But what if we took these big, hard-to-imagine objects and events and compared them to things we can see, feel and touch? Instantly, we'd see our world in a whole new way." So begins this endlessly intriguing guide to better understanding all those really big ideas and numbers children come across on a regular basis. Author David J. Smith has found clever devices to scale down everything from time lines (the history of Earth compressed into one year), to quantities (all the wealth in the world divided into one hundred coins), to size differences (the planets shown as different types of balls). Accompanying each description is a kid-friendly drawing by illustrator Steve Adams that visually reinforces the concept. By simply reducing everything to human scale, Smith has made the incomprehensible easier to grasp, and therefore more meaningful. The children who just love these kinds of fact-filled, knock-your-socks-off books will want to read this one from cover to cover. It will find the most use, however, as an excellent classroom reference that can be reached for again and again when studying scale and measurement in math, and also for any number of applications in social studies, science and language arts. For those who want to delve a little deeper, Smith has included six suggestions for classroom projects. There is also a full page of resource information at the back of the book.

    . . We live in all kinds of places. In all kinds of homes. In all kinds of families. Each of us is different. But all of us are amazing. And, together, we share one beautiful planet. This masterful and moving picture book is a visually comprehensive guide to the earth, imbued with warmth and humor. • Ideal for children ages 3 to 5 years old• Resonates year-round as a go-to gift for birthdays, holidays, and more• A great pick for teachers looking for a crowd-pleasing picture book about the world for little students• Perfect for parents, grandparents, and caregivers• Add it to the shelf with books like The Travel Book by Lonely Planet Kids, Atlas of Adventures by Rachel Williams, and If You Lived Here: Houses of the World by Giles Laroche.

    Penrose, a cat with a knack for math, takes children on an adventurous tour of mathematical concepts from fractals to infinity.

    It had an illustration that captivated him–a diagram showing Earth’s interior as it would look if you cut into it with a large knife and removed about a quarter of its bulk. The idea of lots of startled cars and people falling off the edge of that sudden cliff (and 4,000 miles is a pretty long way to fall) was what grabbed him in the beginning, but gradually his attention turned to what the picture was trying to teach him: namely that Earth’s interior is made up of several different layers of materials, and at the very centre is a glowing sphere of iron and nickel, as hot as the Sun’s surface, according to the caption. And he very clearly remembers thinking: “How do they know that?”Bill’s storytelling skill makes the “How?” and, just as importantly, the “Who?” of scientific discovery entertaining and accessible for all ages. He covers the wonder and mystery of time and space, the frequently bizarre and often obsessive scientists and the methods they used, and the mind-boggling fact that, somehow, the universe exists and against all odds, life came to be on this wondrous planet we call home.

    It's a math class you'll never forget.This classic picture book is an ALA Notable Book, a Reading Rainbow Feature Selection, and a Boston Globe/Horn Book Honor Book for Illustration.The repackage of this fun look at math concepts includes a letter from the author that features several ways for children to find a million everyday things.

    Children and parents love the activities, ranging from cooking projects to crafts, board games to science experiments, and puzzles to projects.Each Story of the World Activity Book provides a full year of history study when combined with the Textbook, Audiobook, and Tests—each available separately to accompany each volume of The Story of the World Activity Book. Activity Book 1 Grade Recommendation: Grades 1-5.

    In A Brief History of Mathematical Thought, Luke Heaton explores how the language of mathematics has evolved over time, enabling new technologies and shaping the way people think. From stone-age rituals to algebra, calculus, and the concept of computation, Heaton shows the enormous influence of mathematics on science, philosophy and the broader human story. The book traces the fascinating history of mathematical practice, focusing on the impact of key conceptual innovations. Its structure of thirteen chapters split between four sections is dictated by a combination of historical and thematic considerations. In the first section, Heaton illuminates the fundamental concept of number. He begins with a speculative and rhetorical account of prehistoric rituals, before describing the practice of mathematics in Ancient Egypt, Babylon and Greece. He then examines the relationship between counting and the continuum of measurement, and explains how the rise of algebra has dramatically transformed our world. In the second section, he explores the origins of calculus and the conceptual shift that accompanied the birth of non-Euclidean geometries. In the third section, he examines the concept of the infinite and the fundamentals of formal logic. Finally, in section four, he considers the limits of formal proof, and the critical role of mathematics in our ongoing attempts to comprehend the world around us. The story of mathematics is fascinating in its own right, but Heaton does more than simply outline a history of mathematical ideas. More importantly, he shows clearly how the history and philosophy of maths provides an invaluable perspective on human nature.

    Hand argues that extraordinarily rare events are anything but. In fact, they’re commonplace. Not only that, we should all expect to experience a miracle roughly once every month.     But Hand is no believer in superstitions, prophecies, or the paranormal. His definition of “miracle” is thoroughly rational. No mystical or supernatural explanation is necessary to understand why someone is lucky enough to win the lottery twice, or is destined to be hit by lightning three times and still survive. All we need, Hand argues, is a firm grounding in a powerful set of laws: the laws of inevitability, of truly large numbers, of selection, of the probability lever, and of near enough.     Together, these constitute Hand’s groundbreaking Improbability Principle. And together, they explain why we should not be so surprised to bump into a friend in a foreign country, or to come across the same unfamiliar word four times in one day. Hand wrestles with seemingly less explicable questions as well: what the Bible and Shakespeare have in common, why financial crashes are par for the course, and why lightning does strike the same place (and the same person) twice. Along the way, he teaches us how to use the Improbability Principle in our own lives—including how to cash in at a casino and how to recognize when a medicine is truly effective.     An irresistible adventure into the laws behind “chance” moments and a trusty guide for understanding the world and universe we live in, The Improbability Principle will transform how you think about serendipity and luck, whether it’s in the world of business and finance or you’re merely sitting in your backyard, tossing a ball into the air and wondering where it will land.

    Focused on helping students understand and construct proofs and expanding their mathematical maturity, this best-selling text is an accessible introduction to discrete mathematics. Johnsonbaugh's algorithmic approach emphasizes problem-solving techniques. The Seventh Edition reflects user and reviewer feedback on both content and organization.

    In this book, William Cook takes readers on a mathematical excursion, picking up the salesman's trail in the 1800s when Irish mathematician W. R. Hamilton first defined the problem, and venturing to the furthest limits of today's state-of-the-art attempts to solve it. He also explores its many important applications, from genome sequencing and designing computer processors to arranging music and hunting for planets.In Pursuit of the Traveling Salesman travels to the very threshold of our understanding about the nature of complexity, and challenges you yourself to discover the solution to this captivating mathematical problem.

    How many stars were in the sky? A million? A billion? Maybe the number was as big as infinity. I started to feel very, very small. How could I even think about something as big as infinity? Uma can't help feeling small when she peers up at the night sky. She begins to wonder about infinity. Is infinity a number that grows forever? Is it an endless racetrack? Could infinity be in an ice cream cone? Uma soon finds that the ways to think about this big idea may just be . . . infinite.

    King Arthur was a good ruler, but now he needs a good ruler. What would you do if the neighboring kingdom were threatening war? Naturally, you'd call your strongest and bravest knights together to come up with a solution. But when your conference table causes more problems than the threat of your enemy, you need expert help. Enter Sir Cumference, his wife Lady Di of Ameter, and their son Radius. With the help of the carpenter, Geo of Metry, this sharp-minded team designs the perfect table conducive to discussing the perfect plan for peace. The first in Sir Cumference series, SIR CUMFERENCE AND THE FIRST ROUND TABLE makes math fun and accessible for everyone.

    It is a bridge from the computational courses (such as calculus or differential equations) that students typically encounter in their first year of college to a more abstract outlook. It lays a foundation for more theoretical courses such as topology, analysis and abstract algebra. Although it may be more meaningful to the student who has had some calculus, there is really no prerequisite other than a measure of mathematical maturity. Topics include sets, logic, counting, methods of conditional and non-conditional proof, disproof, induction, relations, functions and infinite cardinality.

    As we dream with him, we are taken further and further into mathematical theory, where ideas eventually take flight, until everyone--from those who fumble over fractions to those who solve complex equations in their heads--winds up marveling at what numbers can do.Hans Magnus Enzensberger is a true polymath, the kind of superb intellectual who loves thinking and marshals all of his charm and wit to share his passions with the world. In The Number Devil, he brings together the surreal logic of Alice in Wonderland and the existential geometry of Flatland with the kind of math everyone would love, if only they had a number devil to teach them.