Math & Science

Optimists believe this is the best of all possible worlds. And pessimists fear that might really be the case. But what is the best of all possible worlds? How do we define it? Is it the world that operates the most efficiently? Or the one in which most people are comfortable and content? Questions such as these have preoccupied philosophers and theologians for ages, but there was a time, during the seventeenth and eighteenth centuries, when scientists and mathematicians felt they could provide the answer.

This book is their story. Ivar Ekeland here takes the reader on a journey through scientific attempts to envision the best of all possible worlds. He begins with the French physicist Maupertuis, whose least action principle asserted that everything in nature occurs in the way that requires the least possible action. This idea, Ekeland shows, was a pivotal breakthrough in mathematics, because it was the first expression of the concept of optimization, or the creation of systems that are the most efficient or functional. Although the least action principle was later elaborated on and overshadowed by the theories of Leonhard Euler and Gottfried Leibniz, the concept of optimization that emerged from it is an important one that touches virtually every scientific discipline today.

Tracing the profound impact of optimization and the unexpected ways in which it has influenced the study of mathematics, biology, economics, and even politics, Ekeland reveals throughout how the idea of optimization has driven some of our greatest intellectual breakthroughs. The result is a dazzling display of erudition--one that will be essential reading for popular-science buffs and historians of science alike.

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 2014 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 John Conway presents examples of arithmetical statements that are almost certainly true but likely unprovable; Carlo Séquin explores, compares, and illustrates distinct types of one-sided surfaces known as Klein bottles; Keith Devlin asks what makes a video game good for learning mathematics and shows why many games fall short of that goal; Jordan Ellenberg reports on a recent breakthrough in the study of prime numbers; Stephen Pollard argues that mathematical practice, thinking, and experience transcend the utilitarian value of mathematics; and much, much more.

In addition to presenting the year's most memorable writings on mathematics, this must-have anthology includes an introduction by 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 mathematics 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 2016 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 Burkard Polster shows how to invent your own variants of the Spot It! card game, Steven Strogatz presents young Albert Einstein's proof of the Pythagorean Theorem, Joseph Dauben and Marjorie Senechal find a treasure trove of math in New York's Metropolitan Museum of Art, and Andrew Gelman explains why much scientific research based on statistical testing is spurious. In other essays, Brian Greene discusses the evolving assumptions of the physicists who developed the mathematical underpinnings of string theory, Jorge Almeida examines the misperceptions of people who attempt to predict lottery results, and Ian Stewart offers advice to authors who aspire to write successful math books for general readers. And there's 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 2019 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 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.

In this volume, Moon Duchin explains how geometric-statistical methods can be used to combat gerrymandering, Jeremy Avigad illustrates the growing use of computation in making and verifying mathematical hypotheses, and Kokichi Sugihara describes how to construct geometrical objects with unusual visual properties. In other essays, Neil Sloane presents some recent additions to the vast database of integer sequences he has catalogued, and Alessandro Di Bucchianico and his colleagues highlight how mathematical methods have been successfully applied to big-data problems. 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 writings on mathematics.

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

From the cubit to the kilogram, the humble inch to the speed of light, measurement is a powerful tool that humans invented to make sense of the world. In this revelatory work of science and social history, James Vincent dives into its hidden world, taking readers from ancient Egypt, where measuring the annual depth of the Nile was an essential task, to the intellectual origins of the metric system in the French Revolution, and from the surprisingly animated rivalry between metric and imperial, to our current age of the "quantified self." At every turn, Vincent is keenly attuned to the political consequences of measurement, exploring how it has also been used as a tool for oppression and control.

Beyond Measure reveals how measurement is not only deeply entwined with our experience of the world, but also how its history encompasses and shapes the human quest for knowledge.

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.

The Biological Investigation of Sexuality and Anxiety is composed of three essential contributions from the period: "The Orgasm as an Electrophysical Discharge," "Sexuality and Anxiety" and "The Bioelectrical Function of Sexuality and Anxiety,"Reich's detailed report on the physiological experiments in which he sought proof for his orgasm theory.

A marvelously illustrated A-to-Z compendium of bird names from around the globe

The Bird Name Book is an alphabetical reference book on the origins and meanings of common group bird names, from "accentor" to "zeledonia." A cornucopia of engaging facts and anecdotes, this superbly researched compendium presents a wealth of incisive entries alongside stunning photos by the author and beautiful historic prints and watercolors. Myers provides brief biographies of prominent figures in ornithology--such as John Gould, John Latham, Alfred Newton, and Robert Ridgway--and goes on to describe the etymological history of every common group bird name found in standardized English. She interweaves the stories behind the names with quotes from publications dating back to the 1400s, illuminating the shared evolution of language and our relationships with birds, and rooting the names in the history of ornithological discovery.

Whether you are a well-traveled birder or have ever wondered how the birds in your backyard got their names, The Bird Name Book is an ideal companion.

Birds of Prey of the West and its companion volume, Birds of Prey of the East, are the most comprehensive and authoritative field guides to North American birds of prey ever published. Written and lavishly illustrated with stunning, lifelike paintings by leading field-guide illustrator, photographer, and author Brian Wheeler, the guides depict an enormous range of variations of age, sex, color, and plumage, and feature a significant amount of plumage data that has never been published before. The painted figures illustrate plumage and species comparisons in a classic field-guide layout. Each species is shown in the same posture and from the same viewpoint, which further assists comparisons. Facing-page text includes quick-reference identification points and brief natural history accounts that incorporate the latest information. The range maps are exceptionally accurate and much larger than those in other guides. They plot the most up-to-date distribution information for each species and include the location of cities for more accurate reference. Finally, the guides feature color habitat photographs next to the maps. The result sets a new standard for guides to North America's birds of prey.

What draws us to the beauty of a peacock, the flight of an eagle, or the song of a nightingale? Why are birds so significant in our lives and our sense of the world? And what do our ways of thinking about and experiencing birds tell us about ourselves? Birdscapes is a unique meditation on the variety of human responses to birds, from antiquity to today, and from casual observers to the globe-trotting "twitchers" who sometimes risk life, limb, and marriages simply to add new species to their "life lists."

Drawing extensively on literature, history, philosophy, and science, Jeremy Mynott puts his own experiences as a birdwatcher in a rich cultural context. His sources range from the familiar--Thoreau, Keats, Darwin, and Audubon--to the unexpected--Benjamin Franklin, Giacomo Puccini, Oscar Wilde, and Monty Python. Just as unusual are the extensive illustrations, which explore our perceptions and representations of birds through images such as national emblems, women's hats, professional sports logos, and a Christmas biscuit tin, as well as classics of bird art. Each chapter takes up a new theme--from rarity, beauty, and sound to conservation, naming, and symbolism--and is set in a new place, as Mynott travels from his "home patch" in Suffolk, England, to his "away patch" in New York City's Central Park, as well as to Russia, Australia, and Greece.

Conversational, playful, and witty, Birdscapes gently leads us to reflect on large questions about our relation to birds and the natural world. It encourages birders to see their pursuits in a broader human context--and it shows nonbirders what they may be missing.

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.