Princeton Science Library – serie

A landmark account of the dynamics of living systems and the methods for studying themRandom Walks in Biology provides a lucid, straightforward introduction to the concepts and techniques of statistical physics that students of biology, biochemistry, and biophysics must know. Howard Berg offers an essential foundation for understanding random motions of molecules, subcellular particles, and cells as well as the processes that are affected by such motions. Using the concept of “random walks” of individual particles, Berg illuminates the physics involved in diffusion, sedimentation, electrophoresis, chromatography, and cell motility. With an engaging foreword by theoretical biophysicist William Bialek, this Princeton Science Library edition can serve as a supplementary text for courses on biochemistry, molecular biology, biomechanics, physiology, biophysics, and physical chemistry. It is also an ideal reference volume.

Einstein said that the most incomprehensible thing about the universe is that it is comprehensible. But was he right? Can the quantum theory of fields and Einstein's general theory of relativity, the two most accurate and successful theories in all of physics, be united into a single quantum theory of gravity? Can quantum and cosmos ever be combined? In The Nature of Space and Time, two of the world's most famous physicists--Stephen Hawking (A Brief History of Time) and Roger Penrose (The Road to Reality)--debate these questions. The authors outline how their positions have further diverged on a number of key issues, including the spatial geometry of the universe, inflationary versus cyclic theories of the cosmos, and the black-hole information-loss paradox. Though much progress has been made, Hawking and Penrose stress that physicists still have further to go in their quest for a quantum theory of gravity.

The remarkable scientific story of how Earth became an oxygenated planetThe air we breathe is twenty-one percent oxygen, an amount higher than on any other known world. While we may take our air for granted, Earth was not always an oxygenated planet. How did it come to be this way? Donald Canfield covers this vast history, emphasizing its relationship to the evolution of life and the evolving chemistry of Earth. He guides readers through the various lines of scientific evidence, considers some of the wrong turns and dead ends along the way, and highlights the scientists and researchers who have made key discoveries in the field. Now with an incisive new preface by the author, Oxygen takes readers on an astonishing journey of discovery, telling the story of how our planet became oxygenated.

Geerat Vermeij wrote this "celebration of shells" to share his enthusiasm for those supremely elegant creations and what they can teach us about nature. Most popular books on shells emphasize the identification of species, but Vermeij uses shells as a way to explore major ideas in biology. How are shells built? How do they work? How did they evolve? The author lucidly and charmingly demonstrates how shells give us insights into the lives of animals in our own day as well as in the distant geological past.

Celestial Encounters is for anyone who has ever wondered about the foundations of chaos. In 1888, the 34-year-old Henri Poincare submitted a paper that was to change the course of science, but not before it underwent significant changes itself. "The Three-Body Problem and the Equations of Dynamics" won a prize sponsored by King Oscar II of Sweden and Norway and the journal Acta Mathematica, but after accepting the prize, Poincare found a serious mistake in his work. While correcting it, he discovered the phenomenon of chaos. Starting with the story of Poincare's work, Florin Diacu and Philip Holmes trace the history of attempts to solve the problems of celestial mechanics first posed in Isaac Newton's Principia in 1686. In describing how mathematical rigor was brought to bear on one of our oldest fascinations--the motions of the heavens--they introduce the people whose ideas led to the flourishing field now called nonlinear dynamics. In presenting the modern theory of dynamical systems, the models underlying much of modern science are described pictorially, using the geometrical language invented by Poincare.More generally, the authors reflect on mathematical creativity and the roles that chance encounters, politics, and circumstance play in it.

How do scientists look at chance, or randomness, and chaos in physical systems? This book answers this question for a general audience.

What is so special about the number 30? How many colors are needed to color a map? Do the prime numbers go on forever? Are there more whole numbers than even numbers? These and other mathematical puzzles are explored in this delightful book by two eminent mathematicians. Requiring no more background than plane geometry and elementary algebra, this book leads the reader into some of the most fundamental ideas of mathematics, the ideas that make the subject exciting and interesting. Explaining clearly how each problem has arisen and, in some cases, resolved, Hans Rademacher and Otto Toeplitz's deep curiosity for the subject and their outstanding pedagogical talents shine through.

Animals do have culture, maintains this delightfully illustrated and provocative book, which cites a number of fascinating instances of animal communication and learning. John Bonner traces the origins of culture back to the early biological evolution of animals and provides examples of five categories of behavior leading to nonhuman culture: physical dexterity, relations with other species, auditory communication within a species, geographic locations, and inventions or innovations. Defining culture as the transmission of information by behavioral rather than genetical means, he demonstrates the continuum between the traits we find in animals and those we often consider uniquely human.

In nine essays and lectures composed in the last years of his life, Werner Heisenberg offers a bold appraisal of the scientific method in the twentieth century--and relates its philosophical impact on contemporary society and science to the particulars of molecular biology, astrophysics, and related disciplines. Are the problems we define and pursue freely chosen according to our conscious interests? Or does the historical process itself determine which phenomena merit examination at any one time? Heisenberg discusses these issues in the most far-ranging philosophical terms, while illustrating them with specific examples.

J.B.S. Haldane (1892-1964), one of the founders of the science of population genetics, was also one of the greatest practitioners of the art of explaining science to the layperson. Haldane was a superb story-teller, as his essays and his children's books attest. In The Causes of Evolution he not only helped to marry the new science of genetics to the older one of evolutionary theory but also provided an accessible introduction to the genetical basis of evolution by natural selection. Egbert Leigh's new introduction to this classic work places it in the context of the ongoing study of evolution. Describing Haldane's refusal to be confined by a "System" as a "light-hearted" one, Leigh points out that we are now finding that "Haldane's questions are the appropriate next stage in learning how adaptation can evolve. We are now ready to reap the benefit of the fact that Haldane was a free man in the sense that really matters."

Inspiring popular video games like Tetris while contributing to the study of combinatorial geometry and tiling theory, polyominoes have continued to spark interest ever since their inventor, Solomon Golomb, introduced them to puzzle enthusiasts several decades ago. In this fully revised and expanded edition of his landmark book, the author takes a new generation of readers on a mathematical journey into the world of the deceptively simple polyomino. Golomb incorporates important, recent developments, and poses problems, inviting the reader to play with and develop an understanding of the extraordinary properties of polyominoes.

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.

Intended for all readers--including magicians, detectives, musicians, orthopedic surgeons, and anthropologists--this book offers a thorough account of that most intriguing and most human of appendages: the hand. In this illustrated work, John Napier explores a wide range of absorbing subjects such as fingerprints, handedness, gestures, fossil remains, and the making and using of tools.

Using game theory and examples of actual games people play, Nobel laureate Manfred Eigen and Ruthild Winkler show how the elements of chance and rules underlie all that happens in the universe, from genetic behavior through economic growth to the composition of music. To illustrate their argument, the authors turn to classic games--backgammon, bridge, and chess--and relate them to physical, biological, and social applications of probability theory and number theory. Further, they have invented, and present here, more than a dozen playable games derived from scientific models for equilibrium, selection, growth, and even the composition of RNA.

Over the past thirty-five years, there has been an explosive increase in scientists' ability to explain the structure and functioning of the human brain. While psychology has advanced our understanding of human behavior, various other sciences, such as anatomy, physiology, and biology, have determined the critical importance of synapses and, through the use of advanced technology, made it possible actually to see brain cells at work within the skull's walls. Here Jean-Pierre Changeux elucidates our current knowledge of the human brain, taking an interdisciplinary approach and explaining in layman's terms the complex theories and scientific breakthroughs that have significantly improved our understanding in the twentieth century.

Some of the most exciting scientific developments in recent years have come not from theoretical physicists, astronomers, or molecular biologists but instead from the chemistry lab. Chemists have created superconducting ceramics for brain scanners, designed liquid crystal flat screens for televisions and watch displays, and made fabrics that change color while you wear them. They have fashioned metals from plastics, drugs from crude oil, and have pinpointed the chemical pollutants affecting our atmosphere and are now searching for remedies for the imperiled planet. Philip Ball, an editor for the prestigious magazine Nature, lets the lay reader into the world of modern chemistry. Here, for example, chemists find new uses for the improbable buckminsterfullerene molecules--60-atom carbon soccerballs, dubbed "buckyballs"--which seem to have applications for everything from lubrication to medicine to electronics.The book is not intended as an introduction to chemistry, but as an accessible survey of recent developments throughout many of the major fields allied with chemistry: from research in traditional areas such as crystallography and spectroscopy to entirely new fields of study such as molecular electronics, artificial enzymes, and "smart" polymer gels. Ball's grand tour along the leading edge of scientific discovery will appeal to all curious readers, with or without any scientific training, to chemistry students looking for future careers, and to practicing chemical researchers looking for information on other specialties within their discipline.

What is life? Is it just the biologically familiar--birds, trees, snails, people--or is it an infinitely complex set of patterns that a computer could simulate? What role does intelligence play in separating the organic from the inorganic, the living from the inert? Does life evolve along a predestined path, or does it suddenly emerge from what appeared lifeless and programmatic? In this easily accessible and wide-ranging survey, Claus Emmeche outlines many of the challenges and controversies involved in the dynamic and curious science of artificial life. Emmeche describes the work being done by an international network of biologists, computer scientists, and physicists who are using computers to study life as it could be, or as it might evolve under conditions different from those on earth. Many artificial-life researchers believe that they can create new life in the computer by simulating the processes observed in traditional, biological life-forms. The flight of a flock of birds, for example, can be reproduced faithfully and in all its complexity by a relatively simple computer program that is designed to generate electronic "boids." Are these "boids" then alive?The central problem, Emmeche notes, lies in defining the salient differences between biological life and computer simulations of its processes. And yet, if we can breathe life into a computer, what might this mean for our other assumptions about what it means to be alive? The Garden in the Machine touches on every aspect of this complex and rapidly developing discipline, including its connections to artificial intelligence, chaos theory, computational theory, and studies of emergence. Drawing on the most current work in the field, this book is a major overview of artificial life. Professionals and nonscientists alike will find it an invaluable guide to concepts and technologies that may forever change our definition of life.

Fifty years ago when Jacques Hadamard set out to explore how mathematicians invent new ideas, he considered the creative experiences of some of the greatest thinkers of his generation, such as George Polya, Claude Levi-Strauss, and Albert Einstein. It appeared that inspiration could strike anytime, particularly after an individual had worked hard on a problem for days and then turned attention to another activity. In exploring this phenomenon, Hadamard produced one of the most famous and cogent cases for the existence of unconscious mental processes in mathematical invention and other forms of creativity. Written before the explosion of research in computers and cognitive science, his book, originally titled The Psychology of Invention in the Mathematical Field, remains an important tool for exploring the increasingly complex problem of mental life. The roots of creativity for Hadamard lie not in consciousness, but in the long unconscious work of incubation, and in the unconscious aesthetic selection of ideas that thereby pass into consciousness.His discussion of this process comprises a wide range of topics, including the use of mental images or symbols, visualized or auditory words, "meaningless" words, logic, and intuition. Among the important documents collected is a letter from Albert Einstein analyzing his own mechanism of thought.

Astronomers believe that a supernova is a massive explosion signaling the death of a star, causing a cosmic recycling of the chemical elements and leaving behind a pulsar, black hole, or nothing at all. In an engaging story of the life cycles of stars, Laurence Marschall tells how early astronomers identified supernovae, and how later scientists came to their current understanding, piecing together observations and historical accounts to form a theory, which was tested by intensive study of SN 1987A, the brightest supernova since 1006. He has revised and updated The Supernova Story to include all the latest developments concerning SN 1987A, which astronomers still watch for possible aftershocks, as well as SN 1993J, the spectacular new event in the cosmic laboratory.

How is our fate linked to the earth's creatures, and the cycle of flourishing and extinction? Does human activity accelerate extinction? And what really causes it? This account of the widespread reduction of the world's wildlife examines humankind's role in the larger life cycles of the earth, composing a provocative general theory of extinction.

When the volcano Tambora erupted in Indonesia in 1815, as many as 100,000 people perished as a result of the blast and an ensuing famine caused by the destruction of rice fields on Sumbawa and neighboring islands. Gases and dust particles ejected into the atmosphere changed weather patterns around the world, resulting in the infamous "year without a summer" in North America, food riots in Europe, and a widespread cholera epidemic. And the gloomy weather inspired Mary Shelley to write the gothic novel Frankenstein. This book tells the story of nine such epic volcanic events, explaining the related geology for the general reader and exploring the myriad ways in which the earth's volcanism has affected human history. Zeilinga de Boer and Sanders describe in depth how volcanic activity has had long-lasting effects on societies, cultures, and the environment. After introducing the origins and mechanisms of volcanism, the authors draw on ancient as well as modern accounts--from folklore to poetry and from philosophy to literature.Beginning with the Bronze Age eruption that caused the demise of Minoan Crete, the book tells the human and geological stories of eruptions of such volcanoes as Vesuvius, Krakatau, Mount Pelee, and Tristan da Cunha. Along the way, it shows how volcanism shaped religion in Hawaii, permeated Icelandic mythology and literature, caused widespread population migrations, and spurred scientific discovery. From the prodigious eruption of Thera more than 3,600 years ago to the relative burp of Mount St. Helens in 1980, the results of volcanism attest to the enduring connections between geology and human destiny.

On November 1, 1755--All Saints' Day--a massive earthquake struck Europe's Iberian Peninsula and destroyed the city of Lisbon. Churches collapsed upon thousands of worshippers celebrating the holy day. Earthquakes in Human History tells the story of that calamity and other epic earthquakes. The authors, Jelle Zeilinga de Boer and Donald Theodore Sanders, recapture the power of their previous book, Volcanoes in Human History. They vividly explain the geological processes responsible for earthquakes, and they describe how these events have had long-lasting aftereffects on human societies and cultures. Their accounts are enlivened with quotations from contemporary literature and from later reports. In the chaos following the Lisbon quake, government and church leaders vied for control. The Marques de Pombal rose to power and became a virtual dictator. As a result, the Roman Catholic Jesuit Order lost much of its influence in Portugal. Voltaire wrote his satirical work Candide to refute the philosophy of "optimism," the belief that God had created a perfect world. And the 1755 earthquake sparked the search for a scientific understanding of natural disasters.Ranging from an examination of temblors mentioned in the Bible, to a richly detailed account of the 1906 catastrophe in San Francisco, to Japan's Great Kanto Earthquake of 1923, to the Peruvian earthquake in 1970 (the Western Hemisphere's greatest natural disaster), this book is an unequaled testament to a natural phenomenon that can be not only terrifying but also threatening to humankind's fragile existence, always at risk because of destructive powers beyond our control.

By any measure, the Pythagorean theorem is the most famous statement in all of mathematics. In this book, Eli Maor reveals the full story of this ubiquitous geometric theorem. Maor shows that the theorem, although attributed to Pythagoras, was known to the Babylonians more than a thousand years earlier. Pythagoras may have been the first to prove it, but his proof - if indeed he had one - is lost to us. The theorem itself, however, is central to almost every branch of science, pure or applied. Maor brings to life many of the characters that played a role in the development of the Pythagorean theorem, providing a fascinating backdrop to perhaps our oldest enduring mathematical legacy.

Trigonometry has always been an underappreciated branch of mathematics. It has a reputation as a dry and difficult subject, a glorified form of geometry complicated by tedious computation. In this book, Eli Maor draws on his remarkable talents as a guide to the world of numbers to dispel that view. Rejecting the usual arid descriptions of sine, cosine, and their trigonometric relatives, he brings the subject to life in a compelling blend of history, biography, and mathematics. He presents both a survey of the main elements of trigonometry and a unique account of its vital contribution to science and social development. Woven together in a tapestry of entertaining stories, scientific curiosities, and educational insights, the book more than lives up to the title Trigonometric Delights. Maor, whose previous books have demystified the concept of infinity and the unusual number "e," begins by examining the "proto-trigonometry" of the Egyptian pyramid builders. He shows how Greek astronomers developed the first true trigonometry.He traces the slow emergence of modern, analytical trigonometry, recounting its colorful origins in Renaissance Europe's quest for more accurate artillery, more precise clocks, and more pleasing musical instruments. Along the way, we see trigonometry at work in, for example, the struggle of the famous mapmaker Gerardus Mercator to represent the curved earth on a flat sheet of paper; we see how M. C. Escher used geometric progressions in his art; and we learn how the toy Spirograph uses epicycles and hypocycles. Maor also sketches the lives of some of the intriguing figures who have shaped four thousand years of trigonometric history. We meet, for instance, the Renaissance scholar Regiomontanus, who is rumored to have been poisoned for insulting a colleague, and Maria Agnesi, an eighteenth-century Italian genius who gave up mathematics to work with the poor--but not before she investigated a special curve that, due to mistranslation, bears the unfortunate name "the witch of Agnesi." The book is richly illustrated, including rare prints from the author's own collection. Trigonometric Delights will change forever our view of a once dreaded subject.

On October 23, 1852, Professor Augustus De Morgan wrote a letter to a colleague, unaware that he was launching one of the most famous mathematical conundrums in history--one that would confound thousands of puzzlers for more than a century. This is the amazing story of how the "map problem" was solved. The problem posed in the letter came from a former student: What is the least possible number of colors needed to fill in any map (real or invented) so that neighboring counties are always colored differently? This deceptively simple question was of minimal interest to cartographers, who saw little need to limit how many colors they used. But the problem set off a frenzy among professional mathematicians and amateur problem solvers, among them Lewis Carroll, an astronomer, a botanist, an obsessive golfer, the Bishop of London, a man who set his watch only once a year, a California traffic cop, and a bridegroom who spent his honeymoon coloring maps. In their pursuit of the solution, mathematicians painted maps on doughnuts and horseshoes and played with patterned soccer balls and the great rhombicuboctahedron.It would be more than one hundred years (and countless colored maps) later before the result was finally established. Even then, difficult questions remained, and the intricate solution--which involved no fewer than 1,200 hours of computer time--was greeted with as much dismay as enthusiasm. Providing a clear and elegant explanation of the problem and the proof, Robin Wilson tells how a seemingly innocuous question baffled great minds and stimulated exciting mathematics with far-flung applications. This is the entertaining story of those who failed to prove, and those who ultimately did prove, that four colors do indeed suffice to color any map. This new edition features many color illustrations. It also includes a new foreword by Ian Stewart on the importance of the map problem and how it was solved.

In the 1990s Richard B. Alley and his colleagues made headlines with the discovery that the last ice age came to an abrupt end over a period of only three years. In The Two-Mile Time Machine, Alley tells the fascinating history of global climate changes as revealed by reading the annual rings of ice from cores drilled in Greenland. He explains that humans have experienced an unusually temperate climate compared to the wild fluctuations that characterized most of prehistory. He warns that our comfortable environment could come to an end in a matter of years and tells us what we need to know in order to understand and perhaps overcome climate changes in the future. In a new preface, the author weighs in on whether our understanding of global climate change has altered in the years since the book was first published, what the latest research tells us, and what he is working on next.