xn + yn = zn, where n represents 3, 4, 5, ...no solution"I have discovered a truly marvelous demonstration of this proposition which this margin is too narrow to contain."With these words, the seventeenth-century French mathematician Pierre de Fermat threw down the gauntlet to future generations.  What came to be known as Fermat's Last Theorem looked simple; proving it, however, became the Holy Grail of mathematics, baffling its finest minds for more than 350 years.  In Fermat's Enigma--based on the author's award-winning documentary film, which aired on PBS's "Nova"--Simon Singh tells the astonishingly entertaining story of the pursuit of that grail, and the lives that were devoted to, sacrificed for, and saved by it.  Here is a mesmerizing tale of heartbreak and mastery that will forever change your feelings about mathematics.

    For centuries, the power of zero savored of the demonic; once harnessed, it became the most important tool in mathematics. Zero follows this number from its birth as an Eastern philosophical concept to its struggle for acceptance in Europe and its apotheosis as the mystery of the black hole. Today, zero lies at the heart of one of the biggest scientific controversies of all time, the quest for the theory of everything. Elegant, witty, and enlightening, Zero is a compelling look at the strangest number in the universe and one of the greatest paradoxes of human thought.

    How does life begin? What does it mean? What happens when we die? “All anyone can do is ask,” Lepore writes. “That's why any history of ideas about life and death has to be, like this book, a history of curiosity.” Lepore starts that history with the story of a seventeenth-century Englishman who had the idea that all life begins with an egg and ends it with an American who, in the 1970s, began freezing the dead. In between, life got longer, the stages of life multiplied, and matters of life and death moved from the library to the laboratory, from the humanities to the sciences. Lately, debates about life and death have determined the course of American politics. Each of these debates has a history. Investigating the surprising origins of the stuff of everyday life—from board games to breast pumps—Lepore argues that the age of discovery, Darwin, and the Space Age turned ideas about life on earth topsy-turvy. “New worlds were found,” she writes, and “old paradises were lost.” As much a meditation on the present as an excavation of the past, The Mansion of Happiness is delightful, learned, and altogether beguiling.

    This book investigates what cannot be known. Rather than exploring the amazing facts that science, mathematics, and reason have revealed to us, this work studies what science, mathematics, and reason tell us cannot be revealed. In The Outer Limits of Reason, Noson Yanofsky considers what cannot be predicted, described, or known, and what will never be understood. He discusses the limitations of computers, physics, logic, and our own thought processes.Yanofsky describes simple tasks that would take computers trillions of centuries to complete and other problems that computers can never solve; perfectly formed English sentences that make no sense; different levels of infinity; the bizarre world of the quantum; the relevance of relativity theory; the causes of chaos theory; math problems that cannot be solved by normal means; and statements that are true but cannot be proven. He explains the limitations of our intuitions about the world -- our ideas about space, time, and motion, and the complex relationship between the knower and the known.Moving from the concrete to the abstract, from problems of everyday language to straightforward philosophical questions to the formalities of physics and mathematics, Yanofsky demonstrates a myriad of unsolvable problems and paradoxes. Exploring the various limitations of our knowledge, he shows that many of these limitations have a similar pattern and that by investigating these patterns, we can better understand the structure and limitations of reason itself. Yanofsky even attempts to look beyond the borders of reason to see what, if anything, is out there.

    The other books in the series are The Black Swan, Antifragile,and The Bed of Procrustes.

    Due to its age, it may contain imperfections such as marks, notations, marginalia and flawed pages. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions that are true to the original work.

    That explains why what many of us long for is simplicity: a life that can be more pared down, peaceful, and focused on the essentials.But finding simplicity is not always easy; it isn’t just a case of emptying out our closets or trimming back commitments in our diaries. True simplicity requires that we understand the roots of our distractions – and develop a canny respect for the stubborn reasons why things can grow complex and overwhelming.This book is a guide to the simpler lives we crave and deserve. It considers how we might achieve simplicity across a range of areas. Along the way, we learn about Zen Buddhism, modernist architecture, monasteries, psychoanalysis, and why we probably don’t need more than three good friends or a few treasured belongings.It isn’t enough that our lives should look simple; they need to be simple from the inside. This book takes a psychological approach, guiding us towards less contorted hearts and minds. We have for too long been drowning in excess and clutter from a confusion about our aspirations; A Simpler Life helps us tune out the static and focus on what properly matters to us.

    By studying social behaviors in animals, such as bonding, the herd instinct, the forming of trusting alliances, expressions of consolation, and conflict resolution, Frans de Waal demonstrates that animals–and humans–are "preprogrammed to reach out." He has found that chimpanzees care for mates that are wounded by leopards, elephants offer "reassuring rumbles" to youngsters in distress, and dolphins support sick companions near the water's surface to prevent them from drowning. From day one humans have innate sensitivities to faces, bodies, and voices; we've been designed to feel for one another.De Waal's theory runs counter to the assumption that humans are inherently selfish, which can be seen in the fields of politics, law, and finance, and which seems to be evidenced by the current greed-driven stock market collapse. But he cites the public's outrage at the U.S. government's lack of empathy in the wake of Hurricane Katrina as a significant shift in perspective–one that helped Barack Obama become elected and ushered in what may well become an Age of Empathy. Through a better understanding of empathy's survival value in evolution, de Waal suggests, we can work together toward a more just society based on a more generous and accurate view of human nature.Written in layman's prose with a wealth of anecdotes, wry humor, and incisive intelligence, The Age of Empathy is essential reading for our embattled times.

    This study guide includes the following sections: Plot Summary, Chapter Summaries & Analysis, Characters, Objects/Places, Themes, Style, Quotes, and Topics for Discussion.

    From the United States Memory Championship to deep within the author's own mind, this is an electrifying work of journalism that reminds us that, in every way that matters, we are the sum of our memories.

    Objects in harmonic motion have the ability to transfer some of their energy over large distances. Light Nature: This chapter covers the nature of light, polarization, and color.

    This easy-to-use guide is updated and expanded to include new computer and technology signs and offers a fast and simple approach to learning. Includes:- Vocabulary reviews- Fingerspelling exercises- Sign matching and memory aids- A complete glossary and a comprehensive index- Clear instructive drawings

    The authors are two pioneers: bestselling author and physician Deepak Chopra and Harvard Medical School professor Rudolph E. Tanzi, one of the world's foremost experts on the causes of Alzheimer’s. They have merged their wisdom and expertise for a bold new understanding of the “three-pound universe” and its untapped potential.In contrast to the “baseline brain” that fulfills the tasks of everyday life, Chopra and Tanzi propose that, through a person’s increased self-awareness and conscious intention, the brain can be taught to reach far beyond its present limitations. “We are living in a golden age for brain research, but is this a golden age for your brain?” they ask. Super Brain explains how it can be, by combining cutting-edge research and spiritual insights, demolishing the five most widespread myths about the brain that limit your potential, and then showing you methods to:-Use your brain instead of letting it use you-Create the ideal lifestyle for a healthy brain-Reduce the risks of aging-Promote happiness and well-being through the mind-body connection-Access the enlightened brain, the gateway to freedom and bliss-Overcome the most common challenges, such as memory loss, depression, anxiety, and obesity Your brain is capable of incredible healing and constant reshaping. Through a new relationship with your brain you can transform your life. In Super Brain, Chopra and Tanzi guide you on a fascinating journey that envisions a leap in human evolution. The brain is not just the greatest gift that Nature has given us. It’s the gateway to an unlimited future that you can begin to live today.

    Ayya Khema, author of the best-selling Being Nobody, Going Nowhere, uses one of the earliest Buddhist suttas to guide us along the path of the oldest Buddhist meditative practice for understanding the nature of "self." By following the Buddha's explanation with clear, insightful examples from her years of teaching meditation, she guides us back and forth between the relative understanding and higher realizations of the Buddhist concept of "self." Her thoughtful contemplation of the Buddha's radical understanding of "self" and her practical advice for achieving insight offer the reader a profound understanding of the "self." Both beginning and advanced practitioners will greatly benefit from Ayya Khema's warm and down-to-earth exposition of the Buddha's meditation on "self."

    From the classroom to the courtroom and from financial markets to supermarkets, Mlodinow's intriguing and illuminating look at how randomness, chance, and probability affect our daily lives will intrigue, awe, and inspire.