For more than two thousand years a familiarity with mathematics has been regarded as an indispensable part of the intellectual equipment of every cultured person. 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, fr

Why does modern life revolve around objectives? From how science is funded, to improving how children are educated -- and nearly everything in-between -- our society has become obsessed with a seductive illusion:that greatness results from doggedly measuring improvement in the relentless pursuit of an ambitious goal. In Why Greatness Cannot Be Planned, Stanley and Lehman begin with a surprising scientific discovery in artificial intelligence that leads ultimately to the conclusion that the objective obsession has gone too far. They make the case that great achievement can't be bottled up into mechanical metrics;that innovation is not driven by narrowly focused heroic effort;and that we would be wiser (and the outcomes better) if instead we whole-heartedly embraced serendipitous discovery and playful creativity.Controversial at its heart, yet refreshingly provocative, this book challenges readers to consider life without a destination and discovery without a compass.

Whether we like it or not, the AI revolution is coming to education. In Brave New Words , Salman Khan, the visionary behind Khan Academy, explores how artificial intelligence and GPT technology will transform learning, and offers a road map for teachers, parents, and students to navigate this exciting (and sometimes intimidating) new world. A pioneer in the field of education technology, Khan examines the ins and outs of these cutting-edge tools and how they will revolutionize the way we learn and teach. For parents concerned about their children s success, Khan illustrates how AI can personalize learning by adapting to each student s individual pace and style, identifying strengths and areas for improvement, and offering tailored support and feedback to complement traditional classroom instruction. Khan emphasizes that embracing AI in education is not about replacing human interaction but enhancing it with customized and accessible learning tools that encourage creative problem-solving skills and prepare

This book enables STEMM researchers to write effective papers for publication as well as other research-related texts such as a doctoral thesis, technical report, or conference abstract. Science Research Writing uses a reverse-engineering approach to writing developed from extensive work with STEMM researchers at Imperial College London. This approach unpacks current models of STEMM research writing and helps writers to generate the writing tools needed to operate those models effectively in their own field. The reverse-engineering approach also ensures that writers develop future-proof strategies that will evolve alongside the coming changes in research communication platforms. The Second Edition has been extensively revised and updated to represent current practice and focuses on the writing needs of both early-stage doctoral STEMM researchers and experienced professional researchers at the highest level, whether or not they are native speakers of English. The book retains the practical, user-friendly form

Over 100 of the world's best cars in a comprehensive guide If you're fascinated by Ferraris and mad about Mercedes, Cool Cars is perfect for you, showing you all your favourite cars. Cool Cars is a visual car guide showcasing a selection of the best cars, handpicked by car expert Quentin Willson. Stunning multi-angle photography shows you the true craftsmanship and beauty of classic cars, including interiors and engine close-ups, so you can see exactly how your favourite fast car gets its speed. With all the latest super cars also shown in fascinating detail, Quentin Willson pays tribute to each vehicle, explaining why it's considered a classic and covering each car's historical, technical and performance details. Cool Cars (previous ISBN 9780751312812) is a must-have gift for motor enthusiasts everywhere.

Analogy is the core of all thinking. This is the simple but unorthodox premise that Pulitzer Prize -- winning author Douglas Hofstadter and French psychologist Emmanuel Sander defend in their new work. Hofstadter has been grappling with the mysteries of human thought for over thirty years. Now, with his trademark wit and special talent for making complex ideas vivid, he has partnered with Sander to put forth a highly novel perspective on cognition. We are constantly faced with a swirling and intermingling multitude of ill-defined situations. Our brain's job is to try to make sense of this unpredictable, swarming chaos of stimuli. How does it do so? The ceaseless hail of input triggers analogies galore, helping us to pinpoint the essence of what is going on. Often this means the spontaneous evocation of words, sometimes idioms, sometimes the triggering of nameless, long-buried memories. Why did two-year-old Camille proudly exclaim, "I undressed the banana!"? Why do people who hear a story often blurt out,