Math & Science

Benjamin Franklin is well known to most of us, yet his fundamental and wide-ranging contributions to science are still not adequately understood. Until now he has usually been incorrectly regarded as a practical inventor and tinkerer rather than a scientific thinker. He was elected to membership in the elite Royal Society because his experiments and original theory of electricity had made a science of that new subject. His popular fame came from his two lightning experiments--the sentry-box experiment and the later and more famous experiment of the kite--which confirmed his theoretical speculations about the identity of electricity and provided a basis for the practical invention of the lightning rod. Franklin advanced the eighteenth-century understanding of all phenomena of electricity and provided a model for experimental science in general.

I. Bernard Cohen, an eminent historian of science and the principal elucidator of Franklin's scientific work, examines his activities in fields ranging from heat to astronomy. He provides masterful accounts of the theoretical background of Franklin's science (especially his study of Newton), the experiments he performed, and their influence throughout Europe as well as the United States. Cohen emphasizes that Franklin's political and diplomatic career cannot be understood apart from his scientific activities, which established his reputation and brought him into contact with leaders of British and European society. A supplement by Samuel J. Edgerton considers Franklin's attempts to improve the design of heating stoves, another practical application that arose from theoretical interests.

This volume will be valuable to all readers wanting to learn more about Franklin and to gain a deeper appreciation of the development of science in America.

The year's finest writing on mathematics from around the world, with a foreword by Nobel Prize-winning physicist Roger Penrose

This annual anthology brings together the year's finest mathematics writing from around the world. Featuring promising new voices alongside some of the foremost names in the field, The Best Writing on Mathematics 2013 makes available to a wide audience many articles not easily found anywhere else--and you don't need to be a mathematician to enjoy them. These writings offer surprising insights into the nature, meaning, and practice of mathematics today. They delve into the history, philosophy, teaching, and everyday occurrences of math, and take readers behind the scenes of today's hottest mathematical debates. Here Philip Davis offers a panoramic view of mathematics in contemporary society; Terence Tao discusses aspects of universal mathematical laws in complex systems; Ian Stewart explains how in mathematics everything arises out of nothing; Erin Maloney and Sian Beilock consider the mathematical anxiety experienced by many students and suggest effective remedies; Elie Ayache argues that exchange prices reached in open market transactions transcend the common notion of probability; and much, much more.

In addition to presenting the year's most memorable writings on mathematics, this must-have anthology includes a foreword by esteemed mathematical physicist Roger Penrose and an introduction by the editor, Mircea Pitici. This book belongs on the shelf of anyone interested in where math has taken us--and where it is headed.

The year's finest writing on mathematics from around the world

This annual anthology brings together the year's finest mathematics writing from around the world. Featuring promising new voices alongside some of the foremost names in the field, The Best Writing on Mathematics 2015 makes available to a wide audience many articles not easily found anywhere else--and you don't need to be a mathematician to enjoy them. These writings offer surprising insights into the nature, meaning, and practice of mathematics today. They delve into the history, philosophy, teaching, and everyday occurrences of math, and take readers behind the scenes of today's hottest mathematical debates.

Here David Hand explains why we should actually expect unlikely coincidences to happen; Arthur Benjamin and Ethan Brown unveil techniques for improvising custom-made magic number squares; Dana Mackenzie describes how mathematicians are making essential contributions to the development of synthetic biology; Steven Strogatz tells us why it's worth writing about math for people who are alienated from it; Lisa Rougetet traces the earliest written descriptions of Nim, a popular game of mathematical strategy; Scott Aaronson looks at the unexpected implications of testing numbers for randomness; and much, much more.

In addition to presenting the year's most memorable writings on mathematics, this must-have anthology includes a bibliography of other notable writings and an introduction by the editor, Mircea Pitici. This book belongs on the shelf of anyone interested in where math has taken us--and where it is headed.

The year's finest mathematical writing from around the world

This annual anthology brings together the year's finest mathematics writing from around the world. Featuring promising new voices alongside some of the foremost names in the field, The Best Writing on Mathematics 2018 makes available to a wide audience many pieces not easily found anywhere else--and you don't need to be a mathematician to enjoy them. These essays delve into the history, philosophy, teaching, and everyday aspects of math, offering surprising insights into its nature, meaning, and practice--and taking readers behind the scenes of today's hottest mathematical debates.

James Grime shows how to build subtly mischievous dice for playing slightly unfair games and Michael Barany traces how our appreciation of the societal importance of mathematics has developed since World War II. In other essays, Francis Su extolls the inherent values of learning, doing, and sharing mathematics, and Margaret Wertheim takes us on a mathematical exploration of the mind and the world--with glimpses at science, philosophy, music, art, and even crocheting. And there's much, much more.

In addition to presenting the year's most memorable math writing, this must-have anthology includes an introduction by the editor and a bibliography of other notable pieces on mathematics.

This is a must-read for anyone interested in where math has taken us--and where it is headed.

Believe it or not, today we may be living in the most peaceful moment in our species' existence. In his gripping and controversial new work, New York Times bestselling author Steven Pinker shows that despite the ceaseless news about war, crime, and terrorism, violence has actually been in decline over long stretches of history. Exploding myths about humankind's inherent violence and the curse of modernity, this ambitious book continues Pinker's exploration of the essence of human nature, mixing psychology and history to provide a remarkable picture of an increasingly enlightened world.

For some people, even prison cannot shut out the natural world.

A teacher and family man incarcerated in Arizona State Prison--the result of a transgression that would cost him a dozen years of his life--Ken Lamberton can see beyond his desert walls. In essays that focus on the natural history of the region and on his own personal experiences with desert places, the author of the Burroughs Medal-winning book Wilderness and Razor Wire takes readers along as he revisits the Southwest he knew when he was free, and as he makes an inner journey toward self-awareness. Whether considering the seemingly eternal cacti or the desolate beauty of the Pinacate, he draws on sharp powers of observation to re-create what lies beyond his six-by-eight cell and to contemplate the thoughts that haunt his mind as tenaciously as the kissing bugs that haunt his sleep.

Ranging from prehistoric ruins on the Colorado Plateau to the shores of the Sea of Cortez, these writings were begun before Wilderness and Razor Wire and serve as a prequel to it. They seamlessly interweave natural and personal history as Lamberton explores caves, canyons, and dry ponds, evoking the mysteries and rhythms of desert life that elude even the most careful observers. He offers new ways of thinking about how we relate to the natural world, and about the links between those relationships and the ones we forge with other people. With the assurance of a gifted writer, he seeks to make sense of his own place in life, crafting words to come to terms with an insanity of his own making, to look inside himself and understand his passions and flaws.

Whether considering rattlesnakes of the hellish summer desert or the fellow inmates of his own personal hell, Lamberton finds meaningful connections--to his crime and his place, to the people who remained in his life and those who didn't. But what he reveals in Beyond Desert Walls ultimately arises from language itself: a deep, and perhaps even frightening, understanding of a singular human nature.

Buddhism shares with science the task of examining the mind empirically; it has pursued, for two millennia, direct investigation of the mind through penetrating introspection. Neuroscience, on the other hand, relies on third-person knowledge in the form of scientific observation. In this book, Matthieu Ricard, a Buddhist monk trained as a molecular biologist, and Wolf Singer, a distinguished neuroscientist--close friends, continuing an ongoing dialogue--offer their perspectives on the mind, the self, consciousness, the unconscious, free will, epistemology, meditation, and neuroplasticity.

Ricard and Singer's wide-ranging conversation stages an enlightening and engaging encounter between Buddhism's wealth of experiential findings and neuroscience's abundance of experimental results. They discuss, among many other things, the difference between rumination and meditation (rumination is the scourge of meditation, but psychotherapy depends on it); the distinction between pure awareness and its contents; the Buddhist idea (or lack of one) of the unconscious and neuroscience's precise criteria for conscious and unconscious processes; and the commonalities between cognitive behavioral therapy and meditation. Their views diverge (Ricard asserts that the third-person approach will never encounter consciousness as a primary experience) and converge (Singer points out that the neuroscientific understanding of perception as reconstruction is very like the Buddhist all-discriminating wisdom) but both keep their vision trained on understanding fundamental aspects of human life.

Our universe has multiple origin stories, from religious creation myths to the Big Bang of scientists. But if we leave those behind and start from nothing--no matter, no cosmos, not even empty space--could we create a universe using only math? Irreverent, richly illustrated, and boundlessly creative, The Big Bang of Numbers invites us to try.

In this new mathematical origin story, mathematician and novelist Manil Suri creates a natural progression of ideas needed to design our world, starting with numbers and continuing through geometry, algebra, and beyond. He reveals the secret lives of real and imaginary numbers, teaches them to play abstract games with real-world applications, discovers unexpected patterns that connect humble lifeforms to enormous galaxies, and explores mathematical underpinnings for randomness and beauty. With evocative examples ranging from multidimensional crochet to the Mona Lisa's asymmetrical smile, as well as ingenious storytelling that helps illuminate complex concepts like infinity and relativity, The Big Bang of Numbers charts a playful, inventive course to existence. Mathematics, Suri shows, might best be understood not as something we invent to explain Nature, but as the source of all creation, whose directives Nature tries to obey as best she can.

Offering both striking new perspectives for math aficionados and an accessible introduction for anyone daunted by calculation, The Big Bang of Numbers proves that we can all fall in love with math.

Why birds are smarter than we think

Birds have not been known for their high IQs, which is why a person of questionable intelligence is sometimes called a birdbrain. Yet in the past two decades, the study of avian intelligence has witnessed dramatic advances. From a time when birds were seen as simple instinct machines responding only to stimuli in their external worlds, we now know that some birds have complex internal worlds as well. This beautifully illustrated book provides an engaging exploration of the avian mind, revealing how science is exploding one of the most widespread myths about our feathered friends--and changing the way we think about intelligence in other animals as well.

Bird Brain looks at the structures and functions of the avian brain, and describes the extraordinary behaviors that different types of avian intelligence give rise to. It offers insights into crows, jays, magpies, and other corvids--the "masterminds" of the avian world--as well as parrots and some less-studied species from around the world. This lively and accessible book shows how birds have sophisticated brains with abilities previously thought to be uniquely human, such as mental time travel, self-recognition, empathy, problem solving, imagination, and insight.

Written by a leading expert and featuring a foreword by Frans de Waal, renowned for his work on animal intelligence, Bird Brain shines critical new light on the mental lives of birds.

From award-winning author and ornithologist Tim Birkhead, a sweeping history of the long and close relationship between birds and humans

Since the dawn of human history, birds have stirred our imagination, inspiring and challenging our ideas about science, faith, art, and philosophy. We have worshipped birds as gods, hunted them for sustenance, adorned ourselves with their feathers, studied their wings to engineer flight, and, more recently, attempted to protect them. In Birds and Us, award-winning writer and ornithologist Tim Birkhead takes us on a dazzling epic journey through our mutual history with birds, from the ibises mummified and deified by Ancient Egyptians to the Renaissance fascination with woodpecker anatomy--and from the Victorian obsession with egg collecting to today's fight to save endangered species and restore their habitats.

Spanning continents and millennia, Birds and Us chronicles the beginnings of a written history of birds in ancient Greece and Rome, the obsession with falconry in the Middle Ages, and the development of ornithological science. Moving to the twentieth century, the book tells the story of the emergence of birdwatching and the field study of birds, and how they triggered an extraordinary flowering of knowledge and empathy for birds, eventually leading to today's massive worldwide interest in birds--and the realization of the urgent need to save them.

Weaving in stories from Birkhead's life as scientist, including far-flung expeditions to wondrous Neolithic caves in Spain and the bustling guillemot colonies of the Faroe Islands, this rich and fascinating book is an unforgettable account of how birds have shaped us, and how we have shaped them.

The finest, most lavishly illustrated photographic guide to the birds of western North America

Combining informative and accessible text, up-to-date maps, and--above all--stunning color photographs, this is the best and most lavishly illustrated photographic guide to the birds of western North America. All of the images have been carefully selected to convey both the sheer beauty and the key identification features of each bird, and many of the photos are larger than those found in other guides. Wherever possible, a variety of plumages are pictured, providing visual coverage and usefulness matching any artwork-illustrated field guide. And many of the images are state-of-the-art digital photographs by Brian Small, one of North America's finest bird photographers. These pictures, many seen here for the first time, reproduce a previously unimaginable level of detail. Finally, the ranges of nearly all species are shown on maps from the Cornell Laboratory of Ornithology, the authority on North American birding. New and experienced birders alike will find this guide indispensable: the clear layout will help novices easily identify the birds they see, while the superb photographs will help seasoned birders confirm identifications.

The Blind Watchmaker is the seminal text for understanding evolution today. In the eighteenth century, theologian William Paley developed a famous metaphor for creationism: that of the skilled watchmaker. In The Blind Watchmaker, Richard Dawkins crafts an elegant riposte to show that the complex process of Darwinian natural selection is unconscious and automatic. If natural selection can be said to play the role of a watchmaker in nature, it is a blind one--working without foresight or purpose.

In an eloquent, uniquely persuasive account of the theory of natural selection, Dawkins illustrates how simple organisms slowly change over time to create a world of enormous complexity, diversity, and beauty.