The prolonged encounter between the Cro-Magnons and the archaic Neanderthals and between 45,000 and 30,000 years ago was one of the defining moments of history. The Neanderthals survived for some 15,000 years in the face of the newcomers, but were finally pushed aside by the Cro-Magnons' vastly superior intellectual abilities and cutting-edge technologies, which allowed them to thrive in the intensely challenging climate of the Ice Age.What do we know about this remarkable takeover? Who were the first modern Europeans and what were they like? How did they manage to thrive in such an extreme environment? And what legacy did they leave behind them after the cold millennia? The age of the Cro-Magnons lasted some 30,000 years?longer than all of recorded history. Cro-Magnon is the story of a little known, yet seminal, chapter of human experience.

    The Lucifer Priciple is a revolutionary work that explores the intricate relationships among genetics, human behavior, and culture to put forth the thesis that “evil” is a by-product of nature’s strategies for creation and that it is woven into our most basic biological fabric.

    Birth of a Theorem is Villani’s own account of the years leading up to the award. It invites readers inside the mind of a great mathematician as he wrestles with the most important work of his career.But you don’t have to understand nonlinear Landau damping to love Birth of a Theorem. It doesn’t simplify or overexplain; rather, it invites readers into collaboration. Villani’s diaries, emails, and musings enmesh you in the process of discovery. You join him in unproductive lulls and late-night breakthroughs. You’re privy to the dining-hall conversations at the world’s greatest research institutions. Villani shares his favorite songs, his love of manga, and the imaginative stories he tells his children. In mathematics, as in any creative work, it is the thinker’s whole life that propels discovery—and with Birth of a Theorem, Cédric Villani welcomes you into his.

    In Burn Math Class, Jason Wilkes takes the traditional approach to how we learn math -- with its unwelcoming textbooks, unexplained rules, and authoritarian assertions-and sets it on fire. Focusing on how mathematics is created rather than on mathematical facts, Wilkes teaches the subject in a way that requires no memorization and no prior knowledge beyond addition and multiplication. From these simple foundations, Burn Math Class shows how mathematics can be (re)invented from scratch without preexisting textbooks and courses. We can discover math on our own through experimentation and failure, without appealing to any outside authority. When math is created free from arcane notations and pretentious jargon that hide the simplicity of mathematical concepts, it can be understood organically -- and it becomes fun! Following this unconventional approach, Burn Math Class leads the reader from the basics of elementary arithmetic to various "advanced" topics, such as time-dilation in special relativity, Taylor series, and calculus in infinite-dimensional spaces. Along the way, Wilkes argues that orthodox mathematics education has been teaching the subject backward: calculus belongs before many of its so-called prerequisites, and those prerequisites cannot be fully understood without calculus. Like the smartest, craziest teacher you've ever had, Wilkes guides you on an adventure in mathematical creation that will radically change the way you think about math. Revealing the beauty and simplicity of this timeless subject, Burn Math Class turns everything that seems difficult about mathematics upside down and sideways until you understand just how easy math can be.

    It addresses science and philosophy, explores the underlying nature of reality, the state of our society and culture, the influence of the mainstream media, the nature of free will and a number of other topics. Each of these examinations contributes an angle to an emerging idea gestalt that challenges present mainstream views and behaviors and offers a sane alternative. The book is organized as a series of short and self-contained essays, most of which can be read in under one hour.

    Would you believe that these five pieces can be reassembled in such a fashion so as to create two apples equal in shape and size to the original? Would you believe that you could make something as large as the sun by breaking a pea into a finite number of pieces and putting it back together again? Neither did Leonard Wapner, author of The Pea and the Sun, when he was first introduced to the Banach-Tarski paradox, which asserts exactly such a notion. Written in an engaging style, The Pea and the Sun catalogues the people, events, and mathematics that contributed to the discovery of Banach and Tarski's magical paradox. Wapner makes one of the most interesting problems of advanced mathematics accessible to the non-mathematician.

    Distinguishing agents (e.g., molecules, cells, animals, and species) from their interactions (e.g., chemical reactions, immune system responses, sexual reproduction, and evolution), Flake argues that it is the computational properties of interactions that account for much of what we think of as beautiful and interesting. From this basic thesis, Flake explores what he considers to be today's four most interesting computational topics: fractals, chaos, complex systems, and adaptation.Each of the book's parts can be read independently, enabling even the casual reader to understand and work with the basic equations and programs. Yet the parts are bound together by the theme of the computer as a laboratory and a metaphor for understanding the universe. The inspired reader will experiment further with the ideas presented to create fractal landscapes, chaotic systems, artificial life forms, genetic algorithms, and artificial neural networks.

    Moral behavior does not begin and end with religion but is in fact a product of evolution.For many years, de Waal has observed chimpanzees soothe distressed neighbors and bonobos share their food. Now he delivers fascinating fresh evidence for the seeds of ethical behavior in primate societies that further cements the case for the biological origins of human fairness. Interweaving vivid tales from the animal kingdom with thoughtful philosophical analysis, de Waal seeks a bottom-up explanation of morality that emphasizes our connection with animals. In doing so, de Waal explores for the first time the implications of his work for our understanding of modern religion. Whatever the role of religious moral imperatives, he sees it as a “Johnny-come-lately” role that emerged only as an addition to our natural instincts for cooperation and empathy.But unlike the dogmatic neo-atheist of his book’s title, de Waal does not scorn religion per se. Instead, he draws on the long tradition of humanism exemplified by the painter Hieronymus Bosch and asks reflective readers to consider these issues from a positive perspective: What role, if any, does religion play for a well-functioning society today? And where can believers and nonbelievers alike find the inspiration to lead a good life?Rich with cultural references and anecdotes of primate behavior, The Bonobo and the Atheist engagingly builds a unique argument grounded in evolutionary biology and moral philosophy. Ever a pioneering thinker, de Waal delivers a heartening and inclusive new perspective on human nature and our struggle to find purpose in our lives.

    Robert Lawlor sets out the system that determines the dimension and the form of both man-made and natural structures, from Gothic cathedrals to flowers, from music to the human body. By also involving the reader in practical experiments, he leads with ease from simple principles to a grasp of the logarithmic spiral, the Golden Proportion, the squaring of the circle and other ubiquitous ratios and proportions.Art and Imagination: These large-format, gloriously-illustrated paperbacks cover Eastern and Western religion and philosophy, including myth and magic, alchemy and astrology. The distinguished authors bring a wealth of knowledge, visionary thinking and accessible writing to each intriguing subject.

    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.

    Addressing readers with both a general and scholarly interest in mathematics, Nahin weaves into this narrative entertaining historical facts, mathematical discussions, and the application of complex numbers and functions to important problems.

    Along the tidal rivers of Malaysia, thousands of fireflies congregate and flash in unison; the moon spins in perfect resonance with its orbit around the earth; our hearts depend on the synchronous firing of ten thousand pacemaker cells. While the forces that synchronize the flashing of fireflies may seem to have nothing to do with our heart cells, there is in fact a deep connection. Synchrony is a science in its infancy, and Strogatz is a pioneer in this new frontier in which mathematicians and physicists attempt to pinpoint just how spontaneous order emerges from chaos. From underground caves in Texas where a French scientist spent six months alone tracking his sleep-wake cycle, to the home of a Dutch physicist who in 1665 discovered two of his pendulum clocks swinging in perfect time, this fascinating book spans disciplines, continents, and centuries. Engagingly written for readers of books such as Chaos and The Elegant Universe, Sync is a tour-de-force of nonfiction writing.

    At a summer tea party in Cambridge, England, a guest states that tea poured into milk tastes different from milk poured into tea. Her notion is shouted down by the scientific minds of the group. But one man, Ronald Fisher, proposes to scientifically test the hypothesis. There is no better person to conduct such an experiment, for Fisher is a pioneer in the field of statistics.The Lady Tasting Tea spotlights not only Fisher's theories but also the revolutionary ideas of dozens of men and women which affect our modern everyday lives. Writing with verve and wit, David Salsburg traces breakthroughs ranging from the rise and fall of Karl Pearson's theories to the methods of quality control that rebuilt postwar Japan's economy, including a pivotal early study on the capacity of a small beer cask at the Guinness brewing factory. Brimming with intriguing tidbits and colorful characters, The Lady Tasting Tea salutes the spirit of those who dared to look at the world in a new way.

    As a member of the Citizen Potawatomi Nation, she embraces the notion that plants and animals are our oldest teachers. In Braiding Sweetgrass, Kimmerer brings these lenses of knowledge together to show that the awakening of a wider ecological consciousness requires the acknowledgment and celebration of our reciprocal relationship with the rest of the living world. For only when we can hear the languages of other beings are we capable of understanding the generosity of the earth, and learning to give our own gifts in return.

    Shows how our concept of humankind has changed over time and argues our current understanding of what it means to be human has been shaken by new discoveries from science and philosophy.