Originating separately in both ancient Greece and India, the concept of the atom persisted for centuries, despite often running afoul of conventional thinking. Until the twentieth century, no direct evidence for atoms existed. Today it is possible to actually observe atoms using a scanning tunneling microscope. The book begins with the story of the earliest atomists - the ancient Greek philosophers Leucippus, Democritus, and Epicurus, and the Latin poet Lucretius. As the author notes, the idea of elementary particles as the foundation of reality had many opponents throughout history - from Aristotle to Christian theologians and even some nineteenth-century chemists and philosophers. While theists today accept that the evidence for the atomic theory of matter is overwhelming, they reject the atheistic implications of that theory.

    And yet for many years it was equally baffling for scientists themselves. Manjit Kumar gives a dramatic and superbly-written history of this fundamental scientific revolution, and the divisive debate at its heart.For 60 years most physicists believed that quantum theory denied the very existence of reality itself. Yet Kumar shows how the golden age of physics ignited the greatest intellectual debate of the twentieth century.Quantum sets the science in the context of the great upheavals of the modern age. In 1925 the quantum pioneers nearly all hailed from upper-middle-class academic families; most were German; and their average age was 24. But it was their irrational, romantic spirit, formed in reaction to the mechanised slaughter of the First World War that inspired their will to test science to its limits.The essential read for anyone fascinated by this complex and thrilling story and by the band of young men at its heart.

    In this heartfelt and passionate book, Frenkel shows that mathematics, far from occupying a specialist niche, goes to the heart of all matter, uniting us across cultures, time, and space.Love and Math tells two intertwined stories: of the wonders of mathematics and of one young man’s journey learning and living it. Having braved a discriminatory educational system to become one of the twenty-first century’s leading mathematicians, Frenkel now works on one of the biggest ideas to come out of math in the last 50 years: the Langlands Program. Considered by many to be a Grand Unified Theory of mathematics, the Langlands Program enables researchers to translate findings from one field to another so that they can solve problems, such as Fermat’s last theorem, that had seemed intractable before.At its core, Love and Math is a story about accessing a new way of thinking, which can enrich our lives and empower us to better understand the world and our place in it. It is an invitation to discover the magic hidden universe of mathematics.

    New 'Consolidation' sections and questions designed to provide a link between GCSE and A-level feature in the text.At the end of each section there are many questions - ideal for consolidation and revision - mainly from past A-level examination papers. Over 15 of these past-paper questions have been added in the Fourth Edition. Answers are included.

    There, at its center, the fusion of 620 million tons of hydrogen every second generates an unfathomable amount of energy. By replicating even a tiny piece of the Sun’s power on Earth, we can secure all the heat and energy we would ever need.Nuclear fusion scientists have pursued this simple yet extraordinary ambition for decades. Skeptics say it will never work but, as A Piece of the Sun makes clear, large-scale nuclear fusion is scientifically possible—and has many advantages over other options. Fusion is clean, green and virtually limitless and Clery argues passionately and eloquently that the only thing keeping us from proving its worth is our politicians’ shortsightedness. The world energy industry is worth trillions of dollars, divert just a tiny fraction of that into researching fusion and we would soon know if it is workable.Timely and authoritative, A Piece of the Sun is a rousing call-to-arms to seize this chance of avoiding the looming energy crisis.

    Pays special attention to such topics of modern interest as nonlinear oscillators, central force motion, collisions in CMCS, and horizontal wind circulation. For physicists and astronomers.

    The text takes a unified approach to the subject, aiming to help the reader develop a real overview of chemical processes, byavoiding the traditional divisions of physical, inorganic and organic chemistry.To understand how chemical reactions happen we need to know about the bonding in molecules, how molecules interact, what determines whether an interaction is favorable or not, and what the outcome will be. Answering these questions requires an understanding of topics from quantum mechanics, throughthermodynamics, to curly arrows. In this book all of these topics are presented in a coherent and coordinated fashion, showing how each leads to a deeper understanding of chemical reactions.

    We are not alone, nor have we been creating life experiences on our own. There is a co-creative Universal Intelligence who is very much involved and continually seeking a dialogue. The problem is not so much the life challenges, but our own individual lack of communication with our co-creator. A conversation is happening all of the time, but we must open our eyes and ears to it. When we do, an opportunity to reconnect with the lighter side of life ensues. We do not have to get wrapped up in the heaviness. Instead of becoming overwhelmed by the issues at hand, we can become aware of the answers and solutions constantly presenting themselves. The Universe wants us to be joyful, have fun, and let go. The synchronicities, symbols, and messages are always intended to guide us. They are there to make us smile, to stop to remember there is more to life than the current object of our perceptions. Instead of having to work things out, we can play them out, yielding more aligned outcomes and a greater experience. When we are able to remember the vast connection that exists, the illusions we live become more and more apparent. Greater awareness of the messages and engagement in the dialogue allows us to laugh with the heavens at ourselves at life and our seriousness.

    Its broad appeal lies in its interactive environment with hundreds of built-in functions for technical computation, graphics, and animation. In addition, it provides easy extensibility with its own high-level programming language. Enhanced by fun and appealing illustrations, Getting Started with MATLAB 7: A Quick Introduction for Scientists and Engineers employs a casual, accessible writing style that shows users how to enjoy using MATLAB.

    But when Feynman said he didn’t understand quantum mechanics, he didn’t mean that he couldn’t do it – he meant that’s all he could do. He didn’t understand what the maths was saying: what quantum mechanics tells us about reality.Over the past decade or so, the enigma of quantum mechanics has come into sharper focus. We now realise that quantum mechanics is less about particles and waves, uncertainty and fuzziness, than a theory about information: about what can be known and how.This is more disturbing than our bad habit of describing the quantum world as ‘things behaving weirdly’ suggests. It calls into question the meanings and limits of space and time, cause and effect, and knowledge itself.The quantum world isn’t a different world: it is our world, and if anything deserves to be called ‘weird’, it’s us. This exhilarating book is about what quantum maths really means – and what it doesn’t mean.

    

    Frizzle were a physics student of Stephen Hawking, she might have written THE UNIVERSE IN YOUR HAND, a wild tour through the reaches of time and space, from the interior of a proton to the Big Bang to the rough suburbs of a black hole. It's friendly, excitable, erudite, and cosmic."—Jordan Ellenberg, New York Times besteselling author of How Not To Be WrongQuantum physics, black holes, string theory, the Big Bang, dark matter, dark energy, parallel universes: even if we are interested in these fundamental concepts of our world, their language is the language of math. Which means that despite our best intentions of finally grasping, say, Einstein's Theory of General Relativity, most of us are quickly brought up short by a snarl of nasty equations or an incomprehensible graph.Christophe Galfard's mission in life is to spread modern scientific ideas to the general public in entertaining ways. Using his considerable skills as a brilliant theoretical physicist and successful young adult author, The Universe in Your Hand employs the immediacy of simple, direct language to show us, not explain to us, the theories that underpin everything we know about our universe. To understand what happens to a dying star, we are asked to picture ourselves floating in space in front of it. To get acquainted with the quantum world, we are shrunk to the size of an atom and then taken on a journey. Employing everyday similes and metaphors, addressing the reader directly, and writing stories rather than equations renders these astoundingly complex ideas in an immediate and visceral way.Utterly captivating and entirely unique, The Universe in Your Hand will find its place among other classics in the field.

    Like you, the elements have lives: personalities and attitudes, talents and shortcomings, stories rich with meaning. You may think of them as the inscrutable letters of the periodic table but you know them much better than you realise. Welcome to a dazzling tour through history and literature, science and art. Here you'll meet iron that rains from the heavens and noble gases that light the way to vice. You'll learn how lead can tell your future while zinc may one day line your coffin. You'll discover what connects the bones in your body with the Whitehouse in Washington, the glow of a streetlamp with the salt on your dinner table. From ancient civilisations to contemporary culture, from the oxygen of publicity to the phosphorus in your pee, the elements are near and far and all around us. Unlocking their astonishing secrets and colourful pasts, Periodic Tales will take you on a voyage of wonder and discovery, excitement and novelty, beauty and truth. Along the way, you'll find that their stories are our stories, and their lives are inextricable from our own.

    The "love" in the title of this book has a double meaning, referring not only to young Albert's exhilarating infatuation with his discoveries of the vistas of a new physics in general relativity, but also his ecstatic, cerebral, and tormented relationship with his first wife, Mileva Maric. While Mileva has always been a controversial figure in the Einstein legend - some commentators have gone as awarding her equal credit for the discovery of relativity - no book has treated her as fully and as sympathetically as Overbye's. The Einsteins were the first modern couple, and for the nearly twenty years of their marriage they were as often colleagues as they were emotional adversaries.Drawing upon hundreds of Einstein's published and unpublished letters, Overbey presents the greatest of scientific romances in a vivid new light, told with novelistic detail and narrative drive. The story of young Einstein is the story of the young man who actually did the revolutionary work that made the old man famous, a young man whose demanor is more that of James Dean than AlbertSchweitzer, a teenager in love, a draftdodger, bohemian, poet, violinist, and whirlwind who left personal, political, and professional chaos in his wake.Einstein in Love bring that man to life as never before, as well as a large cast of the greatest scientific minds in Europe, as told by one of today's most respected science journalists.

    This user-friendly self-study guide is aimed at the general reader who is motivated to tackle that not insignificant challenge. The book is written using straightforward and accessible language, with clear derivations and explanations as well as numerous fully solved problems. For those with minimal mathematical background, the first chapter provides a crash course in foundation mathematics. The reader is then taken gently by the hand and guided through a wide range of fundamental topics, including Newtonian mechanics; the Lorentz transformations; tensor calculus; the Einstein field equations; the Schwarzschild solution (which gives a good approximation of the spacetime of our Solar System); simple black holes and relativistic cosmology. Following the historic 2015 LIGO (Laser Interferometer Gravitational-Wave Observatory) detection, there is now an additional chapter on gravitational waves, ripples in the fabric of spacetime that potentially provide a revolutionary new way to study the universe. Special relativity helps explain a huge range of non-gravitational physical phenomena and has some strangely counter-intuitive consequences. These include time dilation, length contraction, the relativity of simultaneity, mass-energy equivalence and an absolute speed limit. General relativity, the leading theory of gravity, is at the heart of our understanding of cosmology and black holes.Understand even the basics of Einstein's amazing theory and the world will never seem the same again. ContentsPrefaceIntroduction1 Foundation mathematics2 Newtonian mechanics3 Special relativity4 Introducing the manifold5 Scalars, vectors, one-forms and tensors6 More on curvature7 General relativity8 The Newtonian limit9 The Schwarzschild metric10 Schwarzschild black holes11 Cosmology12 Gravitational wavesAppendix: The Riemann curvature tensorBibliographyAcknowledgementsJanuary 2019. This third edition has been revised to make the material even more accessible to the enthusiastic general reader who seeks to understand the mathematics of relativity.