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.

    This book charts its growth and development by sampling from the work of some of its foremost practitioners, beginning with Isaac Newton and Gottfried Wilhelm Leibniz in the late seventeenth century and continuing to Henri Lebesgue at the dawn of the twentieth--mathematicians whose achievements are comparable to those of Bach in music or Shakespeare in literature. William Dunham lucidly presents the definitions, theorems, and proofs. Students of literature read Shakespeare; students of music listen to Bach, he writes. But this tradition of studying the major works of the masters is, if not wholly absent, certainly uncommon in mathematics. This book seeks to redress that situation.Like a great museum, The Calculus Gallery is filled with masterpieces, among which are Bernoulli's early attack upon the harmonic series (1689), Euler's brilliant approximation of pi (1779), Cauchy's classic proof of the fundamental theorem of calculus (1823), Weierstrass's mind-boggling counterexample (1872), and Baire's original category theorem (1899). Collectively, these selections document the evolution of calculus from a powerful but logically chaotic subject into one whose foundations are thorough, rigorous, and unflinching--a story of genius triumphing over some of the toughest, most subtle problems imaginable.Anyone who has studied and enjoyed calculus will discover in these pages the sheer excitement each mathematician must have felt when pushing into the unknown. In touring The Calculus Gallery, we can see how it all came to be.

    Seized: Temporal Lobe Epilepsy as a Medical. Historical. and Artistic Phenomenon published in the year 2000 was published by Author Solutions. Inc.. View 20488 more books by Author Solutions. Inc.. The author of this book is Eve LaPlante . page displaying collection of Eve LaPlante books here. This is the Paperback version of the title "Seized: Temporal Lobe Epilepsy as a Medical. Historical. and Artistic Phenomenon ". Seized: Temporal Lobe Epilepsy as a Medical. Historical. and Artistic Phenomenon is currently Available with us.

    With the stroke of a pen the Jesuit fathers banned the doctrine of infinitesimals, announcing that it could never be taught or even mentioned. The concept was deemed dangerous and subversive, a threat to the belief that the world was an orderly place, governed by a strict and unchanging set of rules. If infinitesimals were ever accepted, the Jesuits feared, the entire world would be plunged into chaos.In Infinitesimal, the award-winning historian Amir Alexander exposes the deep-seated reasons behind the rulings of the Jesuits and shows how the doctrine persisted, becoming the foundation of calculus and much of modern mathematics and technology. Indeed, not everyone agreed with the Jesuits. Philosophers, scientists, and mathematicians across Europe embraced infinitesimals as the key to scientific progress, freedom of thought, and a more tolerant society. As Alexander reveals, it wasn't long before the two camps set off on a war that pitted Europe's forces of hierarchy and order against those of pluralism and change.The story takes us from the bloody battlefields of Europe's religious wars and the English Civil War and into the lives of the greatest mathematicians and philosophers of the day, including Galileo and Isaac Newton, Cardinal Bellarmine and Thomas Hobbes, and Christopher Clavius and John Wallis. In Italy, the defeat of the infinitely small signaled an end to that land's reign as the cultural heart of Europe, and in England, the triumph of infinitesimals helped launch the island nation on a course that would make it the world's first modern state.From the imperial cities of Germany to the green hills of Surrey, from the papal palace in Rome to the halls of the Royal Society of London, Alexander demonstrates how a disagreement over a mathematical concept became a contest over the heavens and the earth. The legitimacy of popes and kings, as well as our beliefs in human liberty and progressive science, were at stake-the soul of the modern world hinged on the infinitesimal.

    Each clique of scientists has a part of the story correct, but new evidence shows they are all fundamentally wrong.On the one side, we have academics highlighting the astonishing fossil record of China with multiple sites now producing modern human fossils aged between 80 - 120 thousand years, or older. Several extremely ancient fossil finds in China, including Dali, Maba and Jinniushan, place archaic Homo sapiens in this region up to 260,000 years ago.On the other side, we have scientists pointing to Africa's impressive fossil record with its evidence of potential ancestors going back around 6 million years. The evidence of extreme genetic diversity among Africans and the discovery of 300,000-year-old archaic Homo sapiens fossils in Morocco tends to further support the idea that humans came out from Africa. We can understand why both sides are so sure of their positions, and why the debate continues. While leading academics focussed on their own agendas, they overlooked significant evidence. Between the two poles of Out of Africa and Out of Asia Theory, exists a 'Middle Way'. The Forgotten Exodus: The Into Africa Theory of Human Evolution, reveals that within the known fossil record, the current genetic studies and recent paleoclimate models there is compelling evidence for a superior theory of human origins, representing a paradigm displacement.The Into Africa Theory does not dispute the evidence placing the earliest hominins in Africa.However, it does not agree with the consensus view that Homo sapiens emerged there first and later migrated to Eurasia.The Into Africa Theory recognises the extraordinary evidence for critical stages in our development occurring in East and Southeast Asia. It is abundantly clear that as a new concerted effort to gather and evaluate fossil evidence begins in earnest we see astonishing new discoveries. The Into Africa Theorydisputes the claims of Out of Africa and Out of Asia(or Europe) adherents over the starting point for the migration which populated Eurasia approximately 60,000 years ago and identifies the actual location.Amazing facts that you will encounter:-Homo heidelbergensis was not ancestral to modern humans -Denisovan fossils in Siberia carried DNAfrom Australian Aboriginals-An Indonesian supervolcano brought about the end for multiple hominin species-Climate catastrophe locked humans in Africa from 73,000 to 59,000 years ago-There is no African fossil DNA over 10,000 years in age-While supposedly isolated, Aboriginal Australians interbred with Denisovans 44,000 years agoYou will gain access to a long-forgotten conversation involving the famous evolutionary scientists Allan Wilson and Rebecca Cann, in which they admitted that their data suggested Aboriginal Australians were ancestral to all modern humans.Learn why the appearance of the haplogroups foundational to Eurasians, L3 and CT, had to come from a population incursion rather than an in-situ mutation.Explore the cutting-edge scientific findings of 2016 and 2017 alongside a broad range of anomalies long suppressed or ignored in academic circles.The Forgotten Exodus' author Bruce R. Fenton began his journey towards a new understanding of human origins after an expedition to a mysterious megalithic complex in the Ecuadorian Amazon. The Information Systems professional and lifelong scholar of ancient cultures, found himself tracing the threads of the human story across six continents and through 6,000,000 years of history. You will come away with a unique view of humanity and a sense of excitement for revelations still set to arrive. This book reminds all of us that we have a collective ability to overcome enormous obstacles.

    Legendary celebrities like Liberace and Phyllis Diller attribute their success to reading the book. “I didn’t get my start until I was 37. It was very, very difficult for me. I had a frequently unemployed husband and a house full of kids. My first advice to anyone is to read The Magic of Believing. It changed my life. Read it and absorb the ideas that he puts forth in the book. You won’t even think of your age or the obstacles in your way; you’ll think of your dream, and how to keep focused on your dream.” - Phyllis DillerThat life-changing book started with the book you’re about to read: T.N.T.—It Rocks the Earth.As Claude Bristol’s business associate wrote: “In T.N.T.—It Rocks the Earth, you are told exactly how to acquire a wonderful secret, that Power, or whatever you wish to call it, which, when accepted and developed through a process of right thinking, creates a philosophy of life which sweeps away all obstacles and brings that which every human desires: success, happiness and contentment.Do exactly as he says, put his plan into operation—and I also promise you that almost over night you will be transformed and the things for which you have wished all your life will be yours. Your fears, trials and tribulations will fade into the mists. The door of yesterday will be closed forever. A grand and glorious feeling will engulf you and you will smile, and when you do, the world will smile with you.I know it. I believe it and it is so.“– Frank W. CampThis 1932 hard-to-find classic will rock YOUR life!

    

    This 8-hour free course introduced the study of philosophy and the methods employed by The Open University in teaching philosophy.

    His work won him the Nobel Prize in 1922 and his ideas continue to propel physics towards new discoveries. But what is quantum theory? Most of us do not understand even the basics of one of the most significant scientific advances ever made, opening up a whole new field in science, whose ambiguities still challenge scientists around the world.Bohr and Quantum Theory offers an accessible and absorbing account of the man who was both a part of The Manhattan Project but also an advocate of peace.He held the key to understanding such intricate realities as black holes and nuclear energy. Bohr's Big Idea explains complex and crucial ideas in a clear and engaging way, placing quantum theory in the context of a man's life, work and time and examining its important implications for our future.The Big Idea series is a fascinating look at the greatest advances in our scientific history, and at the men and women who made these fundamental breakthroughs.

    As tiny and inconspicuous as it may seem, That-Which-Had-Been exhibits an unexpected and varied gift for survival, as it journeys implacably toward its ultimate destination. Along the way, it meets a rich array of ordinary human beings, some of whom assist it along its way, others who impede its progress, none of whom have any idea of its existence.From whence comes the strange, but universal, experience of deja vu? Why do some people exhibit a wisdom far beyond their age and experience - persons reincarnationists refer to as 'old souls'? Joseph Wurtenbaugh in this short story offers a fascinating and tantalizingly plausible explanation for these phenomena, presented in a natural setting that brims with adventure and exhilarating possibility. Not to be missed by anyone who enjoys science fiction or thinking outside the box.

    Kennedy’s assassination has been the subject of public and cultural fascination (a film by Oliver Stone, a novel by Stephen King, endless conspiracy theories) for nearly 50 years. It’s time, this brief biography argues, to give equal consideration to Kennedy’s life.

    That explains why what many of us long for is simplicity: a life that can be more pared down, peaceful, and focused on the essentials.But finding simplicity is not always easy; it isn’t just a case of emptying out our closets or trimming back commitments in our diaries. True simplicity requires that we understand the roots of our distractions – and develop a canny respect for the stubborn reasons why things can grow complex and overwhelming.This book is a guide to the simpler lives we crave and deserve. It considers how we might achieve simplicity across a range of areas. Along the way, we learn about Zen Buddhism, modernist architecture, monasteries, psychoanalysis, and why we probably don’t need more than three good friends or a few treasured belongings.It isn’t enough that our lives should look simple; they need to be simple from the inside. This book takes a psychological approach, guiding us towards less contorted hearts and minds. We have for too long been drowning in excess and clutter from a confusion about our aspirations; A Simpler Life helps us tune out the static and focus on what properly matters to us.

    Astronomer John Barrow takes an intriguing look at the limits of science, who argues that there are things that are ultimately unknowable, undoable, or unreachable.

    The year 2000 is alternatively the year 2544 (Buddhist), 6236 (Ancient Egyptian), 5761 (Jewish) or simply the Year of the Dragon (Chinese). The story of the creation of the Western calendar, which is related in this book, is a story of emperors and popes, mathematicians and monks, and the growth of scientific calculation to the point where, bizarrely, our measurement of time by atomic pulses is now more accurate than time itself: the Earth is an elderly lady and slightly eccentric - she loses half a second a century. Days have been invented (Julius Caesar needed an extra 80 days in 46BC), lost (Pope Gregory XIII ditched ten days in 1582) and moved (because Julius Caesar had 31 in his month, Augustus determined that he should have the same, so he pinched one from February).

    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!