Polya, How to Solve It will show anyone in any field how to think straight. In lucid and appealing prose, Polya reveals how the mathematical method of demonstrating a proof or finding an unknown can be of help in attacking any problem that can be reasoned out--from building a bridge to winning a game of anagrams. Generations of readers have relished Polya's deft--indeed, brilliant--instructions on stripping away irrelevancies and going straight to the heart of the problem.

    Patton has created the most comprehensive, systematic and up-to-date review of qualitative methods available.Patton has retained and expanded upon the Exhibits that highlight and summarize major issues and guidelines, the summative sections, tables, and figures as well as the sage advice of the Sufi Master, Halcolm. This revision will help readers integrate and make sense of the great volume of qualitative works published in the past decade.

    

    Readers will progress from building a basic physics engine to creating intelligent moving objects and complex systems, setting the foundation for further experiments in generative design. Subjects covered include forces, trigonometry, fractals, cellular automata, self-organization, and genetic algorithms. The book's examples are written in Processing, an open-source language and development environment built on top of the Java programming language. On the book's website (http://www.natureofcode.com), the examples run in the browser via Processing's JavaScript mode.

    Yet our brains devote tremendous computational power to figuring out the simplest details about spatial relationships. Going to the grocery store or finding our cell phone requires sleuthing and coordination across different sensory and motor domains. Making Space traces this mental detective work to explain how the brain creates our sense of location. But it goes further, to make the case that spatial processing permeates all our cognitive abilities, and that the brain's systems for thinking about space may be the systems of thought itself.Our senses measure energy in the form of light, sound, and pressure on the skin, and our brains evaluate these measurements to make inferences about objects and boundaries. Jennifer Groh describes how eyes detect electromagnetic radiation, how the brain can locate sounds by measuring differences of less than one one-thousandth of a second in how long they take to reach each ear, and how the ear's balance organs help us monitor body posture and movement. The brain synthesizes all this neural information so that we can navigate three-dimensional space.But the brain's work doesn't end there. Spatial representations do double duty in aiding memory and reasoning. This is why it is harder to remember how to get somewhere if someone else is driving, and why, if we set out to do something and forget what it was, returning to the place we started can jog our memory. In making space the brain uses powers we did not know we have.

    Brian Arthur puts forth the first complete theory of the origins and evolution of technology, in a major work that achieves for the invention of new technologies what Darwin’s theory achieved for the emergence of new species. Brian Arthur is a pioneer of complexity theory and the discoverer of the highly influential "theory of increasing returns," which took Silicon Valley by storm, famously explaining why some high-tech companies achieve breakaway success. Now, in this long-awaited and ground-breaking book, he solves the great outstanding puzzle of technology—where do transformative new technologies come from?—putting forth the first full theory of how new technologies emerge and offering a definitive answer to the mystery of why some cultures—Silicon Valley, Cambridge, England in the 1920s—are so extraordinarily inventive. He has discovered that rather than springing from insight moments of individual genius, new technologies arise in a process akin to evolution. Technology evolves by creating itself out of itself, much as a coral reef builds itself from activities of small organisms. Drawing on a wealth of examples, from the most ancient to cutting-edge inventions of today, Arthur takes readers on a delightful intellectual journey, bringing to life the wonders of this process of technological evolution. The Nature of Technology is the work of one of our greatest thinkers at the top of his game, composing a classic for our times that is sure to generate wide acclaim.

    Shows how any proof can be understood as a sequence of techniques. Covers the full range of techniques used in proofs, such as the contrapositive, induction, and proof by contradiction. Explains how to identify which techniques are used and how they are applied in the specific problem. Illustrates how to read written proofs with many step-by-step examples. Includes new, expanded appendices related to discrete mathematics, linear algebra, modern algebra and real analysis.

    In this e-book you will learn what exactly is needed to run a successful Design Thinking Workshop which is fun and at the same time generates great results. In this e-book Pauline Tonhauser, founder of designthinkingcoach.de, shares her best practices.

    Hofstadter's collection of quirky essays is unified by its primary concern: to examine the way people perceive and think.

    An impassioned critique of K 12 mathematics education, it outlined how we shortchange students by introducing them to math the wrong way. Here Lockhart offers the positive side of the math education story by showing us how math should be done. "Measurement "offers a permanent solution to math phobia by introducing us to mathematics as an artful way of thinking and living.In conversational prose that conveys his passion for the subject, Lockhart makes mathematics accessible without oversimplifying. He makes no more attempt to hide the challenge of mathematics than he does to shield us from its beautiful intensity. Favoring plain English and pictures over jargon and formulas, he succeeds in making complex ideas about the mathematics of shape and motion intuitive and graspable. His elegant discussion of mathematical reasoning and themes in classical geometry offers proof of his conviction that mathematics illuminates art as much as science.Lockhart leads us into a universe where beautiful designs and patterns float through our minds and do surprising, miraculous things. As we turn our thoughts to symmetry, circles, cylinders, and cones, we begin to see that almost anyone can do the math in a way that brings emotional and aesthetic rewards. "Measurement" is an invitation to summon curiosity, courage, and creativity in order to experience firsthand the playful excitement of mathematical work."

    But the dot, though perfect in every way, only had eyes for a wild and unkempt squiggle. All of the line's romantic dreams were in vain, until he discovered...angles! Now, with newfound self-expression, he can be anything he wants to be--a square, a triangle, a parallelogram....And that's just the beginning!First published in 1963 and made into an Academy Award-winning animated short film, here is a supremely witty love story with a twist that reveals profound truths about relationships--both human and mathematical--sure to tickle lovers of all ages.

    Why do living things and physical phenomena take the forms they do? Analyzing the mathematical and physical aspects of biological processes, this historic work, first published in 1917, has become renowned as well for the poetry of is descriptions.

    But creating an environment for creative thinking and innovation can be a daunting challenge. How can you make it happen at your company? The answer may surprise you: gamestorming.This book includes more than 80 games to help you break down barriers, communicate better, and generate new ideas, insights, and strategies. The authors have identified tools and techniques from some of the world's most innovative professionals, whose teams collaborate and make great things happen. This book is the result: a unique collection of games that encourage engagement and creativity while bringing more structure and clarity to the workplace. Find out why -- and how -- with Gamestorming.Overcome conflict and increase engagement with team-oriented gamesImprove collaboration and communication in cross-disciplinary teams with visual-thinking techniquesImprove understanding by role-playing customer and user experiencesGenerate better ideas and more of them, faster than ever beforeShorten meetings and make them more productiveSimulate and explore complex systems, interactions, and dynamicsIdentify a problem's root cause, and find the paths that point toward a solution

    “Kelly” Johnson led the design of such crucial aircraft as the P-38 and Constellation, but he will be more remembered for the U-2 and SR-71 spy planes. His extraordinary leadership of the Lockheed “Skunk Works” cemented his reputation as a legendary figure in American aerospace management.

    It has been used to expose injustice, improve health outcomes, and topple governments. But it has also been used to discriminate, police, and surveil. This potential for good, on the one hand, and harm, on the other, makes it essential to ask: Data science by whom? Data science for whom? Data science with whose interests in mind? The narratives around big data and data science are overwhelmingly white, male, and techno-heroic. In Data Feminism, Catherine D'Ignazio and Lauren Klein present a new way of thinking about data science and data ethics—one that is informed by intersectional feminist thought.Illustrating data feminism in action, D'Ignazio and Klein show how challenges to the male/female binary can help challenge other hierarchical (and empirically wrong) classification systems. They explain how, for example, an understanding of emotion can expand our ideas about effective data visualization, and how the concept of invisible labor can expose the significant human efforts required by our automated systems. And they show why the data never, ever “speak for themselves.”Data Feminism offers strategies for data scientists seeking to learn how feminism can help them work toward justice, and for feminists who want to focus their efforts on the growing field of data science. But Data Feminism is about much more than gender. It is about power, about who has it and who doesn't, and about how those differentials of power can be challenged and changed.