It hold the remains of an ancient sea where dozens of strange creatures lived—a forgotten corner of evolution preserved in awesome detail. In this book Stephen Jay Gould explores what the Burgess Shale tells us about evolution and the nature of history.

     In MATH WITH BAD DRAWINGS, Ben Orlin answers math's three big questions: Why do I need to learn this? When am I ever going to use it? Why is it so hard? The answers come in various forms-cartoons, drawings, jokes, and the stories and insights of an empathetic teacher who believes that math should belong to everyone.Eschewing the tired old curriculum that begins in the wading pool of addition and subtraction and progresses to the shark infested waters of calculus (AKA the Great Weed Out Course), Orlin instead shows us how to think like a mathematician by teaching us a new game of Tic-Tac-Toe, how to understand an economic crisis by rolling a pair of dice, and the mathematical reason why you should never buy a second lottery ticket. Every example in the book is illustrated with his trademark "bad drawings," which convey both his humor and his message with perfect pitch and clarity. Organized by unconventional but compelling topics such as "Statistics: The Fine Art of Honest Lying," "Design: The Geometry of Stuff That Works," and "Probability: The Mathematics of Maybe," MATH WITH BAD DRAWINGS is a perfect read for fans of illustrated popular science.

    Second printing of the paperback edition, with new cover.

    This essay by Copernicus (1473-1543), revolutionized the way we look at the earth's placement in the universe, and paved the way for many great scientists, including Galileo and Isaac Newton, whose theories stemmed from this model. Featuring a biography of Copernicus and an accessible, enlightening introduction, both written by the renowned physicist Stephen Hawking, On the Revolution of Heavenly Spheres provides a fascinating look at the theories which shaped our modern understanding of astronomy and physics.

    The Big Bang Cosmology is explored, looking at its observational successes in explaining the expansion of the Universe, the existence and properties of the cosmic microwave background, and the origin of light elements in the universe. Properties of the very early Universe are also covered, including the motivation for a rapid period of expansion known as cosmological inflation. The third edition brings this established undergraduate textbook up-to-date with the rapidly evolving observational situation. This fully revised edition of a bestseller takes an approach which is grounded in physics with a logical flow of chapters leading the reader from basic ideas of the expansion described by the Friedman equations to some of the more advanced ideas about the early universe. It also incorporates up-to-date results from the Planck mission, which imaged the anisotropies of the Cosmic Microwave Background radiation over the whole sky. The Advanced Topic sections present subjects with more detailed mathematical approaches to give greater depth to discussions. Student problems with hints for solving them and numerical answers are embedded in the chapters to facilitate the reader's understanding and learning. Cosmology is now part of the core in many degree programs. This current, clear and concise introductory text is relevant to a wide range of astronomy programs worldwide and is essential reading for undergraduates and Masters students, as well as anyone starting research in cosmology.

    Astrophysicist Adam Frank traces the question of alien life and intelligence from the ancient Greeks to the leading thinkers of our own time, and shows how we as a civilization can only hope to survive climate change if we recognize what science has recently discovered: that we are just one of ten billion trillion planets in the Universe, and it’s highly likely that many of those planets hosted technologically advanced alien civilizations. What’s more, each of those civilizations must have faced the same challenge of civilization-driven climate change.Written with great clarity and conviction, Light of the Stars builds on the inspiring work of pioneering scientists such as Frank Drake and Carl Sagan, whose work at the dawn of the space age began building the new science of astrobiology; Jack James, the Texas-born engineer who drove NASA’s first planetary missions to success; Vladimir Vernadsky, the Russian geochemist who first envisioned the Earth’s biosphere; and James Lovelock and Lynn Margulis, who invented Gaia theory. Frank recounts the perilous journey NASA undertook across millions of miles of deep space to get its probes to Venus and Mars, yielding our first view of the cosmic laws of planets and climate that changed our understanding of our place in the universe.Thrilling science at the grandest of scales, Light of the Stars explores what may be the largest question of all: What can the likely presence of life on other worlds tell us about our own fate?

    At the subatomic level, one particle seems to know what the others are doing, and according to Heisenberg's "uncertainty principle", there is a limit on how accurately nature can be observed. And yet the theory is amazingly accurate and widely applied, explaining all of chemistry and most of physics. "Introducing Quantum Theory" takes us on a step-by-step tour with the key figures, including Planck, Einstein, Bohr, Heisenberg and Schrodinger. Each contributed at least one crucial concept to the theory. The puzzle of the wave-particle duality is here, along with descriptions of the two questions raised against Bohr's "Copenhagen Interpretation" - the famous "dead and alive cat" and the EPR paradox. Both remain unresolved.

    The universe is all about extremes, and in this engaging and thought-provoking book, astronomer Bryan Gaensler gives a whirlwind tour of the galaxies, with an emphasis on its fastest, hottest, heaviest, brightest, oldest, densest, and even loudest elements. From supernova explosions a billion times brighter than the sun to an asteroid the size of a beach ball, Extreme Cosmos offers a fascinating, fresh, and informed perspective of the remarkable richness of the universe, and the incredible physics that modern astronomy has revealed.

    Although Einstein understood that black holes were mathematical solutions to his equations, he never accepted their physical reality--a viewpoint many shared. This all changed in the 1960s and 1970s, when a deeper conceptual understanding of black holes developed just as new observations revealed the existence of quasars and X-ray binary star systems, whose mysterious properties could be explained by the presence of black holes. Black holes have since been the subject of intense research--and the physics governing how they behave and affect their surroundings is stranger and more mind-bending than any fiction.After introducing the basics of the special and general theories of relativity, this book describes black holes both as astrophysical objects and theoretical "laboratories" in which physicists can test their understanding of gravitational, quantum, and thermal physics. From Schwarzschild black holes to rotating and colliding black holes, and from gravitational radiation to Hawking radiation and information loss, Steven Gubser and Frans Pretorius use creative thought experiments and analogies to explain their subject accessibly. They also describe the decades-long quest to observe the universe in gravitational waves, which recently resulted in the LIGO observatories' detection of the distinctive gravitational wave "chirp" of two colliding black holes--the first direct observation of black holes' existence.The Little Book of Black Holes takes readers deep into the mysterious heart of the subject, offering rare clarity of insight into the physics that makes black holes simple yet destructive manifestations of geometric destiny.

    One held that the entire universe was contained in the Milky Way galaxy. Their champion was the strong-willed astronomer Harlow Shapley. Another camp believed that the universe was so vast that the Milky Way was just one galaxy among billions—the view that would prevail, proven by the equally headstrong Edwin Hubble.Almost forgotten is the Harvard Observatory "computer"—a human number cruncher hired to calculate the positions and luminosities of stars in astronomical photographs—who found the key to the mystery. Radcliffe-educated Henrietta Swan Leavitt, fighting ill health and progressive deafness, stumbled upon a new law that allowed astronomers to use variable stars—those whose brightness rhythmically changes—as a cosmic yardstick. Miss Leavitt's Stars is both a masterly account of how we measure the universe and the moving story of a neglected genius

    She draws on conversations with hundreds of the world's top scientists and on her own work as a Pulitzer Prize-winning writer for the New York Times to create a thoroughly entertaining guide to scientific literacy. Angier's gifts are on full display in The Canon, an ebullient celebration of science that stands to become a classic. The Canon is vital reading for anyone who wants to understand the great issues of our time -- from stem cells and bird flu to evolution and global warming. And it's for every parent who has ever panicked when a child asked how the earth was formed or what electricity is. Angier's sparkling prose and memorable metaphors bring the science to life, reigniting our own childhood delight in discovering how the world works. "Of course you should know about science," writes Angier, "for the same reason Dr. Seuss counsels his readers to sing with a Ying or play Ring the Gack: These things are fun and fun is good." The Canon is a joyride through the major scientific disciplines: physics, chemistry, biology, geology, and astronomy. Along the way, we learn what is actually happening when our ice cream melts or our coffee gets cold, what our liver cells do when we eat a caramel, why the horse is an example of evolution at work, and how we're all really made of stardust. It's Lewis Carroll meets Lewis Thomas -- a book that will enrapture, inspire, and enlighten.

    Amir Aczel, critically acclaimed author of Fermat's Last Theorem, takes us into the heart of science's greatest mystery. In January 1998, astronomers found evidence that the cosmos is expanding at an ever-increasing rate. The way we perceive the universe was changed forever. The most compelling theory cosmologists could find to explain this phenomenon was Einstein's cosmological constant, a theory he conceived--and rejected---over eighty years ago. Drawing on newly discovered letters of Einstein--many translated here for the first time--years of research, and interviews with prominent mathematicians, cosmologists, physicists, and astronomers, Aczel takes us on a fascinating journey into "the strange geometry of space-time," and into the mind of a genius. Here the unthinkable becomes real: an infinite, ever-expanding, ever-accelerating universe whose only absolute is the speed of light. Awesome in scope, thrilling in detail, God's Equation is storytelling at its finest.

    Based on a National Magazine Award-winning article, this masterful biography of Hungarian-born Paul Erdos is both a vivid portrait of an eccentric genius and a layman's guide to some of this century's most startling mathematical discoveries.

    Bell, a leading figure in mathematics in America for half a century. Men of Mathematics accessibly explains the major mathematics, from the geometry of the Greeks through Newton's calculus and on to the laws of probability, symbolic logic, and the fourth dimension. In addition, the book goes beyond pure mathematics to present a series of engrossing biographies of the great mathematicians -- an extraordinary number of whom lived bizarre or unusual lives. Finally, Men of Mathematics is also a history of ideas, tracing the majestic development of mathematical thought from ancient times to the twentieth century. This enduring work's clear, often humorous way of dealing with complex ideas makes it an ideal book for the non-mathematician.

    His contributions to our current understanding of the universe include a number of novel ideas, two of which—eternal cosmic inflation and the quantum creation of the universe from nothing—have provided a scientific foundation for the possible existence of multiple universes.With this book—his first for the general reader—Vilenkin joins another select group: the handful of first-rank scientists who are equally adept at explaining their work to nonspecialists. With engaging, well-paced storytelling, a droll sense of humor, and a generous sprinkling of helpful cartoons, he conjures up a bizarre and fascinating new worldview that—to paraphrase Niels Bohr—just might be crazy enough to be true.