We often overlook the historical link between mathematics and technological advances, says Stewart—but this connection is integral to any complete understanding of human history.Equations are modeled on the patterns we find in the world around us, says Stewart, and it is through equations that we are able to make sense of, and in turn influence, our world. Stewart locates the origins of each equation he presents—from Pythagoras's Theorem to Newton's Law of Gravity to Einstein's Theory of Relativity—within a particular historical moment, elucidating the development of mathematical and philosophical thought necessary for each equation's discovery. None of these equations emerged in a vacuum, Stewart shows; each drew, in some way, on past equations and the thinking of the day. In turn, all of these equations paved the way for major developments in mathematics, science, philosophy, and technology. Without logarithms (invented in the early 17th century by John Napier and improved by Henry Briggs), scientists would not have been able to calculate the movement of the planets, and mathematicians would not have been able to develop fractal geometry. The Wave Equation is one of the most important equations in physics, and is crucial for engineers studying the vibrations in vehicles and the response of buildings to earthquakes. And the equation at the heart of Information Theory, devised by Claude Shannon, is the basis of digital communication today.An approachable and informative guide to the equations upon which nearly every aspect of scientific and mathematical understanding depends, In Pursuit of the Unknown is also a reminder that equations have profoundly influenced our thinking and continue to make possible many of the advances that we take for granted.

    Taking us on a journey through every fundamental field of science, as well as the history of civilization, art, moral values, and the theory of political institutions, Deutsch tracks how we form new explanations and drop bad ones, explaining the conditions under which progress—which he argues is potentially boundless—can and cannot happen. Hugely ambitious and highly original, The Beginning of Infinity explores and establishes deep connections between the laws of nature, the human condition, knowledge, and the possibility for progress.

    In his classic The Age of Spiritual Machines, he argued that computers would soon rival the full range of human intelligence at its best. Now he examines the next step in this inexorable evolutionary process: the union of human and machine, in which the knowledge and skills embedded in our brains will be combined with the vastly greater capacity, speed, and knowledge-sharing ability of our creations.

     Where are we? Who are we? Are our emotions, our beliefs, and our hopes and dreams ultimately meaningless out there in the void? Does human purpose and meaning fit into a scientific worldview?In short chapters filled with intriguing historical anecdotes, personal asides, and rigorous exposition, readers learn the difference between how the world works at the quantum level, the cosmic level, and the human level--and then how each connects to the other.  Carroll's presentation of the principles that have guided the scientific revolution from Darwin and Einstein to the origins of life, consciousness, and the universe is dazzlingly unique.Carroll shows how an avalanche of discoveries in the past few hundred years has changed our world and what really matters to us. Our lives are dwarfed like never before by the immensity of space and time, but they are redeemed by our capacity to comprehend it and give it meaning.The Big Picture is an unprecedented scientific worldview, a tour de force that will sit on shelves alongside the works of Stephen Hawking, Carl Sagan, Daniel Dennett, and E. O. Wilson for years to come.

    He shows that the scientists of ancient and medieval times not only did not understand what we understand about the world—they did not understand what there is to understand, or how to understand it. Yet over the centuries, through the struggle to solve such mysteries as the curious backward movement of the planets and the rise and fall of the tides, the modern discipline of science eventually emerged. Along the way, Weinberg examines historic clashes and collaborations between science and the competing spheres of religion, technology, poetry, mathematics, and philosophy.An illuminating exploration of the way we consider and analyze the world around us, To Explain the World is a sweeping, ambitious account of how difficult it was to discover the goals and methods of modern science, and the impact of this discovery on human knowledge and development.

    In Helgoland, he examines the enduring enigma of quantum theory. The quantum world Rovelli describes is as beautiful as it is unnerving.Helgoland is a treeless island in the North Sea where the twenty-three-year-old Werner Heisenberg made the crucial breakthrough for the creation of quantum mechanics, setting off a century of scientific revolution. Full of alarming ideas (ghost waves, distant objects that seem to be magically connected, cats that appear both dead and alive), quantum physics has led to countless discoveries and technological advancements. Today our understanding of the world is based on this theory, yet it is still profoundly mysterious.As scientists and philosophers continue to fiercely debate the meaning of the theory, Rovelli argues that its most unsettling contradictions can be explained by seeing the world as fundamentally made of relationships rather than substances. We and everything around us exist only in our interactions with one another. This bold idea suggests new directions for thinking about the structure of reality and even the nature of consciousness.Rovelli makes learning about quantum mechanics an almost psychedelic experience. Shifting our perspective once again, he takes us on a riveting journey through the universe so we can better comprehend our place in it.

    His collected essays offer a fascinating and moving look at one of the twentieth century's leading minds.Covering a fifteen year period from 1934 to 1950, the contents of this book have been drawn from Einstein's articles, addresses, letters and assorted papers. Through his words, you can understand the man and gain his insight on social, religious, and educational issues.

    In eight chapters, the EngineerGuy team exposes the magnificence of the innovation and engineering of digital camera imagers, tiny accelerometers, atomic clocks, enriching fissile material, batteries, anodizing metals, microwave ovens, and lasers. To help readers of all backgrounds, the book also includes introductions to the scientific principles necessary for a deeper understanding of the material presented in the chapters. The reader will be delighted by primers on waves, nuclear structure, and electronic transitions. It also features “In depth” sections on entropy, semiconductors, and the mathematics of capacitors.

    Through the allegory of Alice's adventures and encounters, Gilmore makes the essential features of the quantum world clear and accessible. It is a thrilling introduction to some essential, often difficult-to-grasp concepts about the world we inhabit.

    However, according to Hofstadter, the formal system that underlies all mental activity transcends the system that supports it. If life can grow out of the formal chemical substrate of the cell, if consciousness can emerge out of a formal system of firing neurons, then so too will computers attain human intelligence. Gödel, Escher, Bach is a wonderful exploration of fascinating ideas at the heart of cognitive science: meaning, reduction, recursion, and much more.

    Larry Haun is as much a historian and philosopher as he is a 60-year veteran carpenter. Larry's memoir would be equally at home on the bookshelves of home building and architecture enthusiasts as anyone on a spiritual journey."- Brian Pontolilo, Editor, Fine Homebuilding Magazine The unforgettable memoir of a legendary builder. You don't have to be a carpenter to appreciate this fascinating book that Publishers Weekly calls, "a first person timeline of 20th century American residential architecture... combining ...two literary styles: the memoir and the how-to book." A moving story of that place we call home. An early advocate for building lean and green and an avid blogger, Larry Haun tells his unique story in terms of twelve homes - built over the last 100 years. These are homes he knows intimately, drawing the reader in with detailed descriptions and thoughtful observations. "Just like any good carpenter, Haun brings his own artistic flourishes to the job of storytelling.... But where Haun's true personality comes across is when he describes the construction process for the many houses he has lived in and built--from his parent's 1,000-sq. ft. wood-frame house and the adobe and cob structures of the Southwest to the mid-century pre-fabricated and tract houses, and the more recent Habitat for Humanity homes he has donated his time to help erect." Publishers Weekly, 6/13/2011A delight to read. A great gift. This engaging memoir will appeal to anyone who appreciates a well-told story. A Carpenter's Life As Told in Houses explores our love of home - feelings so deeply rooted that they go far beyond wood and plaster and shingles. Share the author's deep connection to the natural world, his yearning for simplicity, and respect for humanity - and see why he believes that less is more.

    An exceptional book written by a true professional.

    A twenty-eight year old — and not widely famous — Christopher Wren was giving a lecture on astronomy. As his audience listened to him speak, they decided that it would be a good idea to create a Society to promote the accumulation of useful knowledge.With that, the Royal Society was born. Since its birth, the Royal Society has pioneered scientific exploration and discovery. Isaac Newton, Charles Darwin, Albert Einstein, Robert Hooke, Robert Boyle, Joseph Banks, Humphry Davy, Isambard Kingdom Brunel, John Locke, Alexander Fleming — all were fellows.Bill Bryson’s favourite fellow was Reverend Thomas Bayes, a brilliant mathematician who devised Bayes’ theorem. Its complexity meant that it had little practical use in Bayes’ own lifetime, but today his theorem is used for weather forecasting, astrophysics and stock market analysis. A milestone in mathematical history, it only exists because the Royal Society decided to preserve it — just in case. The Royal Society continues to do today what it set out to do all those years ago. Its members have split the atom, discovered the double helix, the electron, the computer and the World Wide Web. Truly international in its outlook, it has created modern science.Seeing Further celebrates its momentous history and achievements, bringing together the very best of science writing. Filled with illustrations of treasures from the Society’s archives, this is a unique, ground-breaking and beautiful volume, and a suitable reflection of the immense achievements of science.

    Moreover, present-day research on electricity and ion channels has created one of the most exciting fields in science, shedding light on conditions ranging from diabetes and allergies to cystic fibrosis, migraines, and male infertility. With inimitable wit and a clear, fresh voice, award-winning researcher Frances Ashcroft weaves together compelling real-life stories with the latest scientific findings, giving us a spectacular account of the body electric.

    He spent two years gathering information that demonstrates this and along the way interviewed more than a hundred experts in a number of different fields. Among them were parapsychologists, medical doctors, psychologists, psychiatrists, quantum physicists, and researchers into the true nature of reality. Specific examples are presented that indicate what happens when we die, for example that memories can be formed and retained despite a subject’s brain having been shutdown and the blood drained from it. Questions such as whether or not you will be able to communicate with living loved ones after death are addressed, if it is possible to be reborn, and what might be missing from reproductive theory to explain the various phenomena indicated in the many case histories and scientific investigations presented. All of us will someday cross the border to what Shakespeare called "The undiscovered country." As long as we must make that trip, wouldn’t it be smart to find out where we are going and what to expect when we get there?