Today, unfortunately, the traditional place of mathematics in education is in grave danger. The teaching and learning of mathematics has degenerated into the realm of rote memorization, the outcome of which leads to satisfactory formal ability but does not lead to real understanding or to greater intellectual independence. This new edition of Richard Courant's and Herbert Robbins's classic work seeks to address this problem. Its goal is to put the meaning back into mathematics.Written for beginners and scholars, for students and teachers, for philosophers and engineers, What is Mathematics? Second Edition is a sparkling collection of mathematical gems that offers an entertaining and accessible portrait of the mathematical world. Covering everything from natural numbers and the number system to geometrical constructions and projective geometry, from topology and calculus to matters of principle and the Continuum Hypothesis, this fascinating survey allows readers to delve into mathematics as an organic whole rather than an empty drill in problem solving. With chapters largely independent of one another and sections that lead upward from basic to more advanced discussions, readers can easily pick and choose areas of particular interest without impairing their understanding of subsequent parts.Brought up to date with a new chapter by Ian Stewart, What is Mathematics? Second Edition offers new insights into recent mathematical developments and describes proofs of the Four-Color Theorem and Fermat's Last Theorem, problems that were still open when Courant and Robbins wrote this masterpiece, but ones that have since been solved.Formal mathematics is like spelling and grammar - a matter of the correct application of local rules. Meaningful mathematics is like journalism - it tells an interesting story. But unlike some journalism, the story has to be true. The best mathematics is like literature - it brings a story to life before your eyes and involves you in it, intellectually and emotionally. What is Mathematics is like a fine piece of literature - it opens a window onto the world of mathematics for anyone interested to view.

    Science writer Neil Ardley shows how you can use everyday objects to discover the basic principles of science and understand how these apply to the world around you. So if you want to make a volcano erupt, see around corners, find out how your eyes work, or build an electromagnet, this fascinating book will show you how.Make science fun with 101 exciting step-by-step experiments that are safe and easy to do at home.

    Using playing cards, a newspaper, the back of an envelope, a Sudoku, some pennies and of course a pair of socks, Rob Eastaway shows how maths can demonstrate its secret beauties in even the most mundane of everyday objects. Among the many fascinating curiosities in these pages, you will discover the strange link between limericks and rabbits, an apparently 'fair' coin game where the odds are massively in your favour, why tourist boards can't agree on where the centre of Britain is, and how simple paper folding can lead to a Jurassic Park monster. With plenty of ideas you'll want to test out for yourself, this engaging and refreshing look at mathematics is for everyone.

    Engineering professor Barbara Oakley knows firsthand how it feels to struggle with math. She flunked her way through high school math and science courses, before enlisting in the army immediately after graduation. When she saw how her lack of mathematical and technical savvy severely limited her options—both to rise in the military and to explore other careers—she returned to school with a newfound determination to re-tool her brain to master the very subjects that had given her so much trouble throughout her entire life. In A Mind for Numbers, Dr. Oakley lets us in on the secrets to effectively learning math and science—secrets that even dedicated and successful students wish they’d known earlier. Contrary to popular belief, math requires creative, as well as analytical, thinking. Most people think that there’s only one way to do a problem, when in actuality, there are often a number of different solutions—you just need the creativity to see them. For example, there are more than three hundred different known proofs of the Pythagorean Theorem. In short, studying a problem in a laser-focused way until you reach a solution is not an effective way to learn math. Rather, it involves taking the time to step away from a problem and allow the more relaxed and creative part of the brain to take over. A Mind for Numbers shows us that we all have what it takes to excel in math, and learning it is not as painful as some might think!

    Perfect for reading on winter days, the book features photos of real snow crystals in their beautiful diversity. Snowflake-catching instructions are also included.

    But in every corner of the world this age-old custom is rapidly changing. From increased trade between countries to the expansion of global food corporations like Kraft and Nestlé, current events are having a tremendous impact on our eating habits. Chances are your supermarket is stocking a variety of international foods, and American fast food chains like McDonald’s and Kentucky Fried Chicken are popping up all over the planet. For the first time in history, more people are overfed than underfed. And while some people still have barely enough to eat, others overeat to the point of illness. To find out how mealtime is changing in real homes, authors Peter Menzel and Faith D’Aluisio visited families around the world to observe and photograph what they eat during the course of one week. They joined parents while they shopped at mega grocery stores and outdoor markets, and participated in a feast where a single goat was shared among many families. They watched moms making dinner in kitchens and over cooking fires, and they sat down to eat with twenty-five families in twenty-one countries--if you’re keeping track, that’s about 525 meals! The foods dished up ranged from hunted seal and spit-roasted guinea pig to U.N.-rationed grains and gallons of Coca-Cola. As Peter and Faith ate and talked with families, they learned firsthand about food consumption around the world and its corresponding causes and effects. The resulting family portraits offer a fascinating glimpse into the cultural similarities and differences served on dinner plates around the globe.

    Volume Two dramatizes the lives of Omar Khayyam, Albert Einstein, Ada Lovelace, and others.

    And illustrator Priscilla Lamont's funny, friendly paintings make this a garden everyone will want to explore.Kids will eat up this wonderful book of backyard science—and perhaps they'll even be inspired to eat their vegetables!"A wonderfully informative and enjoyable journey through one family’s backyard garden, from spring planting to fall harvest. . . . this is bound to spark some backyard explorations." —Kirkus, Starred ReviewFrom the Hardcover edition.

    Large margins make this edition a pleasure read or study.

    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.

    Strong back matter empowers readers to learn about the history of timekeeping and time zones, and to explore where each of the characters lives on the world map. A distinctive educational tool, this picture book's warm, unique illustrations also make it a joy to read aloud and admire.