This book will offer students a broad outline of essential mathematics and will help to fill in the gaps in their knowledge. The author explains the basic points and a few key results of all the most important undergraduate topics in mathematics, emphasizing the intuitions behind the subject. The topics include linear algebra, vector calculus, differential and analytical geometry, real analysis, point-set topology, probability, complex analysis, set theory, algorithms, and more. An annotated bibliography offers a guide to further reading and to more rigorous foundations.

    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.

    In this little book Welsh writer and artist David Wade paints a picture of one of the most elusive and pervasive concepts known to man.

    Schacter explores instances of what we would consider memory failure—absent-mindedness, transience, blocking, misattribution, suggestibility, bias, and persistence—and suggests instead that these miscues are actually indications that memory is functioning as designed. Drawing from vivid scientific research and creative literature, as well as high-profile events in which memory has figured significantly (Bill Clinton's grand jury testimony, for instance), The Seven Sins of Memory provides a more nuanced understanding of how memory and the mind influence each other and shape our lives.

    You experience it passing every day when you watch clocks tick, bread toast, and children grow. But most physicists see things differently, from Newton to Einstein to today’s quantum theorists. For them, time isn’t real. You may think you experience time passing, but they say it’s just an illusion.Lee Smolin, author of the controversial bestseller The Trouble with Physics, argues this limited notion of time is holding physics back. It’s time for a major revolution in scientific thought. The reality of time could be the key to the next big breakthrough in theoretical physics.What if the laws of physics themselves were not timeless? What if they could evolve? Time Reborn offers a radical new approach to cosmology that embraces the reality of time and opens up a whole new universe of possibilties. There are few ideas that, like our notion of time, shape our thinking about literally everything, with major implications for physics and beyond—from climate change to the economic crisis. Smolin explains in lively and lucid prose how the true nature of time impacts our world.

    Rather than give into her frustration, she reached for Buddha’s teachings—the Zen wisdom that formed the basis of her own longtime spiritual practice. She survived the semester and gradually rediscovered the joy of teaching that had been progressively declining. In this wonderful book, she shares the lessons she learned—lessons that reveal time and again: No matter the situation, it’s always about getting your head in the right place first. Resolution begins in our own minds. Some days, some semesters, and even some years will be more challenging and more wearisome than others, she warns. But in Buddha in the Classroom, Quesada offers a lasting source of encouragement and inspiration. Although the book draws from Eastern teachings, the wisdom is for everyone, regardless of personal background, creed, or faith. With elements of The Last Lecture as well as Chicken Soup for the Teacher’s Soul, this is the perfect gift for teachers—but also for anyone needing inspiration.

     When we tell kids to complete an assignment, we get compliance. When we empower kids to explore and learn how to make an impact on the world, we inspire problem solvers and innovators. This required change in education involves more than providing training for administrators and teachers to implement new curriculum or programs and resources; it demands that we, as teachers and leaders, create an environment where learners at every level are empowered to take risks in pursuit of learning and growth rather than perfection. This book is for you if you are wondering . . . What if learners were valued for their diverse talents and not just our traditional model of “smart”? What if I could create new and better experiences for those I serve? What if I could inspire students to learn, to discover their passions, and to share their ideas with the world? “This must-read book will inspire you to create experiences that develop learners, workers, and citizens who will thrive in a changing world.” —Linda Darling-Hammond, president, Learning Policy Institute “Katie not only provides an analysis of what's (glaringly) wrong in education, she also paints a bright vision for what's possible and provides a practical roadmap for how we might get there.” —Kaleb Rashad, director, High Tech High, San Diego “In Learner-Centered Innovation, Martin eloquently shares evidence-based, practical ways to ignite curiosity, develop passions, and unleash student genius through the types of learning experiences that today’s modern learners need to thrive in tomorrow’s world.” —Thomas C. Murray, director of innovation, Future Ready Schools “Learner-Centered Innovation is an inspirational call to action for all educators who dream of a brighter future for our children.” —Devin Vodicka, chief impact officer, AltSchool

    Created by a Hungarian nobleman, the machine-man known as The Turk traveled Europe and America, made the acquaintance of Benjamin Franklin, Catherine the Great, Napoleon Bonaparte, and Edgar Allan Poe.

    More than 500 solved Examples to make concepter very clear. Exhautive Exercises for Each topic.

    It reveals the attraction that has drawn leading mathematicians and amateurs alike to number theory over the course of history.

    and none of the mess you live with now. Declutter Your Home and Let Go of Your Stuff Without Losing Your Nostalgic Memories In this book, Claire shares tips that will help you give up the bulk of your sentimental clutter while keeping your most precious treasures to use and display. Learn how to shrink your collections of nostalgic items such as: Your children's baby clothes and toys Mementos from your own youth Clothes you've kept for decades Heirlooms you inherited Books you've kept for years Gifts you don't want (but feel you have to keep) Holiday decorations And everything else that brings back happy memories. Claire will teach you the art of discarding items that trigger your memories without actually losing those memories. If you've been hoarding too much stuff because you fear losing the memories along with the stuff, you need this book. This Decluttering Guide is Packed with Advice Whether you're downsizing the family home or you simply need to learn how to declutter in a way that honors your memories, this book is for you. If your adult children are moving out, or you're faced with going through the belongings of a beloved parent or other loved one, this will be one of your books that you refer to again and again, as it lists categories of sentimental items, and how to deal with each. Yes, You Can Declutter Without Losing Your Treasured Memories You don't have to live with overflowing closets, an attic full of boxes and a basement packed with more of the same, just because it's so hard for you to sort through and give up belongings linked to your past. The truth is, you CAN finally free yourself of clutter while keeping your most treasured belongings. There are many decluttering books and downsizing books, but this one is written by someone with personal experience. Claire and her family gave up more than half their possessions when they downsized from their large family home to a much smaller house. She let go of things she'd been carrying around for most of her life, as well as treasured mementos from many years of raising her large family to adulthood. In this book, she spells out the steps a sentimental person can take to reduce their clutter while keeping their memories intact. Read The Sentimental Person's Guide to Decluttering now, and start on the path to conquering clutter without giving up happy memories.

    This book combines educational research with examples of how retrieval practice can work inside and outside of the classroom.Filled with evidence-informed ideas to support all teachers and leaders across Primary and Secondary. Retrieval practice is a vital element of the science of learning. Understanding how children learn is essential for all educators from NQTs to more experienced teachers and senior leaders.The educational research is presented in a format which is accessible, useful and informative and will help inform educators about cutting-edge research in a comprehensive, clear and applicable way. The practical resources are adaptable and ready to be implemented in any classroom to support and enhance teaching, learning and long term memory.

    Whether pondering black holes or predicting discoveries at CERN, physicists believe the best theories are beautiful, natural, and elegant, and this standard separates popular theories from disposable ones. This is why, Sabine Hossenfelder argues, we have not seen a major breakthrough in the foundations of physics for more than four decades. The belief in beauty has become so dogmatic that it now conflicts with scientific objectivity: observation has been unable to confirm mindboggling theories, like supersymmetry or grand unification, invented by physicists based on aesthetic criteria. Worse, these "too good to not be true" theories are actually untestable and they have left the field in a cul-de-sac. To escape, physicists must rethink their methods. Only by embracing reality as it is can science discover the truth.

    Features twenty new chapters that cover such areas as Internet behavior, raising well-mannered children, dating, post-September 11 travel etiquette, tipping, and observing religious ceremonies.

    But in the same way that the science of space travel transforms our everyday lives, so research into telepathy, fortune-telling and out-of-body experiences produces remarkable insights into our brains, behaviour and beliefs. Paranormality embarks on a wild ghost chase into this new science of the supernatural and is packed with activities that allow you to experience the impossible. So throw away your crystals, ditch your lucky charms and cancel your subscription to Reincarnation Weekly. It is time to discover the real secrets of the paranormal. Learn how to control your dreams -- and leave your body behind Convince complete strangers that you know all about them Unleash the power of your unconscious mind.