In Why Beauty Is Truth, world-famous mathematician Ian Stewart narrates the history of the emergence of this remarkable area of study. Stewart introduces us to such characters as the Renaissance Italian genius, rogue, scholar, and gambler Girolamo Cardano, who stole the modern method of solving cubic equations and published it in the first important book on algebra, and the young revolutionary Evariste Galois, who refashioned the whole of mathematics and founded the field of group theory only to die in a pointless duel over a woman before his work was published. Stewart also explores the strange numerology of real mathematics, in which particular numbers have unique and unpredictable properties related to symmetry. He shows how Wilhelm Killing discovered “Lie groups” with 14, 52, 78, 133, and 248 dimensions-groups whose very existence is a profound puzzle. Finally, Stewart describes the world beyond superstrings: the “octonionic” symmetries that may explain the very existence of the universe.

    In Friendship, journalist Lydia Denworth visits the front lines of the science of friendship in search of its biological, psychological, and evolutionary foundations. Finding it to be as old as life on the African savannas, she also discovers that friendship is reflected in our brain waves, detectable in our genomes, and capable of strengthening our cardiovascular and immune systems. Its opposite, loneliness, can kill. As a result, social connection is finally being recognized as critical to our physical and emotional well-being.With warmth and compassion, Denworth weaves together past and present, field biology and cutting-edge neuroscience, to show how our bodies and minds are designed to make friends, the process by which social bonds develop, and how a drive for friendship underpins human (and nonhuman) society. With its refreshingly optimistic vision of the evolution of human nature, this book puts friendship at the center of our lives.

    Isolated and desolate, they were largely overlooked by early explorers until Charles Darwin arrived there in the 1830s. It was Darwin who recognized that Galapagos' isolation and desolation were advantages: the paucity of species and lack of outside influences made the workings of natural selection crystal clear. Since then, every important advance and controversy in evolutionary thinking has had its reflection on the Galapagos. In every sense-intellectually, institutionally, and culturally-the history of science on these islands is a history of the way evolutionary science was done for the past 150 years. Evolution's Workshop tells the story of Darwin's explorations there; the fabulous Gilded Age expeditions, run from rich men's gigantic yachts, that featured rough-and-ready science during the day and black-tie dinners every night; the struggle for control of research on the Galapagos; the current efforts by "creation scientists" to use the Galapagos to undercut evolutionary teaching; and many other compelling stories.

    Brenda Maddox tells a powerful story of a remarkably single-minded, forthright, and tempestuous young woman who, at the age of fifteen, decided she was going to be a scientist, but who was airbrushed out of the greatest scientific discovery of the twentieth century.

    Book by Holmes, Hannah

    Those in favor of welcoming more immigrants often cite humanitarian reasons, while those in favor of more restrictive laws argue the need to protect native citizens.But economist Bryan Caplan adds a new, compelling perspective to the immigration debate: He argues that opening all borders could eliminate absolute poverty worldwide and usher in a booming worldwide economy—greatly benefiting humanity.With a clear and conversational tone, exhaustive research, and vibrant illustrations by Zach Weinersmith, Open Borders makes the case for unrestricted immigration easy to follow and hard to deny.

    You experience it passing every day when you watch clocks tick, bread toast, and children grow. But most physicists see things differently, from Newton to Einstein to today’s quantum theorists. For them, time isn’t real. You may think you experience time passing, but they say it’s just an illusion.Lee Smolin, author of the controversial bestseller The Trouble with Physics, argues this limited notion of time is holding physics back. It’s time for a major revolution in scientific thought. The reality of time could be the key to the next big breakthrough in theoretical physics.What if the laws of physics themselves were not timeless? What if they could evolve? Time Reborn offers a radical new approach to cosmology that embraces the reality of time and opens up a whole new universe of possibilties. There are few ideas that, like our notion of time, shape our thinking about literally everything, with major implications for physics and beyond—from climate change to the economic crisis. Smolin explains in lively and lucid prose how the true nature of time impacts our world.

    The neatly printed equations on the scrap of paper outlined his world-changing theory of general relativity, the first complete revision of our conception of the universe since Isaac Newton.Until then, Einstein's masterpiece of time and space had been trapped behind the physical and ideological lines of battle, unknown. Many Britons were rejecting anything German, but Eddington realized the importance of the letter: perhaps Einstein's esoteric theory could not only change the foundations of science but also lead to international co-operation in a time of brutal war.Few recognize how the Great War, the industrialized slaughter that bled Europe from 1914 to 1918, shaped Einstein's life and work. While Einstein never held a rifle, he formulated general relativity blockaded in Berlin, literally starving. His name is now synonymous with 'genius', but it was not an easy road.Einstein spent a decade creating relativity and his ascent to global celebrity owed much to against-the-odds international collaboration, including Eddington's globe-spanning expedition of 1919 - two years before they finally met - to catch a fleeting solar eclipse for a rare opportunity to confirm Einstein's bold prediction that light has weight.We usually think of scientific discovery as a flash of individual inspiration, but here we see it is the result of hard work, gambles and wrong turns. Einstein's War is a celebration of what science can offer when bigotry and nationalism are defeated. Using previously unknown sources and written like a thriller, it shows relativity being built brick-by-brick in front of us, as it happened 100 years ago.

    Comparing gene sequences, examining atomic structures of proteins, and looking into the geochemistry of rocks have helped explain evolution in more detail than ever before. Nick Lane expertly reconstructs the history of life by describing the ten greatest inventions of evolution (including DNA, photosynthesis, sex, and sight), based on their historical impact, role in organisms today, and relevance to current controversies. Who would have guessed that eyes started off as light-sensitive spots used to calibrate photosynthesis in algae? Or that DNA’s building blocks form spontaneously in hydrothermal vents? Lane gives a gripping, lucid account of nature’s ingenuity, and the result is a work of essential reading for anyone who has ever pondered or questioned the science underlying evolution’s greatest gifts to man.

    Yet, despite the astonishing discoveries of science, we still have only the vaguest idea of how the brain works. In The Idea of the Brain, scientist and historian Matthew Cobb traces how our conception of the brain has evolved over the centuries. Although it might seem to be a story of ever-increasing knowledge of biology, Cobb shows how our ideas about the brain have been shaped by each era's most significant technologies. Today we might think the brain is like a supercomputer. In the past, it has been compared to a telegraph, a telephone exchange, or some kind of hydraulic system. What will we think the brain is like tomorrow, when new technology arises? The result is an essential read for anyone interested in the complex processes that drive science and the forces that have shaped our marvelous brains.

    With his inimitable ability to translate complex foreign policy and economic issues, Friedman explains how the flattening of the world happened at the dawn of the 21st century; what it means to countries, companies, communities and individuals; and how governments and societies can, and must, adapt.

    This is the America we believe in a nation of opportunity, constrained only by ability and effort. But during the last twenty-five years we have seen a disturbing opportunity gap emerge. Americans have always believed in equality of opportunity, the idea that all kids, regardless of their family background, should have a decent chance to improve their lot in life. Now, this central tenet of the American dream seems no longer true or at the least, much less true than it was. Robert Putnam about whom The Economist said, "His scholarship is wide-ranging, his intelligence luminous, his tone modest, his prose unpretentious and frequently funny," offers a personal but also authoritative look at this new American crisis. Putnam begins with his high school class of 1959 in Port Clinton, Ohio. By and large the vast majority of those students "our kids" went on to lives better than those of their parents. But their children and grandchildren have had harder lives amid diminishing prospects. Putnam tells the tale of lessening opportunity through poignant life stories of rich and poor kids from cities and suburbs across the country, drawing on a formidable body of research done especially for this book. Our Kids is a rare combination of individual testimony and rigorous evidence. Putnam provides a disturbing account of the American dream that should initiate a deep examination of the future of our country.

    Hazen writes of how the co-evolution of the geosphere and biosphere—of rocks and living matter—has shaped our planet into the only one of its kind in the Solar System, if not the entire cosmos.With an astrobiologist’s imagination, a historian’s perspective, and a naturalist’s passion for the ground beneath our feet, Hazen explains how changes on an atomic level translate into dramatic shifts in Earth’s makeup over its 4.567 billion year existence. He calls upon a flurry of recent discoveries to portray our planet’s many iterations in vivid detail. Through his theory of “co-evolution,” we learn how reactions between organic molecules and rock crystals may have generated Earth’s first organisms, which in turn are responsible for more than two-thirds of the mineral varieties on the planet.The Story of Earth is also the story of the pioneering men and women behind the sciences. Readers will meet black-market meteorite hawkers of the Sahara Desert, the gun-toting Feds who guarded the Apollo missions’ lunar dust, and the World War II Navy officer whose super-pressurized “bomb”—recycled from military hardware—first simulated the molten rock of Earth’s mantle. As a mentor to a new generation of scientists, Hazen introduces the intrepid young explorers whose dispatches from Earth’s harshest landscapes will revolutionize geology.

    Over the past decade, Silicon Valley executives like Eric Schmidt and Elon Musk, Special Operators like the Navy SEALs and the Green Berets, and maverick scientists like Sasha Shulgin and Amy Cuddy have turned everything we thought we knew about high performance upside down. Instead of grit, better habits, or 10,000 hours, these trailblazers have found a surprising short cut. They're harnessing rare and controversial states of consciousness to solve critical challenges and outperform the competition.New York Times bestselling author Steven Kotler and high performance expert Jamie Wheal spent four years investigating the leading edges of this revolution—from the home of SEAL Team Six to the Googleplex, the Burning Man festival, Richard Branson’s Necker Island, Red Bull’s training center, Nike’s innovation team, and the United Nations’ Headquarters. And what they learned was stunning: In their own ways, with differing languages, techniques, and applications, every one of these groups has been quietly seeking the same thing: the boost in information and inspiration that altered states provide.Today, this revolution is spreading to the mainstream, fueling a trillion dollar underground economy and forcing us to rethink how we can all lead richer, more productive, more satisfying lives. Driven by four accelerating forces—psychology, neurobiology, technology and pharmacology—we are gaining access to and insights about some of the most contested and misunderstood terrain in history. Stealing Fire is a provocative examination of what’s actually possible; a guidebook for anyone who wants to radically upgrade their life.

    But the so-called Dark Ages also gave us the first universities, eyeglasses, and mechanical clocks, proving that the Middle Ages were home to a vibrant scientific culture.In The Light Ages, Cambridge science historian Seb Falk takes us on an immersive tour of medieval science through the story of one fourteenth-century monk, John of Westwyk. From multiplying Roman numerals to navigating by the stars, curing disease, and telling time with an ancient astrolabe, we learn emerging science alongside Westwyk, while following the gripping story of the struggles and successes of an ordinary man in a precarious world. An enlightening history that argues that these times weren’t so dark after all, The Light Ages shows how medieval ideas continue to color how we see the world today.