Highlights of the book include realistic problems and examples from a wide range of application areas. New to this edition are: much sharper pedagogy; an increase in the number of examples; more thorough development of the concepts; a greater range of homework problems; a greater number and variety of worked out examples; expanded coverage of dynamics modelling and Laplace transform topics; and integration of MATLAB, including many examples that are formatted in MATLAB.

    This work includes differential forms and the elegant forms of Maxwell's equations, and a chapter on probability and statistics. It also illustrates and proves mathematical relations.

    "A masterpiece of science."—Werner von Braun.

    Here is an altogether new, refreshing, alternative history of math revealing how simple questions anyone might ask about space -- in the living room or in some other galaxy -- have been the hidden engine of the highest achievements in science and technology. Based on Mlodinow's extensive historical research; his studies alongside colleagues such as Richard Feynman and Kip Thorne; and interviews with leading physicists and mathematicians such as Murray Gell-Mann, Edward Witten, and Brian Greene, Euclid's Window is an extraordinary blend of rigorous, authoritative investigation and accessible, good-humored storytelling that makes a stunningly original argument asserting the primacy of geometry. For those who have looked through Euclid's Window, no space, no thing, and no time will ever be quite the same.

    Now he makes the case that living on Mars is not just plausible, but inevitable.It sounds like science fiction, but Stephen Petranek considers it fact: Within twenty years, humans will live on Mars. We'll need to. In this sweeping, provocative book that mixes business, science, and human reporting, Petranek makes the case that living on Mars is an essential back-up plan for humanity and explains in fascinating detail just how it will happen.The race is on. Private companies, driven by iconoclastic entrepreneurs, such as Elon Musk, Jeff Bezos, Paul Allen, and Sir Richard Branson; Dutch reality show and space mission Mars One; NASA; and the Chinese government are among the many groups competing to plant the first stake on Mars and open the door for human habitation. Why go to Mars? Life on Mars has potential life-saving possibilities for everyone on earth. Depleting water supplies, overwhelming climate change, and a host of other disasters — from terrorist attacks to meteor strikes — all loom large. We must become a space-faring species to survive. We have the technology not only to get humans to Mars, but to convert Mars into another habitable planet. It will likely take 300 years to "terraform" Mars, as the jargon goes, but we can turn it into a veritable second Garden of Eden. And we can live there, in specially designed habitations, within the next twenty years.In this exciting chronicle, Petranek introduces the circus of lively characters all engaged in a dramatic effort to be the first to settle the Red Planet. How We'll Live on Mars brings firsthand reporting, interviews with key participants, and extensive research to bear on the question of how we can expect to see life on Mars within the next twenty years.

    From the emergence of life at deep-sea vents to solar-powered starships sailing through the galaxy, from the Big Bang to the intricacies of intelligence in many life forms, acclaimed author Ann Druyan documents where humanity has been and where it is going, using her unique gift of bringing complex scientific concepts to life. With evocative photographs and vivid illustrations, she recounts momentous discoveries, from the Voyager missions in which she and her husband, Carl Sagan, participated to Cassini-Huygens's recent insights into Saturn's moons. This breathtaking sequel to Sagan's masterpiece explains how we humans can glean a new understanding of consciousness here on Earth and out in the cosmos--again reminding us that our planet is a pale blue dot in an immense universe of possibility.

    As recounted by Ben Rich, the operation's brilliant boss for nearly two decades, the chronicle of Lockheed's legendary Skunk Works is a drama of cold war confrontations and Gulf War air combat, of extraordinary feats of engineering & achievement against fantastic odds. Here are up-close portraits of the maverick band of scientists & engineers who made the Skunk Works so renowned. Filled with telling personal anecdotes & high adventure, with narratives from the CIA & from Air Force pilots who flew the many classified, risky missions, this book is a portrait of the most spectacular aviation triumphs of the 20th century.

    Witty and accessible, Paul Lockhart’s controversial approach will provoke spirited debate among educators and parents alike and it will alter the way we think about math forever.Paul Lockhart, has taught mathematics at Brown University and UC Santa Cruz. Since 2000, he has dedicated himself to K-12 level students at St. Ann’s School in Brooklyn, New York.

    The book begins with the basic concepts of logic and set theory, to familiarize students with the language of mathematics and how it is interpreted. These concepts are used as the basis for a step-by-step breakdown of the most important techniques used in constructing proofs. To help students construct their own proofs, this new edition contains over 200 new exercises, selected solutions, and an introduction to Proof Designer software. No background beyond standard high school mathematics is assumed. Previous Edition Hb (1994) 0-521-44116-1 Previous Edition Pb (1994) 0-521-44663-5

    Subsequent sections deal with integrating factors; dilution and accretion problems; linearization of first order systems; Laplace Transforms; Newton's Interpolation Formulas, more.

    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?

    He had eighty seconds to exceed the speed of sound and begin the climb to a target no civilian pilot had ever reached. There was a chance he would not come back alive. If he did, he would make history as the world’s first commercial astronaut. The spectacle defied reason, the result of an improbable contest dreamed up by entrepreneur Peter Diamandis, whose vision for a new race to space – requiring small teams to do what only the world’s largest governments had done before – had been dismissed as fantastical. The tale begins in Mount Vernon, N.Y. Diamandis was the son of hard working Greek immigrants who wanted their science prodigy to do the family proud and become a doctor. Peter was a dutiful son, but from the time he was eight years old, staying up late to watch Apollo 11 land on the moon, he had one goal: getting to space. He started a national student space club while at MIT. He launched a rocket company in Houston while getting a medical degree from Harvard - a degree he pursued to improve his chances of becoming an astronaut. But when he realized NASA was winding down manned space flight, Diamandis set out on one of the great entrepreneurial adventure stories of our time. If the government wouldn’t send him to space, he would create a private spaceflight industry and get there himself.In the 1990s, the idea of private space flight was the stuff of science fiction. The undaunted Diamandis found inspiration in an unlikely place: the first golden age of aviation. Reading Charles Lindbergh’s The Spirit of St. Louis, Diamandis was stunned that the aviator had attempted the first transatlantic flight from New York to Paris to win a $25,000 prize. The historic flight galvanized the commercial airline industry. Why, Diamandis thought, couldn’t a similar contest be held for space flight? In 1996, standing under the arch of St. Louis – the city where Lindbergh found his backers - Diamandis announced the $10 million Xprize. To win, a privately funded team would have to build and fly a manned rocket into space twice – in two weeks. The deadline: December 31, 2004.   On a brilliant morning in the Mojave Desert, with little time to spare, a bullet-shaped rocket called SpaceShipOne was launched. The story of SS1, and other scrappy teams in the hunt – all spurred by Diamandis as he struggled to keep the prize afloat – became a testament to the American spirit of ingenuity and oversized dreams. The winning of the Xprize marked the end of the government’s monopoly over space.   Julian Guthrie, author of The Billionaire and The Mechanic, an acclaimed bestselling account of Oracle CEO Larry Ellison’s pursuit of the America’s Cup, thought she knew about obsessive pursuits, but the XPrize race spurred another level of drama, sacrifice, and technical wizardry. With Diamandis’ cooperation, Guthrie had access to all of the players – from Richard Branson and John Carmack to Burt Rutan – and has melded their stories into a spellbinding narrative, a combination of Rocket Boys and The New New Thing. In the end, as Diamandis dreamed, the result wasn’t just a victory for one team; it was the foundation for a new industry, including SpaceX, Virgin Galactic, Blue Origin and others. Today, SpaceShipOne hangs in the Smithsonian’s Air and Space Museum, above the Apollo 11 capsule and next to Lindbergh’s Spirit of St. Louis plane.

    On the 25th anniversary of its launch into low-earth orbit, TASCHEN celebrates its most breathtaking deep space images both as scientific feats and as photographic masterpieces. Ultra high-resolution and taken with almost no background light, these pictures have answered some of the most compelling questions of time and space, while also revealing new mysteries, like the strange “dark energy” that sees the universe expanding at an ever-accelerated rate. In generous square format with several foldouts, the pictures mesmerize in their iridescent colors, intricate textures, and vast, fragile forms.The collection is accompanied by an essay from photography critic Owen Edwards and an interview with Zoltan Levay, who explains how the pictures are composed. Veteran Hubble astronauts Charles F. Bolden, Jr. and John Mace Grunsfeld also offer their insights on Hubble’s legacy and future space exploration.

    A project of CERN, the European Organization for Nuclear Research, its audacious purpose is to re-create, in a 16.5-mile-long circular tunnel under the French-Swiss countryside, the immensely hot and dense conditions that existed some 13.7 billion years ago within the first trillionth of a second after the fiery birth of our universe. The collider is now crashing protons at record energy levels never created by scientists before, and it will reach even higher levels by 2013. Its superconducting magnets guide two beams of protons in opposite directions around the track. After accelerating the beams to 99.9999991 percent of the speed of light, it collides the protons head-on, annihilating them in a flash of energy sufficient—in accordance with Einstein’s elegant statement of mass-energy equivalence, E=mc2—to coalesce into a shower of particles and phenomena that have not existed since the first moments of creation. Within the LHC’s detectors, scientists hope to see empirical confirmation of key theories in physics and cosmology.In telling the story of what is perhaps the most anticipated experiment in the history of science, Amir D. Aczel takes us inside the control rooms at CERN at key moments when an international team of top researchers begins to discover whether this multibillion-euro investment will fulfill its spectacular promise. Through the eyes and words of the men and women who conceived and built CERN and the LHC—and with the same clarity and depth of knowledge he demonstrated in the bestselling Fermat’s Last Theorem—Aczel enriches all of us with a firm grounding in the scientific concepts we will need to appreciate the discoveries that will almost certainly spring forth when the full power of this great machine is finally unleashed.Will the Higgs boson make its breathlessly awaited appearance, confirming at last the Standard Model of particles and their interactions that is among the great theoretical achievements of twentieth-century physics? Will the hidden dimensions posited by string theory be revealed? Will we at last identify the nature of the dark matter that makes up more than 90 percent of the cosmos? With Present at the Creation, written by one of today’s finest popular interpreters of basic science, we can all follow the progress of an experiment that promises to greatly satisfy the curiosity of anyone who ever concurred with Einstein when he said, “I want to know God’s thoughts—the rest is details.”

    Intended for undergraduate students with foundation skills in mathematics and a deep interest in physics, it systematically lays out the principles of mechanics: vectors, Newton's laws, momentum, energy, rotational motion, angular momentum and noninertial systems, and includes chapters on central force motion, the harmonic oscillator, and relativity. Numerous worked examples demonstrate how the principles can be applied to a wide range of physical situations, and more than 600 figures illustrate methods for approaching physical problems. The book also contains over 200 challenging problems to help the student develop a strong understanding of the subject. Password-protected solutions are available for instructors at www.cambridge.org/9780521198219.