Philosophers, artists and poets have long explored its meaning while scientists have found that its structure is different from the simple intuition we have of it. From Boltzmann to quantum theory, from Einstein to loop quantum gravity, our understanding of time has been undergoing radical transformations. Time flows at different speeds in different places, the past and the future differ far less than we might think and the very notion of the present evaporates in the vast universe. With his extraordinary charm and sense of wonder, bringing together science, philosophy and art, Carlo Rovelli unravels this mystery, inviting us to imagine a world where time is in us and we are not in time.

    We all have one, but most of us will never see one. The heart surgeon now has that privilege but, for centuries, the heart was out of reach even for surgeons. So when a surgeon nowadays opens up a ribcage and mends a heart, it remains something of a miracle, even if, to some, it is merely plumbing. As with plumbers, the quality of surgeons’ work varies. As with plumbers, surgeons’ opinion of their own prowess and their own attitude to risk are not always reliable. Measurement is key. We’ve had a century of effective evidence-based medicine. We’ve had barely a decade of thorough monitoring of clinical outcomes. Thanks to the ground-breaking risk modelling of pioneering surgeons like Samer Nashef, we at last know how to judge whether an operation is in a patient’s best interest, which hospital and surgeon would be best for that operation, when it might best be performed and what the exact level of risk is. We have at last made what is important in surgery measurable. But how should surgeons, and their patients, use these newfound insights? Ever since his days as a medical student, Samer Nashef has challenged the medical profession to be more open and more accurate about the success of surgical procedures, for the sake of the patients. In The Naked Surgeon, he unclothes his own profession to demonstrate to his reader (and prospective patient) many revelations, such as the paradox at the heart of the cardiac surgeon’s craft: the more an operation is likely to kill you, the better it is for you. And he does so with absolute clarity, fluency and not a little wit.

    The work of English clergyman, educator and Shakespearean scholar Edwin A. Abbott (1838-1926), it describes the journeys of A. Square [sic – ed.], a mathematician and resident of the two-dimensional Flatland, where women-thin, straight lines-are the lowliest of shapes, and where men may have any number of sides, depending on their social status.Through strange occurrences that bring him into contact with a host of geometric forms, Square has adventures in Spaceland (three dimensions), Lineland (one dimension) and Pointland (no dimensions) and ultimately entertains thoughts of visiting a land of four dimensions—a revolutionary idea for which he is returned to his two-dimensional world. Charmingly illustrated by the author, Flatland is not only fascinating reading, it is still a first-rate fictional introduction to the concept of the multiple dimensions of space. "Instructive, entertaining, and stimulating to the imagination." — Mathematics Teacher.

    This authoritative yet accessible study is the ultimate astronomy lesson. Combining fascinating and often alarming scenarios that seem plucked from science fiction with the latest research and opinions, Plait illustrates why outer space is not as remote as most people think. Each chapter explores a different phenomenon, explaining it in easy-to-understand terms, and considering how life on earth and the planet itself would be affected should the event come to pass. Rather than sensationalizing the information, Plait analyzes the probability of these catastrophes occurring in our lifetimes and what we can do to stop them. With its entertaining tone and enlightening explanation of unfathomable concepts, Death from the Skies! will appeal to science buffs and beginners alike.

    To its adherents, it is an elegant statement about learning from experience. To its opponents, it is subjectivity run amok.In the first-ever account of Bayes' rule for general readers, Sharon Bertsch McGrayne explores this controversial theorem and the human obsessions surrounding it. She traces its discovery by an amateur mathematician in the 1740s through its development into roughly its modern form by French scientist Pierre Simon Laplace. She reveals why respected statisticians rendered it professionally taboo for 150 years—at the same time that practitioners relied on it to solve crises involving great uncertainty and scanty information (Alan Turing's role in breaking Germany's Enigma code during World War II), and explains how the advent of off-the-shelf computer technology in the 1980s proved to be a game-changer. Today, Bayes' rule is used everywhere from DNA de-coding to Homeland Security.Drawing on primary source material and interviews with statisticians and other scientists, The Theory That Would Not Die is the riveting account of how a seemingly simple theorem ignited one of the greatest controversies of all time.

    We wouldn’t have unraveled DNA or discovered Neptune or figured out how to put 5,000 songs in your pocket. Though many of us were scared away from this essential, engrossing subject in high school and college, Steven Strogatz’s brilliantly creative, down‑to‑earth history shows that calculus is not about complexity; it’s about simplicity. It harnesses an unreal number—infinity—to tackle real‑world problems, breaking them down into easier ones and then reassembling the answers into solutions that feel miraculous. Infinite Powers recounts how calculus tantalized and thrilled its inventors, starting with its first glimmers in ancient Greece and bringing us right up to the discovery of gravitational waves (a phenomenon predicted by calculus). Strogatz reveals how this form of math rose to the challenges of each age: how to determine the area of a circle with only sand and a stick; how to explain why Mars goes “backwards” sometimes; how to make electricity with magnets; how to ensure your rocket doesn’t miss the moon; how to turn the tide in the fight against AIDS. As Strogatz proves, calculus is truly the language of the universe. By unveiling the principles of that language, Infinite Powers makes us marvel at the world anew.

    The world you live in is stranger than fiction... as you read this, you exist in other places at the same time. Do not regret having missed the chance to realize your dreams, for you may just have fulfilled it in another universe.. * Are the trillions of atoms that make you, nothing but vibrations in 10 dimensions?* Is it true that we are all connected with each other?* Can you go into the future to change the present?* Why do scientists and philosophers struggle with the concept of Time?* Can science explain consciousness through physics?* Is our fate driven by the underlying randomness in nature?* Is nature hiding the best-kept secrets which can never be unravelled by humans?The Speed of Time approaches the most complex and esoteric theories of science in lucid, clear and simple language and in the style of a thriller, leaving you wanting more... while addressing questions through the enigmatic theories in Physics such as Quantum Mechanics, Einstein's Theory of Relativity, Time, Chaos, and much more. Just start reading and you will not put it down.

    “They are both brilliantly original and outsiders,” the narrator tells us. “They are both besotted with mathematics. But for all their devotion, mathematics is indifferent, unaltered by any of their dramas . . . Against indifference, I want to tell their stories.” Which she does in a haunting, incantatory voice, the two lives unfolding in parallel narratives that overlap in the magnitude of each man’s achievement and demise: Gödel, delusional and paranoid, would starve himself to death; Turing, arrested for homosexual activities, would be driven to suicide. And they meet as well in the narrator’s mind, where facts are interwoven with her desire and determination to find meaning in the maze of their stories: two men devoted to truth of the highest abstract nature, yet unable to grasp the mundane truths of their own lives.A unique amalgam of luminous imagination and richly evoked historic character and event—A Madman Dreams of Turing Machines is a story about the pursuit of truth and its effect on the lives of two men. A story of genius and madness, incredible yet true.

    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.

    He proposes a new way of understanding fundamental laws of science. In an age of superstring theories & Big-Bang cosmology, we think of the unknown as being impossibly distant from everyday life. The edges of science lie in the 1st nanofraction of a second of existence or in realms so small that they can't be glimpsed by the most sophisticated experimental techniques. But we haven't reached the end of science-only the end of reductionist thinking. Considering the world of emergent properties instead, suddenly the deepest mysteries are as close as the nearest ice cube or salt grain. He goes farther: the most fundamental laws of physics-such as Newton's laws of motion & quantum mechanics-are in fact emergent. They're properties of large assemblages of matter. When their exactness is examined too closely, it vanishes into nothing. A Different Universe goes into a cosmos where space vacuum has to be considered a kind of solid matter, where sound has quantized particles just like light, where there are many phases of matter, not just three, & where metal resembles a liquid while superfluid helium is more like a solid. It's a cosmos teeming with natural phenomena still to be discovered. This mind-altering book shows a surprising, beautifully mysterious new world.PrefaceAcknowledgmentsFrontier lawLiving with uncertainty Mount Newton Water, ice, and vaporSchrödinger's cat The quantum computer Vin Klitzing I solved it at dinnerThe nuclear family The fabric of space-timeCarnival of the baubles The dark side of protection Principles of life Star warriors Picnic table in the sunThe emergent ageNotesIndex

     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.

    The rest is known as dark matter and dark energy, because their precise identities are unknown. "The Cosmic Cocktail" is the inside story of the epic quest to solve one of the most compelling enigmas of modern science--what is the universe made of?--told by one of today's foremost pioneers in the study of dark matter.Blending cutting-edge science with her own behind-the-scenes insights as a leading researcher in the field, acclaimed theoretical physicist Katherine Freese recounts the hunt for dark matter, from the discoveries of visionary scientists like Fritz Zwicky--the Swiss astronomer who coined the term "dark matter" in 1933--to the deluge of data today from underground laboratories, satellites in space, and the Large Hadron Collider. Theorists contend that dark matter consists of fundamental particles known as WIMPs, or weakly interacting massive particles. Billions of them pass through our bodies every second without us even realizing it, yet their gravitational pull is capable of whirling stars and gas at breakneck speeds around the centers of galaxies, and bending light from distant bright objects. Freese describes the larger-than-life characters and clashing personalities behind the race to identify these elusive particles.Many cosmologists believe we are on the verge of solving the mystery. "The Cosmic Cocktail" provides the foundation needed to fully fathom this epochal moment in humankind's quest to understand the universe.

    In the quantum realm, objects can be in two places at once. It's a place where time travel is not only possible, but necessary. It's a place where cause and effect can happen in reverse and observing something changes its state. From parallel universes to antimatter, quantum mechanics has revealed that when you get right down to it, the laws of nature are insane. The scientist J. B. S. Haldane once said, 'Reality is not only stranger than we imagine . . . it's stranger than we can imagine.' Never is this more true than with quantum mechanics; our best, most recent attempt to make sense of the fundamental laws of nature.Fundamental is a comprehensive beginner's guide to quantum mechanics, explaining not only the weirdness of the subject but the experiments that proved it to be true. Using a humorous and light-hearted approach, Fundamental tells the story of how the most brilliant minds in science grappled with seemingly impossible ideas and gave us everything from microchips to particle accelerators. Fundamental gives clear explanations of all the quantum phenomena known to modern science, without requiring an understanding of complex mathematics; tells the eccentric stories of the scientists who made these shattering discoveries and what they used them for; explains how quantum field theory (a topic not covered in detail by any other popular-science book) gave rise to particle physics and why the Higgs boson isn't the end of the story.

    Ronald Mallett, who recently discovered the basic equations for a working time machine that he believes can be used as a transport vehicle to the past. Combining elements of Rocket Boys and Elegant Universe, Time Traveler follows Mallett's discovery of Einstein's work on space-time, his study of Godel's work on a solution of Einstein's equation that might allow for time travel, and his own research in theoretical physics spanning thirty years that culminated in his recent discovery of the effects of circulating laser light and its application to time travel. The foundation for Mallett's historic time-travel work is Einstein's theory of general relativity, a sound platform for any physicist. Through his years of reading and studying Einstein, Mallett became a buff well before he had any notion of the importance of the grand old relativist's theories to his own career. One interesting subtext to the story is Mallett's identification with, and keen interest in, Einstein. Mallett provides easy-to-understand explanations of the famous physicist's seminal work.

    Over the next two decades, Copernicus expanded his theory through hundreds of observations, while compiling in secret a book-length manuscript that tantalized mathematicians and scientists throughout Europe. For fear of ridicule, he refused to publish.In 1539, a young German mathematician, Georg Joachim Rheticus, drawn by rumors of a revolution to rival the religious upheaval of Martin Luther's Reformation, traveled to Poland to seek out Copernicus. Two years later, the Protestant youth took leave of his aging Catholic mentor and arranged to have Copernicus's manuscript published, in 1543, as De revolutionibus orbium coelestium (On the Revolutions of the Celestial Spheres)-the book that forever changed humankind's place in the universe.In her elegant, compelling style, Dava Sobel chronicles, as nobody has, the conflicting personalities and extraordinary discoveries that shaped the Copernican Revolution. At the heart of the book is her play And the Sun Stood Still, imagining Rheticus's struggle to convince Copernicus to let his manuscript see the light of day. As she achieved with her bestsellers Longitude and Galileo's Daughter, Sobel expands the bounds of narration, giving us an unforgettable portrait of scientific achievement, and of the ever-present tensions between science and faith.