A fun and fascinating look at great scientific paradoxes.   Throughout history, scientists have come up with theories and ideas that just don't seem to make sense.  These we call paradoxes.  The paradoxes Al-Khalili offers are drawn chiefly from physics and astronomy and represent those that have stumped some of the finest minds.  For example, how can a cat be both dead and alive at the same time?  Why will Achilles never beat a tortoise in a race, no matter how fast he runs?  And how can a person be ten years older than his twin?   With elegant explanations that bring the reader inside the mind of those who've developed them, Al-Khalili helps us to see that, in fact, paradoxes can be solved if seen from the right angle.  Just as surely as Al-Khalili narrates the enduring fascination of these classic paradoxes, he reveals their underlying logic.  In doing so, he brings to life a select group of the most exciting concepts in human knowledge.  Paradox is mind-expanding fun.

    In this guide for students, each equation is the subject of an entire chapter, with detailed, plain-language explanations of the physical meaning of each symbol in the equation, for both the integral and differential forms. The final chapter shows how Maxwell's equations may be combined to produce the wave equation, the basis for the electromagnetic theory of light. This book is a wonderful resource for undergraduate and graduate courses in electromagnetism and electromagnetics. A website hosted by the author at www.cambridge.org/9780521701471 contains interactive solutions to every problem in the text as well as audio podcasts to walk students through each chapter.

    The black mass crashed through the local school. 144 people were killed. 116 were schoolchildren. Gaynor Madgwick was there. She was eight and severely injured. In this book, Gaynor tells her own story and interviews people affected by the day's events. "Gaynor Madgwick was pulled injured from one of the classrooms where her friends died. She was left behind to live out her life. This is her story, sad, sweet, sentimental, and authentic. I commend it to you." - Vincent Kane, Broadcaster "Gaynor Madgwick's sense of injustice is palpable in her clear, riveting account of this scandal and its human cost. Despite everything, however, she is not bitter and retains the quiet dignity that is, perhaps, the true and lasting legacy of Aberfan." - Frank Olding, Planet Magazine "Madgwick does not dwell too much on the politics of Aberfan, and this is left largely to an incisive introduction by the veteran broadcaster, Vincent Kane, who leaves us in no doubt where the responsibility lay for the disaster. Thankfully Madgwick has now found happiness after a troubled life, having had to live with the guilt of the survivor for all her life. And writing so sensitively has helped her to come to terms with what happened in 1966. This is certainly not an easy book to read, but as noted by Lord Snowdon, it should and must be read by all of us in memory of those who died, whilst not forgetting those who also survived this tragic event." - Richard E. Huws, Gwales

    An attractive and comprehensive guidebook, this work has been completely revised and updated by the author. The reader will find an easy-to-use text which details the natural history of the plants and animals found in the Galápagos Islands. Management and conservation of the Galápagos National Park is discussed, and visitor information and notes about the various tourist sites are given. An index and checklist of plants and animals with page references and a glossary of technical terms are provided. New photographs have been added.

    The exposition is simple and leads to the most complete direct means of solving problems in mechanics. The final sections on adiabatic invariants have been revised and augmented. In addition a short biography of L D Landau has been inserted.

    W. R. Dedekind. The first presents Dedekind's theory of the irrational number-the Dedekind cut idea-perhaps the most famous of several such theories created in the 19th century to give a precise meaning to irrational numbers, which had been used on an intuitive basis since Greek times. This paper provided a purely arithmetic and perfectly rigorous foundation for the irrational numbers and thereby a rigorous meaning of continuity in analysis.The second essay is an attempt to give a logical basis for transfinite numbers and properties of the natural numbers. It examines the notion of natural numbers, the distinction between finite and transfinite (infinite) whole numbers, and the logical validity of the type of proof called mathematical or complete induction.The contents of these essays belong to the foundations of mathematics and will be welcomed by those who are prepared to look into the somewhat subtle meanings of the elements of our number system. As a major work of an important mathematician, the book deserves a place in the personal library of every practicing mathematician and every teacher and historian of mathematics. Authorized translations by "Vooster " V. Beman.

    The book s two-part coverage organizes topics under basic theory, and assembles an arsenal of approximation schemes with illustrative applications. For physicists and engineers. "

    Plethora of Solved examples help the students know the variety of problems & Procedure to solve them. Plenty of practice problems facilitate testing their understanding of the subject. Key Features: Covers the syllabus of all the four papers of Engineering Mathematics Detailed coverage of topics with lot of solved examples rendering clear understanding to the students. Engineering Applications of Integral Calculus, Ordinary Differential Equations of First and Higher Order, & Partial Differential Equations illustrate the use of these methods. Chapters on preliminary topics like Analytical Solid Geometry Matrices and Determinants Sequence and Series Complex Numbers Vector Algebra Differential and Integral Calculus Extensive coverage of Probability and Statistics (5 chapters). Covers the syllabus of all the four papers of Engineering Mathematics Engineering Applications of Integral Calculus, Ordinary Differential Equations of First and Higher Order, & Partial Differential Equations illustrate the use of these methods. Extensive coverage of ?Probability and Statistics (5 chapters) Table of Content: PART I PRELIMI NARIES Chapter 1 Vector Algebra , Theory of Equations ,Complex Numbers PART II DIFFERENTIAL AND INTEGRAL CALCULUS

    According to theorists, the missing six are curled up in bizarre structures known as Calabi-Yau manifolds. In The Shape of Inner Space, Shing-Tung Yau, the man who mathematically proved that these manifolds exist, argues that not only is geometry fundamental to string theory, it is also fundamental to the very nature of our universe.Time and again, where Yau has gone, physics has followed. Now for the first time, readers will follow Yau’s penetrating thinking on where we’ve been, and where mathematics will take us next. A fascinating exploration of a world we are only just beginning to grasp, The Shape of Inner Space will change the way we consider the universe on both its grandest and smallest scales.

    The "Capcom 30th Anniversary Character Encyclopedia" celebrates Capcom's 30 years in the industry and gives fans concise information about every major Capcom character, their key artwork, statistics, background information, and interesting notes on the history of each character and game franchise. Including almost 200 characters from the Capcom family, this "Character Encyclopedia" sheds new light on these characters in a way nothing else does!

    If you like fun, adventure, and interesting tech, you’ll be sure to love something within this collection. Comprising three full length novels, and two novellas, these stories will keep you entertained for many hours. Warning: Readers might not want to come back to the real world after adventuring through these stories. Hollow Space: Venture Forced to hyperjump during a brutal ambush, Sara Lorelle, navigator of the the last human colony ship, discovers they’ve jumped to somewhere that shouldn’t exist. Trapped inside a pocket universe known only as Hollow Space, where technology inexplicably fails, Sara and her crew have to face the lethal politics of their only destination: Haven—a decrepit space station, home to hostile aliens and rival factions that soon sees the Venture crew up to their necks in trouble. With their only hope placed in Tairon Cauder, a reckless scoundrel, they will battle impossible species, confront their fears, and uncover ancient and terrible secrets. In a place where those who shoot first live the longest, the Venture crew will have to push their limits if they are to save themselves and the human race from extinction. Hollow Space: Shadowkill Kina wants to be an assassin—to join the mysterious Wraiths and secure her future on the space station of Haven. A place where it’s kill or be killed and career options are limited. But Haven is not your granddad’s space station. It’s rotten to the core and every scumbag is out for one thing only: themselves. With just her two daggers for protection, Kina is thrown into the darkness to confront a pack of bounty hunters eager to end her ambitions—and life. Code Breakers: Alpha In a post-apocalyptic future, humanity survives within a single domed city run by a shadowy benefactor known only as The Family. Each week the death lottery claims more lives and Gerry Cardle, head of the lottery, inexplicably finds himself the next on the list. Something's wrong with the system. A deadly artificial intelligence has breached security. Gerry has just 7 days to live. Forced off the grid, Gerry has to do the unthinkable: willingly leave the city. What he finds in the abandoned lands will shatter his perception of what it means to be human. Everything he had been told before was a lie. Code Breakers: Beta The fanatical Red Widows sweep destruction across the abandoned lands. Their aggression threatens to destroy the city Gerry had risked his life to save. Petal, the woman Gerry has come to love is dying. The despotic cabal, The Family, demand he brings her to them, but she's missing, running from the Widows, searching for the truth of her origins before it's too late. When their paths cross, Petal and Gerry will hold the fate of humankind in their hands—if they can survive the malevolent digital entity that stalks them from the shadows. The Daedalus Code When agents Phaedra and Aegeus of New Crete's Intelligent Data Enforcement Agency are tasked to find five missing Artificial Intelligence students, their single lead takes them to a notorious hacker known as 'The Cretian.' With his help, they uncover a terrible truth: Ariadne, one of the students, is involved with a rogue AI program called The Daedalus Project. The AI is out of control, people are going missing, and a great swathe of the world’s data is being secured within its digital labyrinth.

    A dark plan, put into place centuries ago, has come to fruition. Consider Battle Hymn your wake-up call...Painstakingly researched through hundreds of sources and interviews, Battle Hymn rips the cover off the invisible government that controls our leaders and soon, our very lives. Composed of just a few hundred powerful but unelected people, this elite cadre seeks to create a one-world government to complete its already advanced globalist plans to end the sovereignity of all nations--including the United States. Its ultimate goal is complete control through a New-World Order where a socialist dictatorship ensures that every citizen is tagged, mollified and productive.

    Each chapter contains integrated worked examples and chapter tests. This edition has the ancillary ATLAST computer exercise guide and new MATLAB and Maple guides.

    It is proof that, 'if you go looking for trouble, you'll probably find it'. Over nearly 40 years as a journalist and foreign correspondent, Hugh Riminton has been shot at, blown up, threatened with deportation and thrown in jail. He has reported from nearly 50 countries, witnessed massacres in Africa, wars and conflicts on four continents, and every kind of natural disaster. It has been an extraordinary life. From a small-town teenager with a drinking problem, cleaning rat cages for a living, to a multi-award-winning international journalist reporting to an audience of 300 million people, Hugh has been a frontline witness to our times. From genocide in Africa to the Indian Ocean tsunami, from wars in Iraq and Afghanistan, to slave-trading in Sudan, Hugh has seen the best and worst of human behaviour. In Australia, he has covered political dramas, witnessed the Port Arthur Massacre and the Thredbo disaster and broke a major national scandal. His work helped force half-a-dozen government inquiries.Entertaining, deeply personal and quietly wise, MINEFIELDS is a compelling exploration of a foreign correspondent's life. 'His story is a triumph' SYDNEY MORNING HERALD

    Our Big Bang, our distant future, parallel worlds, the sub-atomic and intergalactic - none of them are what they seem. But there is a way to understand this immense strangeness - mathematics. Seeking an answer to the fundamental puzzle of why our universe seems so mathematical, Tegmark proposes a radical idea: that our physical world not only is described by mathematics, but that it is mathematics. This may offer answers to our deepest questions: How large is reality? What is everything made of? Why is our universe the way it is?Table of ContentsPreface 1 What Is Reality? Not What It Seems • What’s the Ultimate Question? • The Journey Begins Part One: Zooming Out 2 Our Place in Space Cosmic Questions • How Big Is Space? • The Size of Earth • Distance to the Moon • Distance to the Sun and the Planets • Distance to the Stars • Distance to the Galaxies • What Is Space? 3 Our Place in TimeWhere Did Our Solar System Come From? • Where Did theGalaxies Come From? • Where Did the Mysterious MicrowavesCome From? • Where Did the Atoms Come From? 4 Our Universe by NumbersWanted: Precision Cosmology • Precision Microwave-Background Fluctuations • Precision Galaxy Clustering • The Ultimate Map of Our Universe • Where Did Our Big Bang Come From? 5 Our Cosmic Origins What’s Wrong with Our Big Bang? • How Inflation Works • The Gift That Keeps on Giving • Eternal Inflation 6 Welcome to the Multiverse The Level I Multiverse • The Level II Multiverse • Multiverse Halftime Roundup Part Two: Zooming In 7 Cosmic Legos Atomic Legos • Nuclear Legos • Particle-Physics Legos • Mathematical Legos • Photon Legos • Above the Law? • Quanta and Rainbows • Making Waves • Quantum Weirdness • The Collapse of Consensus • The Weirdness Can’t Be Confined • Quantum Confusion 8 The Level III Multiverse The Level III Multiverse • The Illusion of Randomness • Quantum Censorship • The Joys of Getting Scooped • Why Your Brain Isn’t a Quantum Computer • Subject, Object and Environment • Quantum Suicide • Quantum Immortality? • Multiverses Unified • Shifting Views: Many Worlds or Many Words? Part Three: Stepping Back 9 Internal Reality, External Reality and Consensus Reality External Reality and Internal Reality • The Truth, the Whole Truth and Nothing but the Truth • Consensus Reality • Physics: Linking External to Consensus Reality 10 Physical Reality and Mathematical Reality Math, Math Everywhere! • The Mathematical Universe Hypothesis • What Is a Mathematical Structure? 11 Is Time an Illusion? How Can Physical Reality Be Mathematical? • What Are You? • Where Are You? (And What Do You Perceive?) • When Are You? 12 The Level IV Multiverse Why I Believe in the Level IV Multiverse • Exploring the Level IV Multiverse: What’s Out There? • Implications of the Level IV Multiverse • Are We Living in a Simulation? • Relation Between the MUH, the Level IV Multiverse and Other Hypotheses •Testing the Level IV Multiverse 13 Life, Our Universe and Everything How Big Is Our Physical Reality? • The Future of Physics • The Future of Our Universe—How Will It End? • The Future of Life •The Future of You—Are You Insignificant? Acknowledgments Suggestions for Further Reading Index