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

    The consequences of this gathering may be enormous. In this new ebook, experts Patrick J. Michaels and Paul C. Knappenberger assess the issues sure to drive the debate before, during, and after the Paris meeting.

    Global sea levels, as the result of rapidly melting polar ice rose by more than 300 feet in a very short period of time, causing the planet to become unstable.In Egypt, Peru, Bolivia, Lebanon and other locations we see the existence of ancient damaged but very sophisticated megalithic stone structures which we would be hard pressed to re-create today. They hint that once upon a time one or "Atlantean" civilizations indeed did exist

    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.

    New to this third edition are expanded coverage of such important topics as surface boundary interfaces, improved discussions of such physical and mathematical laws as the Law of Biot and Savart and the Euler Momentum Integral. A very important new section on Computational Fluid Dynamics has been added for the very first time to this edition. Expanded and improved end-of-chapter problems will facilitate the teaching experience for students and instrutors alike. This book remains one of the most comprehensive and useful texts on fluid mechanics available today, with applications going from engineering to geophysics, and beyond to biology and general science. * Ample, useful end-of-chapter problems.* Excellent Coverage of Computational Fluid Dynamics.* Coverage of Turbulent Flows.* Solutions Manual available.

    Well, I was diagnosed 24 years ago, and I still learned something new on every page.”—Michael Kinsley, Vanity Fair columnist and author of Old Age: A Beginner’s Guide Here is the book that John Vine and his wife, Joanne, wish they could have consulted when John was first diagnosed with Parkinson’s disease—a nontechnical, personal guide written from the patient’s perspective. Relying on his experiences over the past 12 years, John writes knowledgeably about all aspects of the disease. John also interviewed other Parkinson’s patients and their partners, whose stories and advice he includes throughout the book. “I wish we’d had John Vine’s book when my brother-in-law was diagnosed. The book is highly informative, unflinchingly honest, and reassuringly optimistic. It’s just what the doctor should have ordered.”—Cokie Roberts, best-selling author and political commentator on ABC News and NPR “John Vine details, in a compelling and accessible way, his experience with Parkinson’s disease. His book is an extraordinary guide to living successfully with Parkinson’s, and a must read for all who want to better understand the condition. Although diagnosed with Parkinson’s, my father lived an active and productive life until his death at age 94. As the book makes clear, while each patient’s journey is unique, common approaches are indispensable in treating the symptoms of the disease.”—Eric H. Holder, Jr. served as the 82nd Attorney General of the United States from 2009 to 2015 “John Vine has written the best primer I’ve ever read for newly diagnosed Parkinson’s patients and their families. It helps them cope with the shock of diagnosis, gives them (jargon-free) the scientific basics they need to know, describes the symptoms they may experience (making clear that every case is different) and catalogs the resources available to navigate living with Parkinson’s. John humanizes the book by describing his own experience and that of 22 other patients and their partners. I’d urge every neurologist to have copies of Vine’s primer on hand to help new PD on their journey forward.”—Morton Kondracke, author of Saving Milly: Love, Politics and Parkinson’s Disease and a member of the Founders' Council of the Michael J. Fox Foundation “My husband has PD, and I devoured this book. It’s wise, wonderfully readable, and, above all, helpful. Since John Vine has PD, he speaks with great authority about the challenges, both physical and psychological. If you have Parkinson’s, live with someone who has it, or just know someone battling the disease, A Parkinson’s Primer is for you.”—Lesley Stahl, award-winning television journalist on the CBS News program 60 Minutes “This is a remarkable book describing the personal experiences of many individuals, including the author, living with Parkinson’s disease. It captures the fact that although there are many possible symptoms in this disease, each person experiences different symptoms and copes with them in various ways. The thoughtful and insightful comments and coping strategies should be helpful for persons with PD, and their partners, regardless of the stage of the disease.”—Stephen Grill, MD, PhD, Director of the Parkinson’s & Movement Disorders Center of Maryland John M. Vine is a lawyer at Covington & Burling LLP in Washington, DC, where he is the senior member and former head of the firm’s employee benefits group. He was diagnosed with Parkinson’s in 2004.

    Linear Equations; Vector Spaces; Linear Transformations; Polynomials; Determinants; Elementary canonical Forms; Rational and Jordan Forms; Inner Product Spaces; Operators on Inner Product Spaces; Bilinear Forms For all readers interested in linear algebra.

    Louis are all intimately connected with the mysterious number e. In this informal and engaging history, Eli Maor portrays the curious characters and the elegant mathematics that lie behind the number. Designed for a reader with only a modest mathematical background, this biography brings out the central importance of e to mathematics and illuminates a golden era in the age of science.

    This book can be cut, drawn in, folded into shapes and will even take you to the fourth dimension. So join stand-up mathematician Matt Parker on a journey through narcissistic numbers, optimal dating algorithms, at least two different kinds of infinity and more.

    Wilczek’s groundbreaking work in quantum physics was inspired by his intuition to look for a deeper order of beauty in nature. In fact, every major advance in his career came from this intuition: to assume that the universe embodies beautiful forms, forms whose hallmarks are symmetry—harmony, balance, proportion—and economy. There are other meanings of “beauty,” but this is the deep logic of the universe—and it is no accident that it is also at the heart of what we find aesthetically pleasing and inspiring.Wilczek is hardly alone among great scientists in charting his course using beauty as his compass. As he reveals in A Beautiful Question, this has been the heart of scientific pursuit from Pythagoras, the ancient Greek who was the first to argue that “all things are number,” to Galileo, Newton, Maxwell, Einstein, and into the deep waters of twentiethcentury physics. Though the ancients weren’t right about everything, their ardent belief in the music of the spheres has proved true down to the quantum level. Indeed, Wilczek explores just how intertwined our ideas about beauty and art are with our scientific understanding of the cosmos.Wilczek brings us right to the edge of knowledge today, where the core insights of even the craziest quantum ideas apply principles we all understand. The equations for atoms and light are almost literally the same equations that govern musical instruments and sound; the subatomic particles that are responsible for most of our mass are determined by simple geometric symmetries. The universe itself, suggests Wilczek, seems to want to embody beautiful and elegant forms. Perhaps this force is the pure elegance of numbers, perhaps the work of a higher being, or somewhere between. Either way, we don’t depart from the infinite and infinitesimal after all; we’re profoundly connected to them, and we connect them. When we find that our sense of beauty is realized in the physical world, we are discovering something about the world, but also something about ourselves.Gorgeously illustrated, A Beautiful Question is a mind-shifting book that braids the age-old quest for beauty and the age-old quest for truth into a thrilling synthesis. It is a dazzling and important work from one of our best thinkers, whose humor and infectious sense of wonder animate every page. Yes: The world is a work of art, and its deepest truths are ones we already feel, as if they were somehow written in our souls.

    Petr Beckmann holds up this mirror, giving the background of the times when pi made progress -- and also when it did not, because science was being stifled by militarism or religious fanaticism.

    H. Hardy was one of this century's finest mathematical thinkers, renowned among his contemporaries as a 'real mathematician ... the purest of the pure'. He was also, as C. P. Snow recounts in his Foreword, 'unorthodox, eccentric, radical, ready to talk about anything'. This 'apology', written in 1940 as his mathematical powers were declining, offers a brilliant and engaging account of mathematics as very much more than a science; when it was first published, Graham Greene hailed it alongside Henry James's notebooks as 'the best account of what it was like to be a creative artist'. C. P. Snow's Foreword gives sympathetic and witty insights into Hardy's life, with its rich store of anecdotes concerning his collaboration with the brilliant Indian mathematician Ramanujan, his aphorisms and idiosyncrasies, and his passion for cricket. This is a unique account of the fascination of mathematics and of one of its most compelling exponents in modern times.

    Deep down, a human brain is a chaotic seething soup of particles, on a higher level it is a jungle of neurons, and on a yet higher level it is a network of abstractions that we call "symbols." The most central and complex symbol in your brain or mine is the one we both call "I." The "I" is the nexus in our brain where the levels feed back into each other and flip causality upside down, with symbols seeming to have free will and to have gained the paradoxical ability to push particles around, rather than the reverse. For each human being, this "I" seems to be the realest thing in the world. But how can such a mysterious abstraction be real--or is our "I" merely a convenient fiction? Does an "I" exert genuine power over the particles in our brain, or is it helplessly pushed around by the all-powerful laws of physics? These are the mysteries tackled in I Am a Strange Loop, Douglas R. Hofstadter's first book-length journey into philosophy since Godel, Escher, Bach. Compulsively readable and endlessly thought-provoking, this is the book Hofstadter's many readers have long been waiting for.

    The book emphasizes a general introduction to probability theory and provides a detailed discussion of specific designs and analyses that are typically encountered in ecology and environmental science. Appropriate for use as either a stand-alone or supplementary text for upper-division undergraduate or graduate courses in ecological and environmental statistics, ecology, environmental science, environmental studies, or experimental design, the Primer also serves as a resource for environmental professionals who need to use and interpret statistics daily but have little or no formal training in the subject.

    At a summer tea party in Cambridge, England, a guest states that tea poured into milk tastes different from milk poured into tea. Her notion is shouted down by the scientific minds of the group. But one man, Ronald Fisher, proposes to scientifically test the hypothesis. There is no better person to conduct such an experiment, for Fisher is a pioneer in the field of statistics.The Lady Tasting Tea spotlights not only Fisher's theories but also the revolutionary ideas of dozens of men and women which affect our modern everyday lives. Writing with verve and wit, David Salsburg traces breakthroughs ranging from the rise and fall of Karl Pearson's theories to the methods of quality control that rebuilt postwar Japan's economy, including a pivotal early study on the capacity of a small beer cask at the Guinness brewing factory. Brimming with intriguing tidbits and colorful characters, The Lady Tasting Tea salutes the spirit of those who dared to look at the world in a new way.