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.

    Turing’s openness about his homosexuality at a time when it was an imprisonable offense ultimately led to his untimely lo death at the age of only forty-one. In Alan Turing: Unlocking the Enigma, David Boyle reveals the mysteries behind the man and his remarkable career. Aged just 22, Turing was elected a fellow at King's College, Cambridge on the strength of a dissertation in which he proved the central limit theorem. By the age of 33, he had been awarded the OBE by King George VI for his wartime services: Turing was instrumental in cracking the Nazi Enigma machines at the top secret code breaking establishment at Bletchley Park during the Second World War.But his achievements were to be tragically overshadowed by the paranoia of the post-War years. Hounded for his supposedly subversive views and for his sexuality, Turing was prosecuted in 1952, and forced to accept the humiliation of hormone treatment to avoid a prison sentence. Just two years later, at the age of 41 he was dead. The verdict: cyanide poisoning.Was Turing’s death accidental as his mother always claimed? Or did persistent persecution drive him to take him own life?Alan Turing: Unlocking the Enigma seeks to find the man behind the science, illuminating the life of a person who is still a shadowy presence behind his brilliant achievements.

    In Me, Myself, and Why, Jennifer Ouellette dives into the miniscule ranges of variation to understand just what sets us apart. She draws on cutting-edge research in genetics, neuroscience, and psychology-enlivened as always with her signature sense of humor-to explore the mysteries of human identity and behavior. Readers follow her own surprising journey of self-discovery as she has her genome sequenced, her brain mapped, her personality typed, and even samples a popular hallucinogen. Bringing together everything from Mendel's famous pea plant experiments and mutations in The X-Men to our taste for cilantro and our relationships with virtual avatars, Ouellette takes us on an endlessly thrilling and illuminating trip into the science of ourselves

    David A Kessler has studied this question with regard to tobacco, food, and drugs. Over the course of these investigations, he identified one underlying mechanism common to a broad range of human suffering. This phenomenon—capture—is the process by which our attention is hijacked and our brains commandeered by forces outside our control.In Capture, Dr. Kessler considers some of the most profound questions we face as human beings: What are the origins of mental afflictions, from everyday unhappiness to addiction and depression—and how are they connected? Where does healing and transcendence fit into this realm of emotional experience?Analyzing an array of insights from psychology, medicine, neuroscience, literature, philosophy, and theology, Dr. Kessler deconstructs centuries of thinking, examining the central role of capture in mental illness and questioning traditional labels that have obscured our understanding of it. With a new basis for understanding the phenomenon of capture, he explores the concept through the emotionally resonant stories of both well-known and un-known people caught in its throes.The closer we can come to fully comprehending the nature of capture, Dr. Kessler argues, the better the chance to alleviate its deleterious effects and successfully change our thoughts and behavior Ultimately, Capture offers insight into how we form thoughts and emotions, manage trauma, and heal. For the first time, we can begin to understand the underpinnings of not only mental illness, but also our everyday worries and anxieties. Capture is an intimate and critical exploration of the most enduring human mystery of all: the mind.

    But a dispute over its discovery sowed the seeds of discontent between two of the greatest scientific giants of all time - Sir Isaac Newton and Gottfried Wilhelm Leibniz." "Today Newton and Leibniz are generally considered the twin independent inventors of calculus. They are both credited with giving mathematics its greatest push forward since the time of the Greeks. Had they known each other under different circumstances, they might have been friends. But in their own lifetimes, the joint glory of calculus was not enough for either and each declared war against the other, openly and in secret." This long and bitter dispute has been swept under the carpet by historians - perhaps because it reveals Newton and Leibniz in their worst light - but The Calculus Wars tells the full story in narrative form for the first time. This history ultimately exposes how these twin mathematical giants were brilliant, proud, at times mad, and in the end completely human.

    From manhole covers to bubbles to subway maps, each page gives you a glimpse of the world through renowned mathematicians' eyes and reveals how their theorems and equations can be applied to nearly everything you encounter. Covering dozens of your favorite math topics, you'll find fascinating answers to questions like:How are the waiting times for buses determined?Why is Romanesco Broccoli so mesmerizing?How do you divide a cake evenly?Should you run or walk to avoid rain showers?Filled with compelling mathematical explanations, Math Geek sheds light on the incredible world of numbers hidden deep within your day-to-day life.

    Hungarian-born Erdős believed that the meaning of life was to prove and conjecture. His work in the United States and all over the world has earned him the titles of the century's leading number theorist and the most prolific mathematician who ever lived. Erdős's important work has proved pivotal to the development of computer science, and his unique personality makes him an unforgettable character in the world of mathematics. Incapable of the smallest of household tasks and having no permanent home or job, he was sustained by the generosity of colleagues and by his own belief in the beauty of numbers. Witty and filled with the sort of mathematical puzzles that intrigued Erdős and continue to fascinate mathematicians today, My Brain Is Open is the story of this strange genius and a journey in his footsteps through the world of mathematics, where universal truths await discovery like hidden treasures and where brilliant proofs are poetry.

    Erno Rubik inspires us with what he’s learned in a lifetime of creating, curiosity, and discovery.Erno Rubik was a child when he first became obsessed with puzzles of all kinds. “Puzzles,” he writes, “bring out important qualities in each of us: concentration, curiosity, a sense of play, the eagerness to discover a solution.” To Rubik puzzles aren’t just games—they’re creativity machines. He encourages us to embrace our inner curiosity and find the puzzles that surround us in our everyday lives. “If you are determined, you will solve them,” he writes. Rubik’s own puzzle, the Cube, went on to be solved by millions worldwide for over forty years, become one of the bestselling toys of all time, and to be featured as a global symbol of intelligence and ingenuity.In Cubed, Rubik covers more than just his journey to inventing his eponymous cube. He makes a case for always being an amateur—something he has always considered himself to be. He discusses the inevitability of problems during any act of invention. He reveals what it was like to experience the astonishing worldwide success of an object he made purely for his own play. And he offers what he thinks it means to be a true creator (hint: anyone can do it). Steeped in the wisdom and also the humility of a born inventor, Cubed offers a unique look at the imperfect science of creation.

    The objective here is to explain science in a simple, attractive and fun form that is open to all.The first axiom of this approach was set out as follows: “We believe in the magic of science. We hope to show you that sci-ence is not a secret art, accessible only to a dedicated few. It involves learning about nature and society, and aspects of our existence which affect us all, and which we should all therefore have the chance to understand. We shall interpret science for those who might not speak its language fluently, but want to understand its meaning. We don’t teach, we just tell stories about the beginnings of science, the natural phenomena and the underlying principles through which they occur, and the lives of the people who discovered them.”The aim of the writings collected in this series is to present some key scientific events, ideas and personalities in the form of short stories that are easy and fun to read. Scientific and philo-sophical concepts are explained in a way that anyone may under-stand. Each story may be read separately, but at the same time they all band together to form a wide-ranging introduction to the history of science and areas of contemporary scientific research, as well as some of the recurring problems science has encountered in history and the philosophical dilemmas it raises today.Review“If I were the only survivor on a remote island and all I had with me were this book, a Swiss army knife and a bottle, I would throw the bottle into the sea with the note: ‘Don’t worry, I have everything I need.’”— Ciril Horjak, alias Dr. Horowitz, a comic artist“The writing is understandable, but never simplistic. Instructive, but never patronizing. Straightforward, but never trivial. In-depth, but never too intense.”— Ali Žerdin, editor at Delo, the main Slovenian newspaper“Does science think? Heidegger once answered this question with a decisive No. The writings on modern science skillfully penned by Sašo Dolenc, these small stories about big stories, quickly convince us that the contrary is true. Not only does science think in hundreds of unexpected ways, its intellectual challenges and insights are an inexhaustible source of inspiration and entertainment. The clarity of thought and the lucidity of its style make this book accessible to anyone … in the finest tradition of popularizing science, its achievements, dilemmas and predicaments.”— Mladen Dolar, philosopher and author of A Voice and Nothing More“Sašo Dolenc is undoubtedly one of our most successful authors in the field of popular science, possessing the ability to explain complex scientific achievements to a broader audience in a clear and captivating way while remaining precise and scientific. His collection of articles is of particular importance because it encompasses all areas of modern science in an unassuming, almost light-hearted manner.”— Boštjan Žekš, physicist and former president of the Slovenian Academy of Sciences and Arts

    Now, physicist Leonard Susskind has teamed up with data engineer Art Friedman to present the theory and associated mathematics of the strange world of quantum mechanics.In this follow-up to The Theoretical Minimum, Susskind and Friedman provide a lively introduction to this famously difficult field, which attempts to understand the behavior of sub-atomic objects through mathematical abstractions. Unlike other popularizations that shy away from quantum mechanics’ weirdness, Quantum Mechanics embraces the utter strangeness of quantum logic. The authors offer crystal-clear explanations of the principles of quantum states, uncertainty and time dependence, entanglement, and particle and wave states, among other topics, and each chapter includes exercises to ensure mastery of each area. Like The Theoretical Minimum, this volume runs parallel to Susskind’s eponymous Stanford University-hosted continuing education course.An approachable yet rigorous introduction to a famously difficult topic, Quantum Mechanics provides a tool kit for amateur scientists to learn physics at their own pace.

    The book has an exclusive interview and photographs of Ariel Castro's secret fiancé, who spent many romantic nights in his house of horror, without realizing he had bound and chained captives just a few feet away. There are also revealing interviews with several Castro family members, musician friends and several neighbors who witnessed the dramatic rescue.

    It was "the perfect storm"--a tempest that may happen only once in a century--a nor'easter created by so rare a combination of factors that it could not possibly have been worse. Creating waves ten stories high and winds of 120 miles an hour, the storm whipped the sea to inconceivable levels few people on Earth have ever witnessed. Few, except the six-man crew of the Andrea Gail, a commercial fishing boat tragically headed towards its hellish center.

    His illuminating explanation is addressed to the person who wants to understand the place of mathematics in modern civilization but who has been intimidated by its supposed difficulty. Mathematics is the language of size, shape, and order—a language Hogben shows one can both master and enjoy.

    From miraculous pregnancies to dirty protests, and from violent attacks on prisoners to heartbreaking acts of self-harm, she has witnessed it all. In this memoir, Amanda reveals the stories, the patients and the cases that have shaped a career helping those most of us would rather forget.

    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.