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Math & Science
In writing his Self-Portrait of Black America, anthropologist, folklorist, and humanist John Gwaltney went in search of Core Black People--the ordinary men and women who make up black America--and asked them to define their culture. Their responses, recorded in Drylongso, are to American oral history what blues and jazz are to American music. If the people in William H. Johnson's and Jacob Lawrence's paintings could talk, this is what they would say.
Written in clear, simple language and aimed at a lay audience, this book also offers some strategies that will allow readers to try their ability at solving truly fascinating mathematical problems. Infinity is a deeply counter-intuitive concept that has inspired many great thinkers. In this book we will meet many sages, both familiar and unfamiliar: Zeno and Pythagoras, Georg Cantor and Bertrand Russell, Sofia Kovalevskaya and Emmy Noether, al-Khwarizmi and Euclid, Sophie Germain and Srinivasa Ramanujan.The world of infinity is inhabited by many paradoxes, and so is this book: Zeno paradoxes, Hilbert's Infinity Hotel, Achilles and the gods paradox, the paradox of heaven and hell, the Ross-Littlewood paradox involving tennis balls, the Galileo paradox and many more.
Aimed at the curious but non-technical reader, this book refrains from using any fearsome mathematical symbols. It uses only the most basic operations of mathematics: adding, subtracting, multiplication, division, powers and roots - that is all. But that doesn't mean that a bit of deep thinking won't be necessary and rewarding. Writing with humour and lightness of touch, Haim Shapira banishes the chalky pallor of the schoolroom and offers instead a truly thrilling intellectual journey.
Fasten your seatbelt - we are going to Infinity, and beyond!
New perspectives on the iconic physicist's scientific and philosophical formation
At the end of World War II, Albert Einstein was invited to write his intellectual autobiography for the Library of Living Philosophers. The resulting book was his uniquely personal Autobiographical Notes, a classic work in the history of science that explains the development of his ideas with unmatched warmth and clarity. Hanoch Gutfreund and Jürgen Renn introduce Einstein's scientific reflections to today's readers, tracing his intellectual formation from childhood to old age and offering a compelling portrait of the making of a philosopher-scientist. Einstein on Einstein features the full English text of Autobiographical Notes along with incisive essays that place Einstein's reflections in the context of the different stages of his scientific life. Gutfreund and Renn draw on Einstein's writings, personal correspondence, and critical writings by Einstein's contemporaries to provide new perspectives on his greatest discoveries. Also included are Einstein's responses to his critics, which shed additional light on his scientific and philosophical worldview. Gutfreund and Renn quote extensively from Einstein's initial, unpublished attempts to formulate his response, and also look at another brief autobiographical text by Einstein, written a few weeks before his death, which is published here for the first time in English. Complete with evocative drawings by artist Laurent Taudin, Einstein on Einstein illuminates the iconic physicist's journey to general relativity while situating his revolutionary ideas alongside other astonishing scientific breakthroughs of the twentieth century.
The most famous scientist of the twentieth century, Albert Einstein was also one of the century's most outspoken political activists. Deeply engaged with the events of his tumultuous times, from the two world wars and the Holocaust, to the atomic bomb and the Cold War, to the effort to establish a Jewish homeland, Einstein was a remarkably prolific political writer, someone who took courageous and often unpopular stands against nationalism, militarism, anti-Semitism, racism, and McCarthyism. In Einstein on Politics, leading Einstein scholars David Rowe and Robert Schulmann gather Einstein's most important public and private political writings and put them into historical context. The book reveals a little-known Einstein--not the ineffectual and naïve idealist of popular imagination, but a principled, shrewd pragmatist whose stands on political issues reflected the depth of his humanity.
Nothing encapsulates Einstein's profound involvement in twentieth-century politics like the atomic bomb. Here we read the former militant pacifist's 1939 letter to President Franklin D. Roosevelt warning that Germany might try to develop an atomic bomb. But the book also documents how Einstein tried to explain this action to Japanese pacifists after the United States used atomic weapons to destroy Hiroshima and Nagasaki, events that spurred Einstein to call for international control of nuclear technology.
A vivid firsthand view of how one of the twentieth century's greatest minds responded to the greatest political challenges of his day, Einstein on Politics will forever change our picture of Einstein's public activism and private motivations.
"Oh, what a delightful book! This is the clearest explanation of relativity available--and the most fun. It's great to have it available again. Whether or not you're a scientist, you will relish this book."--Walter Isaacson, author of Einstein: His Life and Universe
Using "just enough mathematics to help and not to hinder the lay reader," Lillian R. Lieber provides a thorough explanation of Albert Einstein's theory of relativity. Her delightful style, in combination with her husband's charming illustrations, makes for an interesting and accessible read about one of the most celebrated ideas of all times.
"A clear and vivid exposition of the essential ideas and methods of the theory of relativity...can be warmly recommended especially to those who cannot spend too much time on the subject."--Albert Einstein
"If you know high-school math, are not afraid of equations, and want to find out what Einstein really said, read Lillian Lieber's book. She will lead you through special and general relativity, helping you at every step to understand the essential equations, including tensors, with amazing clarity and conciseness. This uniquely charming book remains as vivid as ever and even more helpful, thanks to the excellent new foreward and notes by David Derbes and Robert Jantzen."--Peter Pesic, author of Abel's Proof: An Essay on the Sources and Meaning of Mathematical Unsolvability and Sky in a Bottle
"Does the nature of time fascinate you? Does gravity seem a mysterious subject? Are you interested in learning just what it is that Einstein actually did that made him so famous? Then this wonderful book is just the thing. I read the original 1945 edition when I was a high-school student in the 1950s, and it had a tremendous impact on me. I predict the same experience for you, or perhaps a young friend, with this new, updated edition."--Paul J. Nahin, author of Time Machines, Oliver Heaviside, and Dr. Euler's Fabulous Formula
Lillian R. Lieber was a professor and head of the Department of Mathematics at Long Island University. She wrote a series of lighthearted (and well-respected) math books, many of them illustrated by her husband, Hugh Gray Lieber.
David Derbes teaches physics at the University of Chicago Laboratory Schools.
Robert Jantzen is a professor of mathematics at Villanova University.
An authoritative interdisciplinary account of the historic discovery of gravitational waves
In 1915, Albert Einstein predicted the existence of gravitational waves--ripples in the fabric of spacetime caused by the movement of large masses--as part of the theory of general relativity. A century later, researchers with the Laser Interferometer Gravitational-Wave Observatory (LIGO) confirmed Einstein's prediction, detecting gravitational waves generated by the collision of two black holes. Shedding new light on the hundred-year history of this momentous achievement, Einstein Was Right brings together essays by two of the physicists who won the Nobel Prize for their instrumental roles in the discovery, along with contributions by leading scholars who offer unparalleled insights into one of the most significant scientific breakthroughs of our time. This illuminating book features an introduction by Tilman Sauer and invaluable firsthand perspectives on the history and significance of the LIGO consortium by physicists Barry Barish and Kip Thorne. Theoretical physicist Alessandra Buonanno discusses the new possibilities opened by gravitational wave astronomy, and sociologist of science Harry Collins and historians of science Diana Kormos Buchwald, Daniel Kennefick, and Jürgen Renn provide further insights into the history of relativity and LIGO. The book closes with a reflection by philosopher Don Howard on the significance of Einstein's theory for the philosophy of science. Edited by Jed Buchwald, Einstein Was Right is a compelling and thought-provoking account of one of the most thrilling scientific discoveries of the modern age.
The Big Bang: A Big Bust? The cosmos seems to be in crisis, and you don't have to be a rocket scientist to see it. How, for instance, can the universe be full of stars far older than itself? How could space have once expanded faster than the speed of light? How can most of the matter in the universe be "missing"? And what kind of truly weird matter could possibly account for ninety percent of the universe's total mass?
This brief and witty book, by the award-winning science writer Donald Goldsmith, takes on these and other key questions about the origin and evolution of the cosmos. By clearly laying out what we currently know about the universe as a whole, Goldsmith lets us see firsthand, and judge for ourselves, whether modern cosmology is in a state of crisis. Einstein's Greatest Blunder? puts the biggest subject of all--the story of the universe as scientists understand it--within the grasp of English-speaking earthlings. When Albert Einstein confronted a cosmological contradiction, in 1917, his solution was to introduce a new term, the "cosmological constant." For a time, this mathematical invention solved discrepancies between his model and the best observations available, but years later Einstein called it the "greatest blunder" of his career. And yet the cosmological constant is still alive today--it is one of the "fudge factors" employed by cosmologists to make their calculations fit the observational data. Theoretical cosmologists, shows Goldsmith, continually reshape their models in an honest (if sometimes futile) effort to explain apparent chaos as cosmic harmony--whether their specific concern is the age and expansion rate of the cosmos, hot versus cold "dark matter," the inflationary theory of the big bang, the explanation of large-scale structure, or the density and future of the universe. Engagingly written and richly illustrated with photographs taken by the Hubble Space Telescope, Einstein's Greatest Blunder? is a feast for the eye and mind.
Black holes are the best-known and least-understood objects in the universe. In Einstein's Monsters, distinguished astronomer Chris Impey takes readers on a vivid tour of these enigmatic giants. He weaves a fascinating tale out of the fiendishly complex math of black holes and the colorful history of their discovery. Impey blends this history with a poignant account of the phenomena scientists have witnessed while observing black holes: stars swarming like bees around the center of our galaxy; black holes performing gravitational waltzes with visible stars; the cymbal clash of two black holes colliding, releasing ripples in space time. Clear, compelling, and profound, Einstein's Monsters reveals how our comprehension of black holes is intrinsically linked to how we make sense of the universe and our place within it.
In 1936, Albert Einstein predicted that gravitational distortions would allow space itself to act as a telescope far more powerful than humans could ever build. Now, cosmologists at the forefront of their field are using this radical technique (Einstein's Telescope) to detect the invisible. In fresh, engaging prose, astrophysicist Evalyn Gates explains how this tool is enabling scientists to uncover planets as big as the Earth, discover black holes as they whirl through space, and trace the evolution of cosmic architecture over billions of years. Powerful and accessible, Einstein's Telescope takes us to the brink of a revolution in our understanding of the deepest mysteries of the Universe.
An authoritative and richly illustrated biography--published on the centenary of Einstein's general theory of relativity
The eternal mystery of the world is its comprehensibility ... The fact that it is comprehensible is a miracle.
--Albert Einstein, 1936
Albert Einstein's universal appeal is only partially explained by his brilliant work in physics, as Andrew Robinson demonstrates in this authoritative, accessible, and richly illustrated biography. The main narrative is enriched by twelve essays by well-known scientists, scholars, and artists, including three Nobel Laureates. The book presents clearly the beautiful simplicity at the heart of Einstein's greatest discoveries, and explains how his ideas have continued to influence scientific developments such as lasers, the theory of the big bang, and theories of everything. Einstein's life and activities outside of science are also considered, including his encounters with famous contemporaries such as Chaplin, Roosevelt, and Tagore, his love of music, and his troubled family life. The book recognizes that Einstein's striking originality was expressed in many ways, from his political and humanitarian campaigns against nuclear weapons, anti-Semitism, McCarthyism, and social injustices, to his unconventional personal appearance.
Published in association with the Albert Einstein Archives at the Hebrew University of Jerusalem, the book draws on this exceptional resource of Einstein's private papers and personal photographs.
This new edition, published to recognize the centenary of the publication of Einstein's General Theory of Relativity, includes an important new afterword by Diana Kormos Buchwald, the director of the Einstein Papers Project at the California Institute of Technology.
The contributors are Philip Anderson, Arthur C. Clarke, I. Bernard Cohen, Freeman Dyson, Philip Glass, Stephen Hawking, Max Jammer, Diana Kormos Buchwald, João Magueijo, Joseph Rotblat, Robert Schulmann, and Steven Weinberg.
-- "Metascience"
An award-winning science journalist details the quest to isolate and understand dark matter--and shows how that search has helped us to understand the universe we inhabit.
When you train a telescope on outer space, you can see luminous galaxies, nebulae, stars, and planets. But if you add all that together, it constitutes only 15 percent of the matter in the universe. Despite decades of research, the nature of the remaining 85 percent is unknown. We call it dark matter. In The Elephant in the Universe, Govert Schilling explores the fascinating history of the search for dark matter. Evidence for its existence comes from a wealth of astronomical observations. Theories and computer simulations of the evolution of the universe are also suggestive: they can be reconciled with astronomical measurements only if dark matter is a dominant component of nature. Physicists have devised huge, sensitive instruments to search for dark matter, which may be unlike anything else in the cosmos--some unknown elementary particle. Yet so far dark matter has escaped every experiment. Indeed, dark matter is so elusive that some scientists are beginning to suspect there might be something wrong with our theories about gravity or with the current paradigms of cosmology. Schilling interviews both believers and heretics and paints a colorful picture of the history and current status of dark matter research, with astronomers and physicists alike trying to make sense of theory and observation. Taking a holistic view of dark matter as a problem, an opportunity, and an example of science in action, The Elephant in the Universe is a vivid tale of scientists puzzling their way toward the true nature of the universe.
What is Mind? For this ancient question we are still seeking answers. B. Alan Wallace and Brian Hodel propose a science of the mind based on the contemplative wisdom of Buddhism, Hinduism, Taoism, Christianity, and Islam.
The authors begin by exploring the history of science, showing how science tends to ignore the mind, even while it is understood to be the very instrument through which we comprehend the world of nature. They then propose a contemplative science of mind based on the sophisticated techniques of meditation that have been practiced for thousands of years in the great spiritual traditions. The final section presents meditations that are of universal relevance--to scientists and people of all faiths--for revealing new dimensions of consciousness and human flourishing.
Embracing Mind moves us beyond the dogmatic debates between theists and atheists over Intelligent Design and Neo-Darwinism, and it returns us to the vital core of science and spirituality: deepening our experience of reality as a whole.
One of Vox's Most Important Books of the Decade
New York Times Editors' Choice 2017
Forbes Top 10 Best Environment, Climate, and Conservation Book of 2017
As new groundbreaking research suggests that climate change played a major role in the most extreme catastrophes in the planet's history, award-winning science journalist Peter Brannen takes us on a wild ride through the planet's five mass extinctions and, in the process, offers us a glimpse of our increasingly dangerous future
Our world has ended five times: it has been broiled, frozen, poison-gassed, smothered, and pelted by asteroids. In The Ends of the World, Peter Brannen dives into deep time, exploring Earth's past dead ends, and in the process, offers us a glimpse of our possible future.
Many scientists now believe that the climate shifts of the twenty-first century have analogs in these five extinctions. Using the visible clues these devastations have left behind in the fossil record, The Ends of the World takes us inside "scenes of the crime," from South Africa to the New York Palisades, to tell the story of each extinction. Brannen examines the fossil record--which is rife with creatures like dragonflies the size of sea gulls and guillotine-mouthed fish--and introduces us to the researchers on the front lines who, using the forensic tools of modern science, are piecing together what really happened at the crime scenes of the Earth's biggest whodunits.
Part road trip, part history, and part cautionary tale, The Ends of the World takes us on a tour of the ways that our planet has clawed itself back from the grave, and casts our future in a completely new light.
A NEW YORK TIMES NOTABLE BOOK OF 2018
ONE OF THE ECONOMIST'S BOOKS OF THE YEAR
My new favorite book of all time. --Bill Gates If you think the world is coming to an end, think again: people are living longer, healthier, freer, and happier lives, and while our problems are formidable, the solutions lie in the Enlightenment ideal of using reason and science. Is the world really falling apart? Is the ideal of progress obsolete? In this elegant assessment of the human condition in the third millennium, cognitive scientist and public intellectual Steven Pinker urges us to step back from the gory headlines and prophecies of doom, which play to our psychological biases. Instead, follow the data: In seventy-five jaw-dropping graphs, Pinker shows that life, health, prosperity, safety, peace, knowledge, and happiness are on the rise, not just in the West, but worldwide. This progress is not the result of some cosmic force. It is a gift of the Enlightenment: the conviction that reason and science can enhance human flourishing. Far from being a naïve hope, the Enlightenment, we now know, has worked. But more than ever, it needs a vigorous defense. The Enlightenment project swims against currents of human nature--tribalism, authoritarianism, demonization, magical thinking--which demagogues are all too willing to exploit. Many commentators, committed to political, religious, or romantic ideologies, fight a rearguard action against it. The result is a corrosive fatalism and a willingness to wreck the precious institutions of liberal democracy and global cooperation. With intellectual depth and literary flair, Enlightenment Now makes the case for reason, science, and humanism: the ideals we need to confront our problems and continue our progress.
If humanity cannot live with the dangers and responsibilities inherent in freedom, it will probably turn to authoritarianism. This is the central idea of Escape from Freedom, a landmark work by one of the most distinguished thinkers of our time, and a book that is as timely now as when first published in 1941. Few books have thrown such light upon the forces that shape modern society or penetrated so deeply into the causes of authoritarian systems. If the rise of democracy set some people free, at the same time it gave birth to a society in which the individual feels alienated and dehumanized. Using the insights of psychoanalysis as probing agents, Fromm's work analyzes the illness of contemporary civilization as witnessed by its willingness to submit to totalitarian rule.
A compelling worldview with advocates from around the globe, agrarianism challenges the shortcomings of our industrial and technological economy. Not simply focused on farming, the agrarian outlook encourages us to develop practices and policies that promote the health of land, community, and culture. Agrarianism reminds us that no matter how urban we become, our survival will always be inextricably linked to the precious resources of soil, water, and air.
Combining fresh insights from the disciplines of education, law, history, urban and regional planning, economics, philosophy, religion, ecology, politics, and agriculture, these original essays develop a sophisticated critique of our culture's current relationship to the land, while offering practical alternatives. Leading agrarians, including Wendell Berry, Vandana Shiva, Wes Jackson, Gene Logsdon, Brian Donahue, Eric Freyfogle, and David Orr, explain how our goals should be redirected toward genuinely sustainable communities. These writers call us to an honest accounting and correction of our often destructive ways. They suggest how our society can take practical steps toward integrating soils, watersheds, forests, wildlife, urban areas, and human populations into one great system--a responsible flourishing of our world and culture.
Amos Tversky (1937-1996) was a towering figure in the cognitive and decision sciences. His work was ingenious, exciting, and influential, spanning topics from intuition to statistics to behavioral economics. His long and extraordinarily productive collaboration with his friend and colleague Daniel Kahneman was the subject of Michael Lewis's best-selling book, The Undoing Project: A Friendship that Changed Our Minds. The Essential Tversky offers a selection of Tversky's best, most influential and accessible papers, "classics" chosen to capture the essence of Tversky's thought.
The impact of Tversky's work is far reaching and long-lasting. In 2002, Kahneman, who drew on their joint work in his much-praised 2013 book, Thinking, Fast and Slow (and who contributes an afterword to this collection), was awarded the Nobel Prize in Economics for work done with Tversky. In The Undoing Project, Lewis (who contributes a foreword to this collection) describes his discovery that Tversky and Kahneman's thinking laid the foundation for Moneyball, his own ode to number-crunching. The papers collected in The Essential Tversky cover topics that include cognitive and perceptual bias, misguided beliefs, inconsistent preferences, risky choice and loss aversion decisions, and psychological common sense. Together, they offer nonspecialist readers an introduction to one of the most brilliant social science thinkers of the twentieth century.
Until a few decades ago, the ocean depths were almost as mysterious and inaccessible as outer space. Oceans cover two-thirds of the earth's surface with an average depth of more than two miles--yet humans had never ventured more than a few hundred feet below the waves. One of the great scientific and archaeological feats of our time has been finally to cast light on the "eternal darkness" of the deep sea. This is the story of that achievement, told by the man who has done more than any other to make it possible: Robert Ballard.
Ballard discovered the wreck of the Titanic. He led the teams that discovered hydrothermal vents and "black smokers"--cracks in the ocean floor where springs of superheated water support some of the strangest life-forms on the planet. He was a diver on the team that explored the mid-Atlantic ridge for the first time, confirming the theory of plate tectonics. Today, using a nuclear submarine from the U.S. Navy, he's exploring the ancient trade routes of the Mediterranean and the Black Sea for the remains of historic vessels and their cargo. In this book, he combines science, history, spectacular illustrations, and first-hand stories from his own expeditions in a uniquely personal account of how twentieth-century explorers have pushed back the frontiers of technology to take us into the midst of a world we could once only guess at. Ballard begins in 1930 with William Beebe and Otis Barton, pioneers of the ocean depths who made the world's first deep-sea dives in a cramped steel sphere. He introduces us to Auguste and Jacques Piccard, whose "Bathyscaph"descended in 1960 to the lowest point on the ocean floor. He reviews the celebrated advances made by Jacques Cousteau. He describes his own major discoveries--from sea-floor spreading to black smokers--as well as his technical breakthroughs, including the development of remote-operated underwater vehicles and the revolutionary search techniques that led to the discovery and exploration of the Titanic, the Nazi battleship Bismarck, ancient trading vessels, and other great ships. Readers will come away with a richer understanding of history, earth science, biology, and marine technology--and a new appreciation for the remarkable men and women who have explored some of the most remote and fascinating places on the planet.
These companion volumes, long out of print, are now presented together for the first time so that the reader may better grasp their essential unity. In Ether, God and Devil, Wilhelm Reich describes the process of functional thinking and reveals how the inner logic of this objective thought technique led him to the discovery of cosmic orgone energy.
In Cosmic Superimposition, Reich steps beyond the character structure of man to an understanding of how man is rooted in nature. The super-imposition of two orgone-energy systems which is demonstrable in the genital embrace is revealed as a common functioning principal that exists in all of nature. Concluding this work, Reich returns to the human sphere "to ponder about the greatest riddle of all: the ability of man to think, and by mere thinking to know what nature is and how it works."
