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How Many Penguins?: Counting Animals 0-100 (Nature Numbers)
by Jill EsbaumIn Nature Numbers, math is beautiful, recognizable, and all around us! Highly engaging pictures of animals and nature scenes, along with cool chalk illustrations, are used to introduce basic math concepts and encourage kids to see a world of numbers all around them.K-2 math concepts include counting 1-100. This book encourages kids to count groups of 10 animals with amazing nature pictures and chalk illustrations!
How Many Pennies Make A Dollar?
by Rebecca Wingard-NelsonHow many pennies are in a dollar? How many nickels make a dime? In this great book of money combinations, young readers can learn how all of the different denominations of money relate to each other. Free worksheets along with full-color photos and easy-to-read text make this a great way to reinforce math concepts.
How Many Seeds in a Pumpkin?
by Margaret Mcnamara"How many seeds in a pumpkin?" Mr. Tiffin asks his class as they gather around the big, medium, and small pumpkins on his desk. Robert, the biggest kid, guesses that the largest one has a million seeds; Elinor, sounding like she knows what she's talking about, guesses the medium one has 500 seeds; and Anna, who likes even numbers better than odd ones, guesses that the little one has 22. Charlie, the smallest boy in the class, doesn't have a guess. Counting pumpkin seeds is messy business, but once the slimy job is done, to everyone's surprise, the smallest pumpkin has the most seeds! As Charlie happily exclaims, "Small things have a lot going on inside of them."
How Many Zeroes?: Counting Solutions of Systems of Polynomials via Toric Geometry at Infinity (CMS/CAIMS Books in Mathematics #2)
by Pinaki MondalThis graduate textbook presents an approach through toric geometry to the problem of estimating the isolated solutions (counted with appropriate multiplicity) of n polynomial equations in n variables over an algebraically closed field. The text collects and synthesizes a number of works on Bernstein’s theorem of counting solutions of generic systems, ultimately presenting the theorem, commentary, and extensions in a comprehensive and coherent manner. It begins with Bernstein’s original theorem expressing solutions of generic systems in terms of the mixed volume of their Newton polytopes, including complete proofs of its recent extension to affine space and some applications to open problems. The text also applies the developed techniques to derive and generalize Kushnirenko's results on Milnor numbers of hypersurface singularities, which has served as a precursor to the development of toric geometry. Ultimately, the book aims to present material in an elementary format, developing all necessary algebraic geometry to provide a truly accessible overview suitable to second-year graduate students.
How Math Explains the World: A Guide to the Power of Numbers, from Car Repair to Modern Physics
by James D. Stein&“Explores the application of math to problem solving in the everyday. . . . [W]ill appeal to both casual and serious fans of math or physics.&” —Publishers Weekly In How Math Explains the World, mathematician Stein reveals how seemingly arcane mathematical investigations and discoveries have led to bigger, more world-shaking insights into the nature of our world. In the four main sections of the book, Stein tells the stories of the mathematical thinkers who discerned some of the most fundamental aspects of our universe. From their successes and failures, delusions, and even duels, the trajectories of their innovations—and their impact on society—are traced in this fascinating narrative. Quantum mechanics, space-time, chaos theory and the workings of complex systems, and the impossibility of a &“perfect&” democracy are all here. Stein's book is both mind-bending and practical, as he explains the best way for a salesman to plan a trip, examines why any thought you could have is imbedded in the number p, and—perhaps most importantly—answers one of the modern world's toughest questions: why the garage can never get your car repaired on time. Friendly, entertaining, and fun, How Math Explains the World is the first book by one of California's most popular math teachers, a veteran of both &“math for poets&” and Princeton's Institute for Advanced Studies. And it's perfect for any reader wanting to know how math makes both science and the world tick.
How Mathematicians Think: Using Ambiguity, Contradiction, and Paradox to Create Mathematics
by William ByersTo many outsiders, mathematicians appear to think like computers, grimly grinding away with a strict formal logic and moving methodically--even algorithmically--from one black-and-white deduction to another. Yet mathematicians often describe their most important breakthroughs as creative, intuitive responses to ambiguity, contradiction, and paradox. A unique examination of this less-familiar aspect of mathematics, How Mathematicians Think reveals that mathematics is a profoundly creative activity and not just a body of formalized rules and results. Nonlogical qualities, William Byers shows, play an essential role in mathematics. Ambiguities, contradictions, and paradoxes can arise when ideas developed in different contexts come into contact. Uncertainties and conflicts do not impede but rather spur the development of mathematics. Creativity often means bringing apparently incompatible perspectives together as complementary aspects of a new, more subtle theory. The secret of mathematics is not to be found only in its logical structure. The creative dimensions of mathematical work have great implications for our notions of mathematical and scientific truth, and How Mathematicians Think provides a novel approach to many fundamental questions. Is mathematics objectively true? Is it discovered or invented? And is there such a thing as a "final" scientific theory? Ultimately, How Mathematicians Think shows that the nature of mathematical thinking can teach us a great deal about the human condition itself.
How Much Inequality Is Fair?: Mathematical Principles of a Moral, Optimal, and Stable Capitalist Society
by Venkat VenkatasubramanianMany in the United States feel that the nation’s current level of economic inequality is unfair and that capitalism is not working for 90% of the population. Yet some inequality is inevitable. The question is: What level of inequality is fair? Mainstream economics has offered little guidance on fairness and the ideal distribution of income. Political philosophy, meanwhile, has much to say about fairness yet relies on qualitative theories that cannot be verified by empirical data. To address inequality, we need to know what the goal is—and for this, we need a quantitative, testable theory of fairness for free-market capitalism.How Much Inequality Is Fair? synthesizes concepts from economics, political philosophy, game theory, information theory, statistical mechanics, and systems engineering into a mathematical framework for a fair free-market society. The key to this framework is the insight that maximizing fairness means maximizing entropy, which makes it possible to determine the fairest possible level of pay inequality. The framework therefore provides a moral justification for capitalism in mathematical terms. Venkat Venkatasubramanian also compares his theory’s predictions to actual inequality data from various countries—showing, for instance, that Scandinavia has near-ideal fairness, while the United States is markedly unfair—and discusses the theory’s implications for tax policy, social programs, and executive compensation.
How Much Is A Million?
by David M. SchwartzAn attempt to help children conceptualize the immensity of numbers is aided immeasurably by the artist's jovial, detailed, whimsical illustrations.
How Noble in Reason
by Alyn R. RockwoodArtificial Intelligence has already pervaded our lives in so many subtle ways, but how will humans react to the creation of a completely sentient super computer: a hyper-intelligent brain without a body who is as omniscient and omnipresent as the internet itself? How will people approach something that is distinguishable from a human only in its ap
How Not to Be Wrong: The Power of Mathematical Thinking
by Jordan Ellenberg<P>The Freakonomics of math—a math-world superstar unveils the hidden beauty and logic of the world and puts its power in our handsThe math we learn in school can seem like a dull set of rules, laid down by the ancients and not to be questioned. In How Not to Be Wrong, Jordan Ellenberg shows us how terribly limiting this view is: Math isn’t confined to abstract incidents that never occur in real life, but rather touches everything we do—the whole world is shot through with it. <P>Math allows us to see the hidden structures underneath the messy and chaotic surface of our world. It’s a science of not being wrong, hammered out by centuries of hard work and argument. Armed with the tools of mathematics, we can see through to the true meaning of information we take for granted: How early should you get to the airport? What does “public opinion” really represent? Why do tall parents have shorter children? Who really won Florida in 2000? And how likely are you, really, to develop cancer? <P>How Not to Be Wrong presents the surprising revelations behind all of these questions and many more, using the mathematician’s method of analyzing life and exposing the hard-won insights of the academic community to the layman—minus the jargon. Ellenberg chases mathematical threads through a vast range of time and space, from the everyday to the cosmic, encountering, among other things, baseball, Reaganomics, daring lottery schemes, Voltaire, the replicability crisis in psychology, Italian Renaissance painting, artificial languages, the development of non-Euclidean geometry, the coming obesity apocalypse, Antonin Scalia’s views on crime and punishment, the psychology of slime molds, what Facebook can and can’t figure out about you, and the existence of God. <P>Ellenberg pulls from history as well as from the latest theoretical developments to provide those not trained in math with the knowledge they need. Math, as Ellenberg says, is “an atomic-powered prosthesis that you attach to your common sense, vastly multiplying its reach and strength.” With the tools of mathematics in hand, you can understand the world in a deeper, more meaningful way. How Not to Be Wrong will show you how. <P><b>A New York Times Bestseller</b>
How Numbers Work: Discover the strange and beautiful world of mathematics (New Scientist Instant Expert Ser.)
by New ScientistThink of a number between one and ten. No, hang on, let's make this interesting. Between zero and infinity. Even if you stick to the whole numbers, there are a lot to choose from - an infinite number in fact. Throw in decimal fractions and infinity suddenly gets an awful lot bigger (is that even possible?) And then there are the negative numbers, the imaginary numbers, the irrational numbers like pi which never end. It literally never ends. <P><P>The world of numbers is indeed strange and beautiful. Among its inhabitants are some really notable characters - pi, e, the "imaginary" number i and the famous golden ratio to name just a few. Prime numbers occupy a special status. Zero is very odd indeed: is it a number, or isn't it? <P><P>How Numbers Work takes a tour of this mind-blowing but beautiful realm of numbers and the mathematical rules that connect them. Not only that, but take a crash course on the biggest unsolved problems that keep mathematicians up at night, find out about the strange and unexpected ways mathematics influences our everyday lives, and discover the incredible connection between numbers and reality itself. <P><P>ABOUT THE SERIES <P><P>New Scientist Instant Expert books are definitive and accessible entry points to the most important subjects in science; subjects that challenge, attract debate, invite controversy and engage the most enquiring minds. Designed for curious readers who want to know how things work and why, the Instant Expert series explores the topics that really matter and their impact on individuals, society, and the planet, translating the scientific complexities around us into language that's open to everyone, and putting new ideas and discoveries into perspective and context.
How Numbers Work: Discover the strange and beautiful world of mathematics (Instant Expert)
by New ScientistThink of a number between one and tenNo, hang on, let's make this interesting. Between zero and infinity. Even if you stick to the whole numbers, there are a lot to choose from - an infinite number in fact. Throw in decimal fractions and infinity suddenly gets an awful lot bigger (is that even possible?) And then there are the negative numbers, the imaginary numbers, the irrational numbers like p which never end. It literally never ends.The world of numbers is indeed strange and beautiful. Among its inhabitants are some really notable characters - pi, e, the square root of minus two and the famous golden ratio to name just a few. Prime numbers occupy a special status. Zero is very odd indeed. And even some apparently common-or-garden integers such as 37 have special properties. Adventures In Mathematics takes a tour of this mind-blowing but beautiful world of numbers and the mathematical rules that connect them. Find out mathematicians' favourite numbers, and the ones they are afraid of (spoiler: it isn't 13). Discover the incredible connection between numbers and the rules of nature. And learn some amazing mathematical tricks that will keep you amused for hours.
How Numbers Work: Discover the strange and beautiful world of mathematics (New Scientist Instant Expert)
by New ScientistHow Numbers Work is a tour of the mind-blowing but beautiful realm of numbers and the mathematical rules that connect them.Think of a number between one and ten. No, hang on, let's make this interesting. Between zero and infinity. Even if you stick to the whole numbers, there are a lot to choose from - an infinite number in fact. Throw in decimal fractions and infinity suddenly gets an awful lot bigger (is that even possible?) And then there are the negative numbers, the imaginary numbers, the irrational numbers like pi which never end. It literally never ends.The world of numbers is indeed strange and beautiful. Among its inhabitants are some really notable characters - pi, e, the "imaginary" number i and the famous golden ratio to name just a few. Prime numbers occupy a special status. Zero is very odd indeed: is it a number, or isn't it?How Numbers Work takes a tour of this mind-blowing but beautiful realm of numbers and the mathematical rules that connect them. Not only that, but take a crash course on the biggest unsolved problems that keep mathematicians up at night, find out about the strange and unexpected ways mathematics influences our everyday lives, and discover the incredible connection between numbers and reality itself. ABOUT THE SERIESNew Scientist Instant Expert books are definitive and accessible entry points to the most important subjects in science; subjects that challenge, attract debate, invite controversy and engage the most enquiring minds. Designed for curious readers who want to know how things work and why, the Instant Expert series explores the topics that really matter and their impact on individuals, society, and the planet, translating the scientific complexities around us into language that's open to everyone, and putting new ideas and discoveries into perspective and context.(P)2018 Hodder & Stoughton Limited
How Pi Can Save Your Life: Using Math to Survive Plane Crashes, Zombie Attacks, Alien Encounters, and Other Improbable Real-World Situations
by Chris WaringMath to the rescue! Discover equations for all sorts of real-world situations in this fun guide to surviving an unpredictable world. Learn how to survive absurd yet statistically possible scenarios using the all-encompassing power of mathematical equations! Whether you paid much attention in math class or not, the inescapable truth is that life is full of equations. You use differentiation when driving from point A to B and apply basic geometry when you&’re crossing the road between traffic, even if you don&’t realize it. But what if you were plummeting to your death in a plane with no engine and needed to know what size parachute to make from your cabinmate&’s sari in order to survive? Math teacher Chris Waring tackles some frankly ridiculous scenarios with essential, bulletproof equations so you can learn to: Communicate with an alien civilization Save your town from a zombie apocalypse Contain a major oil spill Excavate a fossil that could be a major scientific discovery Pilot a space shuttle back to earth Guard a priceless painting in the Louvre Perform Hollywood stunts in a blockbuster action film, and more! Praise for Chris Waring &“Exploring the mysteries of math has never been so much fun.&” —Lancashire Evening Post
How Qualitative Data Analysis Happens: Moving Beyond “Themes Emerged”
by Áine M. Humble M. Elise RadinaHow Qualitative Data Analysis Happens: Moving Beyond “Themes Emerged”, offers an in-depth look into how qualitative social science researchers studying a wide range of human experiences and dynamics approach their data analyses. This expanded edition consists of 13 new chapters from a broad range of disciplines (and an added conclusion) that document the stories about how qualitative data analysis occurred.Chapters for this expanded edition represent a diversity of disciplines (e.g., criminology, family science, education, health, nutrition, sociology, sport psychology) that focus on the human experience and describe a diversity of methodological approaches. These chapters may be used to introduce readers to newer or innovative ways of analysing data. It moves beyond the usual vague statement of “themes emerged from the data” to show readers how researchers actively and consciously arrive at their themes and conclusions, revealing the complexity and time involved in making sense of thousands of pages of interview data, multiple data sources, and diverse types of data. The various authors provide detailed narratives into how they analysed their data from previous publications. The methodologies range from arts-based research, autoethnography, community-based participatory research, ethnography, grounded theory, to narrative analysis. The volume allows readers to be seemingly “in the room” with these international scholars (representing Canada, the US, Austria, Germany, the UK, and the Philippines) and getting their own hands vicariously dirty with the data.This expanded edition also includes a conclusion chapter, in which the authors reflect on commonalities across the chapters. Supplemental figures, images, and screenshots, which are referred to in the chapters, are included in an accompanying eResource (that can be accessed at www.routledge.com/ 9781032183213), as well as links to the previously published work on which the chapters are based. This book is an invaluable resource for experienced and novice qualitative researchers throughout the social sciences, as well as undergraduate and postgraduate students in the field.
How Qualitative Data Analysis Happens: Moving Beyond "Themes Emerged"
by Áine Humble Elise RadinaWinner of the 2020 Anselm Strauss Award for Qualitative Family Research, National Council on Family Relations. How is qualitative data actually collected, analyzed, and accomplished? Real stories of How Qualitative Data Analysis Occurs: Moving Beyond "Themes Emerged" offers an in-depth look into how qualitative social science researchers studying family issues and dynamics approach their data analyses. It moves beyond the usual vague statement of "themes emerged from the data" to show readers how researchers actively and consciously arrive at their themes and conclusions, revealing the complexity and time involved in making sense of thousands of pages of interview data, multiple data sources, and diverse types of data. How Qualitative Data Analysis Occurs focuses on a diversity of topics in family research across the life course. The various authors provide detailed narratives into how they analyzed their data from previous publications, and what methodologies they used, ranging from arts-based research, autoethnography, community-based participatory research, ethnography, grounded theory, to narrative analysis. Supplemental figures, images, and screenshots which are referred to in the chapters, are included in an accompanying eResource, as well as links to the previously published work on which the chapters are based. This book is an invaluable resource for experienced and novice qualitative researchers throughout the social sciences.
How Round Is Your Circle?: Where Engineering and Mathematics Meet
by John Bryant Chris SangwinHow do you draw a straight line? How do you determine if a circle is really round? These may sound like simple or even trivial mathematical problems, but to an engineer the answers can mean the difference between success and failure. How Round Is Your Circle? invites readers to explore many of the same fundamental questions that working engineers deal with every day--it's challenging, hands-on, and fun. John Bryant and Chris Sangwin illustrate how physical models are created from abstract mathematical ones. Using elementary geometry and trigonometry, they guide readers through paper-and-pencil reconstructions of mathematical problems and show them how to construct actual physical models themselves--directions included. It's an effective and entertaining way to explain how applied mathematics and engineering work together to solve problems, everything from keeping a piston aligned in its cylinder to ensuring that automotive driveshafts rotate smoothly. Intriguingly, checking the roundness of a manufactured object is trickier than one might think. When does the width of a saw blade affect an engineer's calculations--or, for that matter, the width of a physical line? When does a measurement need to be exact and when will an approximation suffice? Bryant and Sangwin tackle questions like these and enliven their discussions with many fascinating highlights from engineering history. Generously illustrated, How Round Is Your Circle? reveals some of the hidden complexities in everyday things.
How Slow Is a Sloth?: Measure the Rainforest (Nature Numbers)
by Jill EsbaumIn Nature Numbers, math is beautiful, recognizable, and all around us! Highly engaging pictures of animals and nature scenes, along with cool chalk illustrations, are used to introduce basic math concepts and encourage kids to see a world of numbers all around them.K-2 math concepts include measuring. This book explores measuring elements of the rainforest with amazing nature pictures and chalk illustrations!
How Small Social Systems Work: From Soccer Teams to Jazz Trios and Families (The Frontiers Collection)
by Yair NeumanMost of us are intuitively familiar with small social systems, such as families and soccer teams. Surprisingly, though, most of us are unaware of how complex these systems are or of the fact that they have a unique character distinguishing them from both populations and individuals. The current manuscript, which emerged from high-level scientific publications on the subject, aims to bridge this gap in our understanding of small social systems. The book aims to explain, illustrate, and model the unique and fascinating nature of small (social) systems by relying on deep scientific foundations and by using examples from sport, movies, music, and the martial arts. To support its friendly exposition of challenging scientific ideas, the book also discusses entertaining questions such as (1) why inviting your mother-in-law to dinner might be a challenging event, for reasons you have never considered; (2) why soccer teams should be messy in order to win; (3) why Nazis are deeply wrong in their understanding of the importance of entropy; and (4) why “panda fighters” failed in the UFC (Ultimate Fighting Championship)."How Small Systems Work is a welcome book, which sheds light on a branch of mathematics overlooked by scholars: how networks store information. Focusing on small systems, the book asks fundamental questions, providing the tools (and the examples) for answering them –with fun. Neuman analyses, with plenty of humor, the dynamics of a family of cats, the pleasure of listening to jazz, and the science behind football championships, while uncovering hidden gems in the history of cinema”Dr. Mario Alemi, author of “The Amazing Journey of Reason: from DNA to Artificial Intelligence”
How the Brain Learns Mathematics
by Dr David A. SousaTo reach all your math students, use your brain—and theirs, too! This updated bestseller takes readers to the next level with new brain-friendly strategies backed by the latest research and even more ways to seamlessly incorporate what you learn about your students’ developing minds into your math classroom. Discover the cognitive mechanisms for learning math, explore factors that contribute to learning difficulties, and follow a four-step teaching model that relates classroom experience to real-world applications. Features include: New strategies for motivating adolescents Integration of the arts into mathematics instruction New information on how technology affects attention and memory Expanded sections on number sense and ELL instruction More than 160 new references
How the World Really Works: The Science Behind How We Got Here and Where We're Going
by Vaclav SmilINSTANT NEW YORK TIMES BESTSELLER&“A new masterpiece from one of my favorite authors… [How The World Really Works] is a compelling and highly readable book that leaves readers with the fundamental grounding needed to help solve the world&’s toughest challenges.&”—Bill Gates &“Provocative but perceptive . . . You can agree or disagree with Smil—accept or doubt his &‘just the facts&’ posture—but you probably shouldn&’t ignore him.&”—The Washington PostAn essential analysis of the modern science and technology that makes our twenty-first century lives possible—a scientist's investigation into what science really does, and does not, accomplish.We have never had so much information at our fingertips and yet most of us don&’t know how the world really works. This book explains seven of the most fundamental realities governing our survival and prosperity. From energy and food production, through our material world and its globalization, to risks, our environment and its future, How the World Really Works offers a much-needed reality check—because before we can tackle problems effectively, we must understand the facts. In this ambitious and thought-provoking book we see, for example, that globalization isn&’t inevitable—the foolishness of allowing 70 per cent of the world&’s rubber gloves to be made in just one factory became glaringly obvious in 2020—and that our societies have been steadily increasing their dependence on fossil fuels, such that any promises of decarbonization by 2050 are a fairy tale. For example, each greenhouse-grown supermarket-bought tomato has the equivalent of five tablespoons of diesel embedded in its production, and we have no way of producing steel, cement or plastics at required scales without huge carbon emissions. Ultimately, Smil answers the most profound question of our age: are we irrevocably doomed or is a brighter utopia ahead? Compelling, data-rich and revisionist, this wonderfully broad, interdisciplinary guide finds faults with both extremes. Looking at the world through this quantitative lens reveals hidden truths that change the way we see our past, present and uncertain future.
How Things Work: The Computer Science Edition (How Things Work Series)
by Charles F. BowmanIt’s axiomatic to state that people fear what they do not understand, and this is especially true when it comes to technology. However, despite their prevalence, computers remain shrouded in mystery, and many users feel apprehensive when interacting with them. Smartphones have only exacerbated the issue. Indeed, most users of these devices leverage only a small fraction of the power they hold in their hands. How Things Work: The Computer Science Edition is a roadmap for readers who want to overcome their technophobia and harness the full power of everyday technology. Beginning with the basics, the book demystifies the mysterious world of computer science, explains its fundamental concepts in simple terms, and answers the questions many users feel too intimidated to ask. By the end of the book, readers will understand how computers and smart devices function and, more important, how they can make these devices work for them. To complete the picture, the book also introduces readers to the darker side of modern technology: security and privacy concerns, identity theft, and threats from the Dark Web.
How to Account for Sustainability: A Simple Guide to Measuring and Managing (Doshorts Ser.)
by Laura MusikanskiLearn how to measure, manage and account for sustainability in your business in clear, simple and feasible steps.This book takes you from concept to innovation and back to action items for all aspects of sustainability. Each chapter has four sections: (1) a specific description of sustainability challenges, (2) an example of a business making a profit by sustainability problem, (3) an exercise challenging the reader to identify business solutions and (4) clear, simple takeaways.The book is structured around the world’s most accepted guidelines for sustainability reporting, the Global Reporting Initiative.
How to Ace Calculus: The Streetwise Guide
by Joel Hass Colin Adams Abigail ThompsonWritten by three gifted-and funny-teachers, How to Ace Calculus provides humorous and readable explanations of the key topics of calculus without the technical details and fine print that would be found in a more formal text. Capturing the tone of students exchanging ideas among themselves, this unique guide also explains how calculus is taught, how to get the best teachers, what to study, and what is likely to be on exams-all the tricks of the trade that will make learning the material of first-semester calculus a piece of cake. Funny, irreverent, and flexible, How to Ace Calculus shows why learning calculus can be not only a mind-expanding experience but also fantastic fun.
How to Ace the Rest of Calculus: The Streetwise Guide (How to Ace)
by Colin Adams Abigail Thompson Joel HassThe sequel to How to Ace Calculus, How to Ace the Rest of Calculus provides humorous and highly readable explanations of the key topics of second and third semester calculus-such as sequences and series, polor coordinates, and multivariable calculus-without the technical details and fine print that would be found in a formal text.