The most fundamental differences are philosophical, and readers of this book will emerge with a clearer understandingof paradoxical-sounding concepts such as infinity, curved space, and imaginary numbers. The first few chapters are about general aspects of mathematical thought. These are followed by discussions of more specific topics, and the book closes with a chapter answering common sociological questionsabout the mathematical community (such as Is it true that mathematicians burn out at the age of 25?) It is the ideal introduction for anyone who wishes to deepen their understanding of mathematics.About the Series: Combining authority with wit, accessibility, and style, Very Short Introductions offer an introduction to some of life's most interesting topics. Written by experts for the newcomer, they demonstrate the finest contemporary thinking about the central problems and issues in hundredsof key topics, from philosophy to Freud, quantum theory to Islam.

    Thirteen-year-old award-winning slam poet Solli Raphael is taking on the world … one word at a time. The future needs you and me to create equality across all levels of humanity ~ SolliLimelight is a unique collection of slam poetry paired with inspirational writing techniques. With over 30 original poems in different forms, the book features the viral video sensation ‘Australian Air’, which has been viewed 3.5 million times via Facebook. Solli’s work tackles current social concerns for his generation, such as sustainability and social equality, all the while amplifying his uplifting message of hope.The book includes several introductory chapters looking at traditional poetry forms and slam poetry, as well as tips on developing writing ideas and performing. Filled with his own experiences of creating poetry and speaking in public, such as Solli’s top 10 ways to manage writer’s block, this book engages kids on their level and encourages them to speak up for a better future of their own.As a voice of his generation, and at a time when youth movements worldwide hold much importance, this extraordinary book showcases creativity and the power of social consciousness.

    They are sharing everything they know, and turning knowledge into action in ways that were unimaginable even a decade ago. Driven by technology, and shaped by common values, going ‘open’ has transformed the way we live. It’s not so much a question of if our workplaces, schools and colleges go open, but when.Packed with illustration and advice, this entertaining read by learning futurist, David Price, argues that ‘open’ is not only affecting how we are choosing to live, but that it’s going to be the difference between success and failure in the future.

    Topics include: Trigonometric Identities & Equations, Circular Functions, and Polar Equations & Complex Numbers.

    Unwitting humans create a zone of disturbance that scatters the wildlife. Respectful humans who heed the birds acquire an awareness that radically changes the dynamic. We are welcome in their habitat. The birds don't fly away. The larger animals don't race off. No longer hapless intruders, we now find, see, and engage the deer, the fox, the red-shouldered hawk—even the elusive, whispering wren.Deep bird language is an ancient discipline, perfected by Native peoples the world over. Finally, science is catching up. This groundbreaking book unites the indigenous knowledge, the latest research, and the author's own experience of four decades in the field to lead us toward a deeper connection to the animals and, in the end, a deeper connection to ourselves.

    In Tammet's world, numbers are beautiful and mathematics illuminates our lives and minds. Using anecdotes, everyday examples, and ruminations on history, literature, and more, Tammet allows us to share his unique insights and delight in the way numbers, fractions, and equations underpin all our lives. Inspired by the complexity of snowflakes, Anne Boleyn's eleven fingers, or his many siblings, Tammet explores questions such as why time seems to speed up as we age, whether there is such a thing as an average person, and how we can make sense of those we love. Thinking In Numbers will change the way you think about math and fire your imagination to see the world with fresh eyes.

    students on international comparisons of mathematics competency. Paradoxically, Chinese teachers receive far less education than U.S. teachers--11 to 12 years of schooling versus 16 to 18 years of schooling.Studies of U.S. teacher knowledge often document insufficient subject matter knowledge in mathematics. But, they give few examples of the knowledge teachers need to support teaching, particularly the kind of teaching demanded by recent reforms in mathematics education.This book describes the nature and development of the "profound understanding of fundamental mathematics" that elementary teachers need to become accomplished mathematics teachers, and suggests why such teaching knowledge is much more common in China than the United States, despite the fact that Chinese teachers have less formal education than their U.S. counterparts.The studies described in this book suggest that Chinese teachers begin their teaching careers with a better understanding of elementary mathematics than that of most U.S. elementary teachers. Their understanding of the mathematics they teach and--equally important--of the ways that elementary mathematics can be presented to students, continues to grow throughout their professional lives.Teaching conditions in the United States, unlike those in China, militate against the development of elementary teachers' mathematical knowledge and its organization for teaching. The concluding chapter of the book suggests changes in teacher preparation, teacher support, and mathematics education research that might allow teachers in the United States to attain profound understanding of fundamental mathematics.

    But the rest of us wish that parenting came with operating instructions. Now it does. The result of thirty years of scientific research, Alan Kazdin’s The Everyday Parenting Toolkit will guide you through every developmental stage—from toddler to teenager—and make you a more relaxed, confident, and competent parent. The rigorously tested strategies in this book will not only help change your child’s behavior, they will also decrease the stress in family relations, increase your joy in parenting, and help build a more nurturing home life that can directly improve children's mental and physical health and school success. You won’t find abstract philosophy here. You’ll see every point, every strategy, illustrated with real-life examples. From toilet training to teaching a child to accept “no” without a tantrum all the way up to struggles over cellphones and curfew; from swiftly and gently correcting problem behaviors to fostering positive character qualities like respect for others, honesty, good friendships, or altruism, The Everyday Parenting Toolkit will surprise you time and again with counterintuitive advice that works. For years parents have been coming to Dr. Kazdin’s Parenting Center at Yale University for help with the challenges, large and small, of child rearing. With the publication of this book, every reader can gain access to that advice and to parenting know-how that transforms families.

    With their trademark wit and style, authors David Kidder and Noah Oppenheim offer an array of fascinating facts about major figures from Atilla the Hun to Desmond Tutu.In this daily devotional, learn about:• authors and artists, from Homer and Ovid to Oscar Wilde and Virginia Woolf• leaders, such as Queen Elizabeth I, Abraham Lincoln, Susan B. Anthony, and Napoleon Bonaparte• innovators, from Johannes Gutenberg to Isaac Newton to Werner Heisenberg• philosophers, including Socrates, Epicurus, Friedrich Nietzsche, and Jean-Paul Sartre• rebels and reformers, from Joan of Arc and Spartacus to Galileo and Che Guevara• preachers and prophets, including Lao-tzu, John the Baptist, Martin Luther, and Gandhi• villains, such as Benedict Arnold, Genghis Khan, Ivan the Terrible, and Jack the RipperThis volume shares the personal histories, accomplishments,and troubles of 365 people who have left an indelible mark on the world.

    These are not just great thinkers they also make great comics. Action Philosophers details the lives and thoughts of history's A-list brain trust in hip and humorous comic book fashion. All nine issues of the award-winning, best-selling comic book series have been collected into a single volume, making this a comprehensive cartoon history of ideas from pre-Socratics to Jacques Derrida, including four new stories. ""You'll never have more fun getting the real scoop on the big ideas that have made the world the mess we live in today!"" — Tom Morris (Author of Philosophy for Dummies, If Aristotle Ran General Motors, and If Harry Potter Ran General Electric).

    In his latest book, he draws on what he learned from his own ten-year journey as well as from coaching thousands of others to walk you through the seven stages to discovering and doing meaningful work. Relevant to any job or industry, you’ll learn step-by-step how to:1. Get Clear on the work you were uniquely made to do and why.2. Get Qualified to do the work you were created for.3. Get Connected with the right people who can open the doors to your dream.4. Get Started by overcoming the emotions and mistakes that often hold people back.5. Get Promoted by developing winning habits and traits.6. Get Your Dream Job by doing work you love and accomplishing results that matter to you.7. Give Yourself Away by expanding the dream to leave a legacy.This is your moment. You are needed, and you were made to contribute. It’s time to exit the daily grind and use your talents to start living your dream once and for all.

    A self-confessed workaholic, she regularly put 'knife before life', knowing it was all going to be worth it because it would lead to her longed-for career.But if the punishing hours in surgery weren't hard enough, she also faced challenges as a young female surgeon navigating a male-dominated specialty. She was regularly left to carry out complex procedures without senior surgeons' oversight; she was called all sorts of things, from 'emotional' to 'too confident'; and she was expected to work a relentless on-call roster - sometimes seventy hours a week or more - to prove herself.Eventually it was too much and Yumiko quit.Emotional Female is her account of what it was like to train in the Australian public hospital system, and what made her walk away.Yumiko Kadota is a voice for her generation when it comes to burnout and finding the resilience to rebuild after suffering a physical, emotional and existential breakdown. This is a brave, honest and unflinching work from a major new talent.

    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!

    How can a three year old child simply disappear?On Friday 12 September 2014, William Tyrrell - a playful three-year-old boy dressed in a fire-engine red Spider-Man suit - disappears from a quiet street in broad daylight. It's assumed he's lost in the nearby bushland, but despite an intensive search, he's not found, and police start to suspect he's been abducted. No trace of William - not a shoe, not a hair - has ever been found, but now is not the time to surrender. How can a little boy just vanish? We have to find him.From best-selling author and Walkley Award-winning journalist, Caroline Overington, Missing William Tyrrell is a moving and compelling exploration of one of Australia's most baffling and heartbreaking mysteries.

    He loves being a little bit famous for his videos, but at the end of the day he's a lone wolf - one who's more interested in Caramilk on the couch than cocktails in the club. He's a strong believer in Netflix and chilling at home, alone; he's always the first to smokebomb social events, and he is in a committed relationship with his indoor plants.Christian tells his behind-the-scenes story with his signature, completely unapologetic honesty, from growing up with triplet brothers to building a career in comedy; from his fear of moths to some of his more daring Grindr sexcapades. He invites you into his personal creative universe, where wearing a wig to make random videos and screaming swearwordsat resin pendants somehow turn out to be great decisions.Leave Me Alone is a story of breaking the mould and embracing exactly who you are, even if that means telling people to leave you the f**k alone.