessellations, randomness, and more.-- |
drawing with math equations: Fourier Analysis Elias M. Stein, Rami Shakarchi, 2011-02-11 This first volume, a three-part introduction to the subject, is intended for students with a beginning knowledge of mathematical analysis who are motivated to discover the ideas that shape Fourier analysis. It begins with the simple conviction that Fourier arrived at in the early nineteenth century when studying problems in the physical sciences--that an arbitrary function can be written as an infinite sum of the most basic trigonometric functions. The first part implements this idea in terms of notions of convergence and summability of Fourier series, while highlighting applications such as the isoperimetric inequality and equidistribution. The second part deals with the Fourier transform and its applications to classical partial differential equations and the Radon transform; a clear introduction to the subject serves to avoid technical difficulties. The book closes with Fourier theory for finite abelian groups, which is applied to prime numbers in arithmetic progression. In organizing their exposition, the authors have carefully balanced an emphasis on key conceptual insights against the need to provide the technical underpinnings of rigorous analysis. Students of mathematics, physics, engineering and other sciences will find the theory and applications covered in this volume to be of real interest. The Princeton Lectures in Analysis represents a sustained effort to introduce the core areas of mathematical analysis while also illustrating the organic unity between them. Numerous examples and applications throughout its four planned volumes, of which Fourier Analysis is the first, highlight the far-reaching consequences of certain ideas in analysis to other fields of mathematics and a variety of sciences. Stein and Shakarchi move from an introduction addressing Fourier series and integrals to in-depth considerations of complex analysis; measure and integration theory, and Hilbert spaces; and, finally, further topics such as functional analysis, distributions and elements of probability theory. |
drawing with math equations: Love and Math Edward Frenkel, 2013-10-01 An awesome, globe-spanning, and New York Times bestselling journey through the beauty and power of mathematics What if you had to take an art class in which you were only taught how to paint a fence? What if you were never shown the paintings of van Gogh and Picasso, weren't even told they existed? Alas, this is how math is taught, and so for most of us it becomes the intellectual equivalent of watching paint dry. In Love and Math, renowned mathematician Edward Frenkel reveals a side of math we've never seen, suffused with all the beauty and elegance of a work of art. In this heartfelt and passionate book, Frenkel shows that mathematics, far from occupying a specialist niche, goes to the heart of all matter, uniting us across cultures, time, and space. Love and Math tells two intertwined stories: of the wonders of mathematics and of one young man's journey learning and living it. Having braved a discriminatory educational system to become one of the twenty-first century's leading mathematicians, Frenkel now works on one of the biggest ideas to come out of math in the last 50 years: the Langlands Program. Considered by many to be a Grand Unified Theory of mathematics, the Langlands Program enables researchers to translate findings from one field to another so that they can solve problems, such as Fermat's last theorem, that had seemed intractable before. At its core, Love and Math is a story about accessing a new way of thinking, which can enrich our lives and empower us to better understand the world and our place in it. It is an invitation to discover the magic hidden universe of mathematics. |
drawing with math equations: Change Is the Only Constant Ben Orlin, 2019-10-08 From popular math blogger and author of the underground bestseller Math With Bad Drawings, Change Is The Only Constant is an engaging and eloquent exploration of the intersection between calculus and daily life, complete with Orlin's sly humor and wonderfully bad drawings. Change is the Only Constant is an engaging and eloquent exploration of the intersection between calculus and daily life, complete with Orlin's sly humor and memorably bad drawings. By spinning 28 engaging mathematical tales, Orlin shows us that calculus is simply another language to express the very things we humans grapple with every day -- love, risk, time, and most importantly, change. Divided into two parts, Moments and Eternities, and drawing on everyone from Sherlock Holmes to Mark Twain to David Foster Wallace, Change is the Only Constant unearths connections between calculus, art, literature, and a beloved dog named Elvis. This is not just math for math's sake; it's math for the sake of becoming a wiser and more thoughtful human. |
drawing with math equations: The Complete Idiot's Guide to Algebra W. Michael Kelley, 2004 The complete hands-on, how-to guide to engineering an outstanding customer experience! Beyond Disney and Harley-Davidson - Practical, start-to-finish techniques to be used right now, whatever is sold. Leverages the latest neuroscience to help readers assess, audit, design, implement and steward any customer experience. By Lou Carbone, CEO of Experience Engineering, Inc., the world's #1 customer experience consultancy. |
drawing with math equations: Developing Mathematical Proficiency for Elementary Instruction Yeping Li, Roger E. Howe, W. James Lewis, James J. Madden, 2021-04-23 The need to improve the mathematical proficiency of elementary teachers is well recognized, and it has long been of interest to educators and researchers in the U.S. and many other countries. But the specific proficiencies that elementary teachers need and the process of developing and improving them remain only partially conceptualized and not well validated empirically. To improve this situation, national workshops were organized at Texas A&M University to generate focused discussions about this important topic, with participation of mathematicians, mathematics educators and teachers. Developing Mathematical Proficiency for Elementary Instruction is a collection of articles that grew out of those exciting cross-disciplinary exchanges. Developing Mathematical Proficiency for Elementary Instruction is organized to probe the specifics of mathematical proficiency that are important to elementary teachers during two separate but inter-connected professional stages: as pre-service teachers in a preparation program, and as in-service teachers teaching mathematics in elementary classrooms. From this rich and inspiring collection, readers may better understand, and possibly rethink, their own practices and research in empowering elementary teachers mathematically and pedagogically, as educators or researchers. |
drawing with math equations: The Grapes of Math Alex Bellos, 2014-06-10 From triangles, rotations and power laws, to cones, curves and the dreaded calculus, Alex takes you on a journey of mathematical discovery with his signature wit and limitless enthusiasm. He sifts through over 30,000 survey submissions to uncover the world’s favourite number, and meets a mathematician who looks for universes in his garage. He attends the World Mathematical Congress in India, and visits the engineer who designed the first roller-coaster loop. Get hooked on math as Alex delves deep into humankind’s turbulent relationship with numbers, and reveals how they have shaped the world we live in. |
drawing with math equations: Strategies for Common Core Mathematics Leslie Texas, Tammy Jones, 2013-12-04 This new, practical book provides an explanation of each of the eight mathematical practices and gives elementary school educators specific instructional strategies that align with the Common Core State Standards for Mathematics. Math teachers, curriculum coordinators, and district math supervisors get practical ideas on how to engage elementary school students in mathematical practices, develop problem-solving skills, and promote higher-order thinking. Learn how to scaffold activities across grades and get strategies you can implement immediately in your classroom. All K-5 mathematics educators should have this book in their professional libraries! |
drawing with math equations: Everyone Can Learn Math Alice Aspinall, 2018-10-16 How do you approach a math problem that challenges you? Do you keep trying until you reach a solution? Or are you like Amy, who gets frustrated easily and gives up? Amy is usually a happy and enthusiastic student in grade five who loves to dance, but she is struggling with a tough math assignment. She doesn’t think she is good at math because her classmates always get the answers faster than she does and sometimes she uses her fingers to help her count. Even though her mom tries to help her, Amy is convinced she just cannot do math. She decides not to do the assignment at all since she thinks she wouldn’t do well anyway. As Amy goes about her day, her experiences at ballet class, the playground, and gym class have her thinking back to how she gave up on her math assignment. She starts to notice that hard-work, practice, and dedication lead to success, thanks to her friends and teachers. She soon comes to understand that learning math is no different than learning any other skill in life. With some extra encouragement from her math teacher, a little help from her mom, and a new attitude, Amy realizes that she can do math! |
drawing with math equations: The Smile Book Db Burkeman, Rich Browd, 2021 Celebrate the smiley face's 60 year impact on art, music, pop and counter culture with The Sm;)e Book. In the history of graphic design, there is no other symbol that has ever held such a duality--used simultaneously as both a positive mainstream driver and a counterculture subverter of that very mainstream. The Sm;)e Book showcases an unprecedented collection of some the world's most potent visual communicators. With introductions from authors db Burkeman and Rich Browd, the book includes work from some of the most important visual communicators of our time such as: Alex Da Corte Alfie Steiner Alicia McCarthy Aurel Schmidt BANKSY Chapman Brothers Cody Hudson Curtis Kulig Destroy All Monsters Eric Elms Erik Foss Greg Bogin INVADER James Joyce Jeremy Deller KATSU Mark Flood Misaki Kawai Norman Cook Paul Insect + BÄST Richard Prince Rob Pruitt Ron English Sadie Benning Sayre Gomez SKULLPHONE Tyrrell Winston Wolfgang Tillmans Yung Jake 1UP Crew |
drawing with math equations: HTML5 Canvas Steve Fulton, Jeff Fulton, 2013-04-11 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 |
drawing with math equations: Burn Math Class Jason Wilkes, 2016-03-22 A manifesto for a mathematical revolution Forget everything you've been taught about math. In Burn Math Class, Jason Wilkes takes the traditional approach to how we learn math -- with its unwelcoming textbooks, unexplained rules, and authoritarian assertions-and sets it on fire. Focusing on how mathematics is created rather than on mathematical facts, Wilkes teaches the subject in a way that requires no memorization and no prior knowledge beyond addition and multiplication. From these simple foundations, Burn Math Class shows how mathematics can be (re)invented from scratch without preexisting textbooks and courses. We can discover math on our own through experimentation and failure, without appealing to any outside authority. When math is created free from arcane notations and pretentious jargon that hide the simplicity of mathematical concepts, it can be understood organically -- and it becomes fun! Following this unconventional approach, Burn Math Class leads the reader from the basics of elementary arithmetic to various advanced topics, such as time-dilation in special relativity, Taylor series, and calculus in infinite-dimensional spaces. Along the way, Wilkes argues that orthodox mathematics education has been teaching the subject backward: calculus belongs before many of its so-called prerequisites, and those prerequisites cannot be fully understood without calculus. Like the smartest, craziest teacher you've ever had, Wilkes guides you on an adventure in mathematical creation that will radically change the way you think about math. Revealing the beauty and simplicity of this timeless subject, Burn Math Class turns everything that seems difficult about mathematics upside down and sideways until you understand just how easy math can be. |
drawing with math equations: The Simpsons and Their Mathematical Secrets Simon Singh, 2013-01-01 From bestselling author of Fermat's Last Theorem, a must-have for number lovers and Simpsons fans |
drawing with math equations: Math and the Mona Lisa Bulent Atalay, 2011-09-20 Leonardo da Vinci was one of history's true geniuses, equally brilliant as an artist, scientist, and mathematician. Readers of The Da Vinci Code were given a glimpse of the mysterious connections between math, science, and Leonardo's art. Math and the Mona Lisa picks up where The Da Vinci Code left off, illuminating Leonardo's life and work to uncover connections that, until now, have been known only to scholars. Bülent Atalay, a distinguished scientist and artist, examines the science and mathematics that underlie Leonardo's work, paying special attention to the proportions, patterns, shapes, and symmetries that scientists and mathematicians have also identified in nature. Following Leonardo's own unique model, Atalay searches for the internal dynamics of art and science, revealing to us the deep unity of the two cultures. He provides a broad overview of the development of science from the dawn of civilization to today's quantum mechanics. From this base of information, Atalay offers a fascinating view into Leonardo's restless intellect and modus operandi, allowing us to see the source of his ideas and to appreciate his art from a new perspective. |
drawing with math equations: Why Science and Art Creativities Matter Pamela Burnard, Laura Colucci-Gray, 2020 This accessible and timely edited volume is at once provocative and original in shedding new light on the roles of science and arts creativities for 'future-making education'. An international set of expert authors grapple with innovative ways of thinking about the complex, textured and contested entanglements of knowledge and practice reconfigurings in STEAM education. |
drawing with math equations: Drawing in the Digital Age Wei Xu, Ph.D., 2012-02-13 A solid foundation for improving your drawing skills Teaching a new observational method based on math and computer graphics principles, this book offers an innovative approach that shows you how to use both sides of your brain to make drawing easier and more accurate. Author Wei Xu, PhD, walks you through his method, which consists of scientific theories and principles to deliver real-world techniques that will improve your drawing skills. Xu's pioneering approach offers a solid foundation for both traditional and CG artists. Encourages you to use both sides of your brain for drawing with the highest efficiency possible Introduces an innovative method invented by the author for improving your drawing skills If you are eager to learn how to draw, then this book is a must read. |
drawing with math equations: R Markdown Yihui Xie, J.J. Allaire, Garrett Grolemund, 2018-07-27 R Markdown: The Definitive Guide is the first official book authored by the core R Markdown developers that provides a comprehensive and accurate reference to the R Markdown ecosystem. With R Markdown, you can easily create reproducible data analysis reports, presentations, dashboards, interactive applications, books, dissertations, websites, and journal articles, while enjoying the simplicity of Markdown and the great power of R and other languages. In this book, you will learn Basics: Syntax of Markdown and R code chunks, how to generate figures and tables, and how to use other computing languages Built-in output formats of R Markdown: PDF/HTML/Word/RTF/Markdown documents and ioslides/Slidy/Beamer/PowerPoint presentations Extensions and applications: Dashboards, Tufte handouts, xaringan/reveal.js presentations, websites, books, journal articles, and interactive tutorials Advanced topics: Parameterized reports, HTML widgets, document templates, custom output formats, and Shiny documents. Yihui Xie is a software engineer at RStudio. He has authored and co-authored several R packages, including knitr, rmarkdown, bookdown, blogdown, shiny, xaringan, and animation. He has published three other books, Dynamic Documents with R and knitr, bookdown: Authoring Books and Technical Documents with R Markdown, and blogdown: Creating Websites with R Markdown. J.J. Allaire is the founder of RStudio and the creator of the RStudio IDE. He is an author of several packages in the R Markdown ecosystem including rmarkdown, flexdashboard, learnr, and radix. Garrett Grolemund is the co-author of R for Data Science and author of Hands-On Programming with R. He wrote the lubridate R package and works for RStudio as an advocate who trains engineers to do data science with R and the Tidyverse. |
drawing with math equations: Beautiful Geometry Eli Maor, Eugen Jost, 2017-04-11 An exquisite visual celebration of the 2,500-year history of geometry If you've ever thought that mathematics and art don't mix, this stunning visual history of geometry will change your mind. As much a work of art as a book about mathematics, Beautiful Geometry presents more than sixty exquisite color plates illustrating a wide range of geometric patterns and theorems, accompanied by brief accounts of the fascinating history and people behind each. With artwork by Swiss artist Eugen Jost and text by math historian Eli Maor, this unique celebration of geometry covers numerous subjects, from straightedge-and-compass constructions to intriguing configurations involving infinity. The result is a delightful and informative illustrated tour through the 2,500-year-old history of one of the most important branches of mathematics. |
drawing with math equations: Learning and Teaching Early Math Douglas H. Clements, Julie Sarama, 2020-12-29 The third edition of this significant and groundbreaking book summarizes current research into how young children learn mathematics and how best to develop foundational knowledge to realize more effective teaching. Using straightforward, practical language, early math experts Douglas Clements and Julie Sarama show how learning trajectories help teachers understand children’s level of mathematical understanding and lead to better teaching. By focusing on the inherent delight and curiosity behind young children’s mathematical reasoning, learning trajectories ultimately make teaching more joyous: helping teachers understand the varying levels of knowledge exhibited by individual students, it allows them to better meet the learning needs of all children. This thoroughly revised and contemporary third edition of Learning and Teaching Early Math remains the definitive, research-based resource to help teachers understand the learning trajectories of early mathematics and become confident, credible professionals. The new edition draws on numerous new research studies, offers expanded international examples, and includes updated illustrations throughout. This new edition is closely linked with Learning and Teaching with Learning Trajectories–[LT]2–an open-access, web-based tool for early childhood educators to learn about how children think and learn about mathematics. Head to LearningTrajectories.org for ongoing updates, interactive games, and practical tools that support classroom learning. |
drawing with math equations: Adobe Creative Suite Mordy Golding, 2004 Today's world is all about convenience. Supercenters are popping up every day, selling everything from toothbrushes to clothing and from milk to tires for your car. Even software programs are sold in supercenter type packages, or suites. That is why Sams Publishing has printedSams Teach Yourself Adobe Creative Suite All in One, your one-stop-shop for learning the Adobe creative suite of programs. Learn to create professional graphics and designs with Adobe Photoshop, Illustrator, Acrobat, GoLive and InDesign through this all-inclusive reference guide. This book is sure to answer all of your current and future questions as you move towards software proficiency with each of these programs. Get up to speed quickly and easily withSams Teach Yourself Adobe Creative Suite All in One. |
drawing with math equations: Mathematical Illustrations Bill Casselman, 2005-01-24 This practical introduction to the techniques needed to produce mathematical illustrations of high quality is suitable for anyone with a modest acquaintance with coordinate geometry. The author combines a completely self-contained step-by-step introduction to the graphics programming language PostScript with advice on what goes into good mathematical illustrations, chapters showing how good graphics can be used to explain mathematics, and a treatment of all the mathematics needed to make such illustrations. The many small simple graphics projects can also be used in courses in geometry, graphics, or general mathematics. Code for many of the illustrations is included, and can be downloaded from the book's web site: www.math.ubc.ca/~cass/graphics/manualMathematicians; scientists, engineers, and even graphic designers seeking help in creating technical illustrations need look no further. |
Sketchpad - Draw, Create, Share!
Sketchpad: Free online drawing application for all ages. Create digital artwork to share online and export to popular image formats JPEG, PNG, SVG, and PDF.
Draw, Create, Share! - Sketchpad
Sketchpad: Free online drawing application for all ages. Create digital artwork to share online and export to popular image formats JPEG, PNG, SVG, and PDF.
Sketchpad 5.1 - Draw, Create, Share!
Sketchpad: Free online drawing application for all ages. Create digital artwork to share online and export to popular image formats JPEG, PNG, SVG, and PDF.
Sketch.IO - The Maker of Sketchpad
Sketchpad is available online and for download on PC and Mac. Whether you're working on a school poster or brainstorming your next comic book character, Sketchpad makes it easy to …
Sketch Mobile—Multi-touch drawing in HTML5.
Sketch Mobile is a drawing tool that takes advantage of the new capabilities presented in modern mobile browsers; including multi-touch, the accelerometer, and the gyroscope; providing a fun …
Sketchpad App – Sketch.IO
18 Brushes. Create cool strokes with the Tile, Mirror, Crayon, and Calligraphy brushes. Decorate your artwork using hundreds of high quality stamps.
Sketchpad - ¡Dibuja, Crea, Comparte!
Sketchpad: aplicación de dibujo online gratuita para todas las edades. Crea ilustraciones digitales para compartir en línea y expórtalas a los formatos de imágenes más populares JPEG, PNG, …
Sketchpad – rysuj, twórz, udostępniaj!
Sketchpad: darmowa aplikacja do rysowania online dla wszystkich grup wiekowych. Twórz cyfrowe dzieła sztuki, które możesz udostępniać online i eksportować do popularnych …
Sketchpad - Desenhe, Crie, Compartilhe!
Sketchpad: aplicativo de desenho gratuito on-line para todas as idades. Crie obras de arte digitais para compartilhar on-line e exporte-as para os formatos populares de imagens JPEG, PNG, …
Rita, skapa, dela! - Sketchpad
Sketchpad: en kostnadsfri och internetbaserad applikation för tecknare i alla åldrar. Skapa digitala konstverk att dela på internet och exportera till bildformat: JPEG, PNG, SVG, and PDF.
Sketchpad - Draw, Create, Share!
Sketchpad: Free online drawing application for all ages. Create digital artwork to share online and export to popular image formats JPEG, PNG, SVG, and PDF.
Draw, Create, Share! - Sketchpad
Sketchpad: Free online drawing application for all ages. Create digital artwork to share online and export to popular image formats JPEG, PNG, SVG, and PDF.
Sketchpad 5.1 - Draw, Create, Share!
Sketchpad: Free online drawing application for all ages. Create digital artwork to share online and export to popular image formats JPEG, PNG, SVG, and PDF.
Sketch.IO - The Maker of Sketchpad
Sketchpad is available online and for download on PC and Mac. Whether you're working on a school poster or brainstorming your next comic book character, Sketchpad makes it easy to …
Sketch Mobile—Multi-touch drawing in HTML5.
Sketch Mobile is a drawing tool that takes advantage of the new capabilities presented in modern mobile browsers; including multi-touch, the accelerometer, and the gyroscope; providing a fun …
Sketchpad App – Sketch.IO
18 Brushes. Create cool strokes with the Tile, Mirror, Crayon, and Calligraphy brushes. Decorate your artwork using hundreds of high quality stamps.
Sketchpad - ¡Dibuja, Crea, Comparte!
Sketchpad: aplicación de dibujo online gratuita para todas las edades. Crea ilustraciones digitales para compartir en línea y expórtalas a los formatos de imágenes más populares JPEG, PNG, …
Sketchpad – rysuj, twórz, udostępniaj!
Sketchpad: darmowa aplikacja do rysowania online dla wszystkich grup wiekowych. Twórz cyfrowe dzieła sztuki, które możesz udostępniać online i eksportować do popularnych …
Sketchpad - Desenhe, Crie, Compartilhe!
Sketchpad: aplicativo de desenho gratuito on-line para todas as idades. Crie obras de arte digitais para compartilhar on-line e exporte-as para os formatos populares de imagens JPEG, PNG, …
Rita, skapa, dela! - Sketchpad
Sketchpad: en kostnadsfri och internetbaserad applikation för tecknare i alla åldrar. Skapa digitala konstverk att dela på internet och exportera till bildformat: JPEG, PNG, SVG, and PDF.