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Math & Science
An exploration of mathematical style through 99 different proofs of the same theorem
This book offers a multifaceted perspective on mathematics by demonstrating 99 different proofs of the same theorem. Each chapter solves an otherwise unremarkable equation in distinct historical, formal, and imaginative styles that range from Medieval, Topological, and Doggerel to Chromatic, Electrostatic, and Psychedelic. With a rare blend of humor and scholarly aplomb, Philip Ording weaves these variations into an accessible and wide-ranging narrative on the nature and practice of mathematics. Inspired by the experiments of the Paris-based writing group known as the Oulipo--whose members included Raymond Queneau, Italo Calvino, and Marcel Duchamp--Ording explores new ways to examine the aesthetic possibilities of mathematical activity. 99 Variations on a Proof is a mathematical take on Queneau's Exercises in Style, a collection of 99 retellings of the same story, and it draws unexpected connections to everything from mysticism and technology to architecture and sign language. Through diagrams, found material, and other imagery, Ording illustrates the flexibility and creative potential of mathematics despite its reputation for precision and rigor. Readers will gain not only a bird's-eye view of the discipline and its major branches but also new insights into its historical, philosophical, and cultural nuances. Readers, no matter their level of expertise, will discover in these proofs and accompanying commentary surprising new aspects of the mathematical landscape.In 1824 a young Norwegian named Niels Henrik Abel proved conclusively that algebraic equations of the fifth order are not solvable in radicals. In this book Peter Pesic shows what an important event this was in the history of thought. He also presents it as a remarkable human story. Abel was twenty-one when he self-published his proof, and he died five years later, poor and depressed, just before the proof started to receive wide acclaim. Abel's attempts to reach out to the mathematical elite of the day had been spurned, and he was unable to find a position that would allow him to work in peace and marry his fiancé.
But Pesic's story begins long before Abel and continues to the present day, for Abel's proof changed how we think about mathematics and its relation to the "real" world. Starting with the Greeks, who invented the idea of mathematical proof, Pesic shows how mathematics found its sources in the real world (the shapes of things, the accounting needs of merchants) and then reached beyond those sources toward something more universal. The Pythagoreans' attempts to deal with irrational numbers foreshadowed the slow emergence of abstract mathematics. Pesic focuses on the contested development of algebra--which even Newton resisted--and the gradual acceptance of the usefulness and perhaps even beauty of abstractions that seem to invoke realities with dimensions outside human experience. Pesic tells this story as a history of ideas, with mathematical details incorporated in boxes. The book also includes a new annotated translation of Abel's original proof.
You've probably seen it before: a human brain dramatically lit from the side, the camera circling it like a helicopter shot of Stonehenge, and a modulated baritone voice exalting the brain's elegant design in reverent tones.
To which this book says: Pure nonsense. In a work at once deeply learned and wonderfully accessible, the neuroscientist David Linden counters the widespread assumption that the brain is a paragon of design--and in its place gives us a compelling explanation of how the brain's serendipitous evolution has resulted in nothing short of our humanity. A guide to the strange and often illogical world of neural function, The Accidental Mind shows how the brain is not an optimized, general-purpose problem-solving machine, but rather a weird agglomeration of ad-hoc solutions that have been piled on through millions of years of evolutionary history. Moreover, Linden tells us how the constraints of evolved brain design have ultimately led to almost every transcendent human foible: our long childhoods, our extensive memory capacity, our search for love and long-term relationships, our need to create compelling narrative, and, ultimately, the universal cultural impulse to create both religious and scientific explanations. With forays into evolutionary biology, this analysis of mental function answers some of our most common questions about how we've come to be who we are.To perceive, according to this enactive approach to perception, is not merely to have sensations; it is to have sensations that we understand. In Action in Perception, Noë investigates the forms this understanding can take. He begins by arguing, on both phenomenological and empirical grounds, that the content of perception is not like the content of a picture; the world is not given to consciousness all at once but is gained gradually by active inquiry and exploration. Noë then argues that perceptual experience acquires content thanks to our possession and exercise of practical bodily knowledge, and examines, among other topics, the problems posed by spatial content and the experience of color. He considers the perspectival aspect of the representational content of experience and assesses the place of thought and understanding in experience. Finally, he explores the implications of the enactive approach for our understanding of the neuroscience of perception.
After Physics presents ambitious new essays about some of the deepest questions at the foundations of physics, by the physicist and philosopher David Albert. The book's title alludes to the close connections between physics and metaphysics, much in evidence throughout these essays. It also alludes to the work of imagining what it would be like for the project of physical science--considered as an investigation into the fundamental laws of nature--to be complete.
Albert argues that the difference between the past and the future--traditionally regarded as a matter for metaphysical or conceptual or linguistic or phenomenological analysis--can be understood as a mechanical phenomenon of nature. In another essay he contends that all versions of quantum mechanics that are compatible with the special theory of relativity make it impossible, even in principle, to present the entirety of what can be said about the world as a narrative sequence of "befores" and "afters." Any sensible and realistic way of solving the quantum-mechanical measurement problem, Albert claims in yet another essay, is ultimately going to force us to think of particles and fields, and even the very space of the standard scientific conception of the world, as approximate and emergent. Novel discussions of the problem of deriving principled limits on what can be known, measured, or communicated from our fundamental physical theories, along with a sweeping critique of the main attempts at making sense of probabilities in many-worlds interpretations of quantum mechanics, round out the collection.A century ago, discoveries in physics came together with engineering to produce an array of astonishing new technologies that radically reshaped the world: radios, televisions, aircraft, computers, and a host of still-evolving digital tools. Today, a new technological convergence--of biology and engineering--promises to create the tools necessary to tackle the threats we now face, including climate change, drought, famine, and disease
World-renowned neuroscientist and academic leader Susan Hockfield describes the most exciting new developments and the scientists and engineers who helped to create them. Virus-built batteries. Cancer-detecting nanoparticles. Computer-engineered crops. Together, they highlight the promise of the technology revolution of the twenty-first century to overcome some of the greatest humanitarian, medical, and environmental challenges of our time.
This classic work in the philosophy of physical science is an incisive and readable account of the scientific method. Pierre Duhem was one of the great figures in French science, a devoted teacher, and a distinguished scholar of the history and philosophy of science. This book represents his most mature thought on a wide range of topics.
Five long essays that trace Jung's developing interest in alchemy from 1929 onward. An introduction and supplement to his major works on the subject, illustrated with 42 patients' drawings and paintings.
Bringing together the best and most interesting science stories from in Quanta Magazine, Alice and Bob Meet the Wall of Fire reports on some of the greatest scientific minds as they test the limits of human knowledge. In the title story, Alice and Bob--beloved characters of various thought experiments in physics--grapple with gravitational forces, possible spaghettification, and a massive wall of fire as Alice jumps into a black hole. Another story considers whether the universe is impossible, in light of experimental results at the Large Hadron Collider. We learn about quantum reality and the mystery of quantum entanglement; explore the source of time's arrow; and witness a eureka moment when a quantum physicist exclaims: "Finally, we can understand why a cup of coffee equilibrates in a room." We reflect on humans' enormous skulls and the Brain Boom; consider the evolutionary benefits of loneliness; peel back the layers of the newest artificial intelligence algorithms; follow the "battle for the heart and soul of physics"; and mourn the disappearance of the "diphoton bump," revealed to be a statistical fluctuation rather than a revolutionary new particle. Winner of the 2022 Pulitzer Prize for Explanatory Reporting, Quanta is the only popular publication that offers in-depth coverage of today's challenging, speculative, cutting-edge science. It communicates science by taking it seriously, wrestling with difficult concepts and clearly explaining them in a way that speaks to our innate curiosity about our world and ourselves. With Alice and Bob Meet the Wall of Fire, Quanta once again gives us a front-row seat to scientific discovery.
A New York Times bestseller and enduring classic, All About Love is the acclaimed first volume in feminist icon bell hooks' "Love Song to the Nation" trilogy. All About Love reveals what causes a polarized society, and how to heal the divisions that cause suffering. Here is the truth about love, and inspiration to help us instill caring, compassion, and strength in our homes, schools, and workplaces.
"The word 'love' is most often defined as a noun, yet we would all love better if we used it as a verb," writes bell hooks as she comes out fighting and on fire in All About Love. Provocative and intensely personal, renowned scholar, cultural critic and feminist bell hooks offers a proactive new ethic for a society stricken with lovelessness--not the lack of romance, but the lack of care, compassion, and unity. People are divided, she declares, by society's failure to provide a model for learning to love.
In this landmark book, bell hooks explores the question "What is love?" Her answers strike at both the mind and heart. Disputing that the ideal love is infused with sex and desire, she provides a new path to love that is sacred, redemptive, and healing for individuals and for a nation. All About Love is a powerful, timely affirmation of just how profoundly love and community can change hearts and minds for the better.
As a young science fiction fan, physicist James Kakalios marveled at the future predicted in the pulp magazines, comics, and films of the '50s and '60s. By 2010, he was sure we'd have flying cars and jetpacks. But what we ended up with-laptop computers, MRI machines, Blu-ray players, and dozens of other real-life marvels-are even more fantastic. In The Amazing Story of Quantum Mechanics, he explains why the development of quantum mechanics enabled our amazing present day.
In his trademark style, Kakalios uses pop culture examples- everything from the graphic novel Watchmen to schlock horror movies of the '50s-to elucidate some of the most complex science there is. And he brings to life the groundbreaking scientists whose discoveries made our present life possible. Along the way, he dispels the misconception that quantum mechanics is unknowable by mere mortals. It's not magic; it's science!
Men wield outsized power across all major institutions. But they are falling behind across all measures of well-being and success. They include loving husbands and absent fathers, corporate strivers and displaced workers, the objects and instruments of incredible violence. They are half the population. And yet when mentioned as a bloc, it's often to ask the question: What's wrong with them?
American Men is a book that burrows deep into the lives of four men, exploring how each of them construct their relationship to masculinity, and how they navigate that relationship over time. They include Ryan, an amateur MMA fighter from the Akwesasne Mohawk territory, struggling to come to terms with both his sexuality as a closeted gay man and his draw toward bar room violence; Gideon, an itinerant, tall and handsome West Point graduate and former baseball star who unravels when he encounters challenges to his status as the white masculine ideal; Joseph, a Seattle law student whose marriage teeters on the brink of turmoil as he tries on his own to contend with the effects of childhood sexual trauma; and Nate, a young Ohio man still living at home and trying to establish security for himself in a rural pocket of a red state, where he's under threat as someone who is Black, trans, and poor. Written with searing intimacy after five years of reporting, American Men interweaves their stories into a mosaic that explores identity, heritage, and the pressures and performance of modern American masculinity.An Eternity of Eagles
The Human History of the Most Fascinating Bird in the World
A compulsively readable natural and social history, An Eternity of Eagles is a profusely illustrated celebration of all things eagle, by a naturalist who has kept eagles himself and ridden with the eagle tribes of Central Asia.
"His vivid description of an eagle, if it could imagine itself, is of a 'carnivorous Buddhist.' Through Bodio's insights we get a strange glimpse of these other minds that share the earth with us."
--Annie Proulx, author of The Shipping News and Brokeback Mountain
From one of the foremost author/naturalists in the country, Stephen J. Bodio, comes a compulsively readable natural and social history of the most beautiful bird in the world -- the eagle, with a lengthy and admiring introduction by Annie Proulx.
The Eagle's Shadow traces our love-hate relationship to these "living dinosaurs," from Neolithic rock art and Native American religion through the practices of Kazakh falconers who use them to hunt wolves, and to contemporary art and popular culture.
Proulx sums up best the heart of this book: "Those of us who are interested in bird behavior beyond the feeder or the identification guide book find meager pickings when it comes to information. I am fortunate that my house faces a cliff with a river at the base where I can watch raptors, water fowl, and a hundred other species. The nests of a pair of bald eagles and another upriver inhabited by golden eagles are in sight from the breakfast table. I have plenty of books on birds, but the information on why the big eagles do what they do is hard to dig out. Eagle behavior is usually lumped together with the general behavior of the Accipitrids, but a single book focused on the rich lore and sweep of eagledom did not seem to exist... . Bodio's beautifully written and authoritative book, Eagles, is a primary source of information as well as an omnium gatherum from literature, film and mythology concerning these large, striking birds."
Stephen Bodio was born and educated in Boston and has lived in a rural New Mexico village for over thirty years. He has traveled extensively in Europe, Africa, and Asia and has written five books.
ONE OF THE BEST BOOKS OF THE YEAR: Oprah Daily, The New Yorker, The Washington Post, The Guardian, The Economist, Smithsonian Magazine, Prospect (UK), Globe & Mail, Esquire, Mental Floss, Marginalian, She Reads, Kirkus Reviews, Library Journal ONE OF BARACK OBAMA'S FAVORITE BOOKS OF THE YEAR - A KIRKUS REVIEWS BEST NONFICTION BOOK OF THE CENTURY The Earth teems with sights and textures, sounds and vibrations, smells and tastes, electric and magnetic fields. But every kind of animal, including humans, is enclosed within its own unique sensory bubble, perceiving but a tiny sliver of our immense world. In An Immense World, Ed Yong coaxes us beyond the confines of our own senses, allowing us to perceive the skeins of scent, waves of electromagnetism, and pulses of pressure that surround us. We encounter beetles that are drawn to fires, turtles that can track the Earth's magnetic fields, fish that fill rivers with electrical messages, and even humans who wield sonar like bats. We discover that a crocodile's scaly face is as sensitive as a lover's fingertips, that the eyes of a giant squid evolved to see sparkling whales, that plants thrum with the inaudible songs of courting bugs, and that even simple scallops have complex vision. We learn what bees see in flowers, what songbirds hear in their tunes, and what dogs smell on the street. We listen to stories of pivotal discoveries in the field, while looking ahead at the many mysteries that remain unsolved. Funny, rigorous, and suffused with the joy of discovery, An Immense World takes us on what Marcel Proust called "the only true voyage . . . not to visit strange lands, but to possess other eyes."
WINNER OF THE ANDREW CARNEGIE MEDAL - FINALIST FOR THE KIRKUS PRIZE - FINALIST FOR THE NATIONAL BOOK CRITICS CIRCLE AWARD - LONGLISTED FOR THE PEN/E.O. WILSON AWARD
An Inconvenient Truth--Gore's groundbreaking, battle cry of a follow-up to the bestselling Earth in the Balance--is being published to tie in with a documentary film of the same name. Both the book and film were inspired by a series of multimedia presentations on global warming that Gore created and delivers to groups around the world. With this book, Gore, who is one of our environmental heroes--and a leading expert--brings together leading-edge research from top scientists around the world; photographs, charts, and other illustrations; and personal anecdotes and observations to document the fast pace and wide scope of global warming. He presents, with alarming clarity and conclusiveness--and with humor, too--that the fact of global warming is not in question and that its consequences for the world we live in will be disastrous if left unchecked. This riveting new book--written in an accessible, entertaining style--will open the eyes of even the most skeptical.
Two giants of twentieth-century psychology in dialogue
C. G. Jung and Erich Neumann first met in 1933, at a seminar Jung was conducting in Berlin. Jung was fifty-seven years old and internationally acclaimed for his own brand of psychotherapy. Neumann, twenty-eight, had just finished his studies in medicine. The two men struck up a correspondence that would continue until Neumann's death in 1960. A lifelong Zionist, Neumann fled Nazi Germany with his family and settled in Palestine in 1934, where he would become the founding father of analytical psychology in the future state of Israel. Presented here in English for the first time are letters that provide a rare look at the development of Jung's psychological theories from the 1930s onward as well as the emerging self-confidence of another towering twentieth-century intellectual who was often described as Jung's most talented student. Neumann was one of the few correspondence partners of Jung's who was able to challenge him intellectually and personally. These letters shed light on not only Jung's political attitude toward Nazi Germany, his alleged anti-Semitism, and his psychological theory of fascism, but also his understanding of Jewish psychology and mysticism. They affirm Neumann's importance as a leading psychologist of his time and paint a fascinating picture of the psychological impact of immigration on the German Jewish intellectuals who settled in Palestine and helped to create the state of Israel. Featuring Martin Liebscher's authoritative introduction and annotations, this volume documents one of the most important intellectual relationships in the history of analytical psychology."Frighteningly fascinating."--Booklist
"Gripping stories, filled with details that are in equal part delicious and disgusting, but always fascinating."--Lisa Sanders, MD, author of Every Patient Tells a Story and the New York Times Magazine "Diagnosis" column
"To reproduce promiscuously and to wreak havoc wherever they can find a home," this is the sole raison d'être of viruses writes Dr. Warren Andiman, an HIV/AIDS researcher who has been on the front lines battling infectious diseases for over forty years. In Animal Viruses and Humans: A Narrow Divide, Andiman traces the history of eight zoonotic viruses --deadly microbes that have made the leap directly from animals to human populations: Middle East Respiratory Syndrome (MERS), Swine influenza, Hantavirus, Monkeypox, Severe Acute Respiratory Syndrome (SARS), Rabies, Ebola, and Henipaviruses (Nipah and Hendra). He also illustrates the labor intensive and fascinating detective work that infectious disease specialists must do to uncover the source of an outbreak.
Andiman also looks to the future, envisioning the effects on zoonoses (diseases caused by zoonotic viruses) of climate change, microenvironmental damage, population shifts, and globalization. He reveals the steps that we can, and must, take to stem the spread of animal viruses, explaining, "The zoonoses I've chosen to write about . . . are meant to describe only a small sample of what is already out there but, more menacingly, what is inevitably on its way, in forms we can only imagine."
Warren Andiman, MD is professor emeritus of pediatrics and epidemiology at the Yale Schools of Medicine and Public Health.






























