We start counting our fingers and toes and end up balancing checkbooks and calculating risk. So powerful is the appeal of numbers that many people ascribe to them a mystical significance. Other numbers go beyond the supernatural, working to explain our universe and how it behaves. In Cosmic Numbers, mathematics professor James D. Stein traces the discovery, evolution, and interrelationships of the numbers that define our world. Everyone knows about the speed of light and absolute zero, but numbers like Boltzmann’s constant and the Chandrasekhar limit are not as well known, and they do far more than one might imagine: They tell us how this world began and what the future holds. Much more than a gee-whiz collection of facts and figures, Cosmic Numbers illuminates why particular numbers are so important—both to the scientist and to the rest of us.

    More than two centuries after Euler's death, it is still regarded as a conceptual diamond of unsurpassed beauty. Called Euler's identity or God's equation, it includes just five numbers but represents an astonishing revelation of hidden connections. It ties together everything from basic arithmetic to compound interest, the circumference of a circle, trigonometry, calculus, and even infinity. In David Stipp's hands, Euler's identity formula becomes a contemplative stroll through the glories of mathematics. The result is an ode to this magical field.

    To understand the universe in the far future, we must first describe its present state and structure on the grand scale, and how its present properties arose. Dr Islam explains these topics in an accessible way in the first part of the book. From this background he speculates about the future evolution of the universe and predicts the major changes that will occur. The author has largely avoided mathematical formalism and therefore the book is well suited to general readers with a modest background knowledge of physics and astronomy.

    Indeed, numbers are part of every discipline in the sciences and the arts.With 350 illustrations, including diagrams, photographs and computer imagery, the book chronicles the centuries-long search for the meaning of numbers by famous and lesser-known mathematicians, and explains the puzzling aspects of the mathematical world. Topics include:The earliest ideas of numbers and counting Patterns, logic, calculating Natural, perfect, amicable and prime numbers Numerology, the power of numbers, superstition The computer, the Enigma Code Infinity, the speed of light, relativity Complex numbers The Big Bang and Chaos theories The Philosopher's Stone. The Book of Numbers shows enthusiastically that numbers are neither boring nor dull but rather involve intriguing connections, rivalries, secret documents and even mysterious deaths.

    But is this image really accurate?Recent scholarship examining the Persian Empire from the Persian perspective has discovered a major force that has had a lasting influence on the world in terms of administration, economics, religion, architecture, and more. In fact, the Persian Empire was arguably the world's first global power—a diverse, multicultural empire with flourishing businesses and people on the move. It was an empire of information, made possible by a highly advanced infrastructure that included roads, canals, bridges, and a courier system. And the kings of Persia's Achaemenid dynasty —Cyrus, Darius, Xerxes, and others—presided over an empire that created a tremendous legacy for subsequent history.The Persian Empire is your opportunity to see one of the greatest empires in the ancient world from a fresh new perspective: its own. Over the span of 24 fascinating lectures, Professor John W. I. Lee of the University of California, Santa Barbara—a distinguished teacher and an expert on the long-buried secrets of the ancient world—takes the role of a history detective and examines Persian sources to reveal what we now know about this grand civilization. Tapping into the latest scholarship on the Persian Empire, this course is sure to fill in some critical gaps in your understanding and appreciation of the sweep of ancient history and its undeniable effect on later civilizations—including our own.

    In 1905 an unknown 26-year-old clerk at the Swiss Patent Office, who had supposedly failed math in school, burst on to the scientific scene and swept away the hidebound theories of the day. The clerk, Albert Einstein, introduced a new and unexpected understanding of the universe and launched the two great revolutions of twentieth-century physics, relativity and quantum mechanics. The obscure origin and wide-ranging brilliance of the work recalled Isaac Newton’s “annus mirabilis” (miracle year) of 1666, when as a 23-year-old seeking safety at his family manor from an outbreak of the plague, he invented calculus and laid the foundations for his theory of gravity. Like Newton, Einstein quickly became a scientific icon--the image of genius and, according to Time magazine, the Person of the Century.The actual story is much more interesting. Einstein himself once remarked that “science as something coming into being ... is just as subjectively, psychologically conditioned as are all other human endeavors.” In this profile, the historian of science L. Randles Lagerstrom takes you behind the myth and into the very human life of the young Einstein. From family rifts and girlfriend troubles to financial hardships and jobless anxieties, Einstein’s early years were typical of many young persons. And yet in the midst of it all, he also saw his way through to profound scientific insights. Drawing upon correspondence from Einstein, his family, and his friends, Lagerstrom brings to life the young Einstein and enables the reader to come away with a fuller and more appreciative understanding of Einstein the person and the origins of his revolutionary ideas.About the cover image: While walking to work six days a week as a patent clerk in Bern, Switzerland, Einstein would pass by the famous "Zytglogge" tower and its astronomical clocks. The daily juxtaposition was fitting, as the relative nature of time and clock synchronization would be one of his revolutionary discoveries in the miracle year of 1905.

    Now he brings his considerable talents to the history of one of math's most enduring puzzles: the seemingly paradoxical nature of infinity.Is infinity a valid mathematical property or a meaningless abstraction? The nineteenth-century mathematical genius Georg Cantor's answer to this question not only surprised him but also shook the very foundations upon which math had been built. Cantor's counterintuitive discovery of a progression of larger and larger infinities created controversy in his time and may have hastened his mental breakdown, but it also helped lead to the development of set theory, analytic philosophy, and even computer technology.Smart, challenging, and thoroughly rewarding, Wallace's tour de force brings immediate and high-profile recognition to the bizarre and fascinating world of higher mathematics.

    From the warriors who nearly defeated Julius Caesar to druids who, contrary to popular opinion, definitely did not worship at Stonehenge, get to know the real Celts.In The Celtic World, discover the incredible story of the Celtic-speaking peoples, whose art, language, and culture once spread from Ireland to Austria. This series of 24 enlightening lectures explains the traditional historical view of who the Celts were, then contrasts it with brand-new evidence from DNA analysis and archeology that totally changes our perspective on where the Celts came from. European history and culture have been profoundly affected by the Celts, from the myth of King Arthur to the very map of the United Kingdom, where the English confronted the peoples of the "Celtic Fringe."Listening Length: 12 hours and 52 minutes

    Game theory plays a crucial role in our lives and provides startling insights into all endeavors in which humans cooperate or compete, including biology, computer science, politics, agriculture, and, most importantly, economics.For example, game theory*has become an invaluable tool for economists, underpinning the theories of five Nobel Prize winners in economics;*helps corporate decision makers through the alternatives of complex negotiations where thousands of jobs and billions of dollars may be at stake;*plays a crucial role in international diplomacy and military strategy, influencing the fates of nations even when that influence may well be invisible to the uninitiated; and provides insights into the origins of human behaviors, not only for psychologists seeking to understand why we act as we do, but also for evolutionary biologists asking how those patterns of actions—as human strategies—were handed down.You can even see game theory at work in the interactions you engage in every day, such as an obvious "game," like buying a car, or a less obvious one, like trying to decide where to go on a Saturday night or how you ought to dress.A basic working knowledge of this profoundly important tool can help us cut through an often confusing clutter of information—allowing us to make better decisions in our own lives or better understand the decisions facing other players in games. In Games People Play: Game Theory in Life, Business, and Beyond, award-winning Professor Scott P. Stevens of James Madison University has designed a course meant for anyone looking to gain that knowledge. In 24 insightful lectures, he presents you with the fundamentals of game theory in a manner that is both engaging and easy to understand.

    Learning the skills and techniques of artful reading can improve your life in many ways, whether you're a fiction reader, an aspiring writer, a book club member, or a student.And the best part: These skills are not difficult or unwieldy; rather, they are well within your reach. This entertaining, 24-lecture course gives you a veritable toolbox of knowledge and methods to approach even the most daunting reading experience with increased confidence.You'll learn the definitions and characteristics of terms such as authorship, master plot, and genre. While some of these nuts-and-bolts concepts may be familiar to you, Professor Spurgin examines them from multiple angles, revealing hidden meanings that can escape even experienced readers.Practical tips and techniques will maximize your effectiveness as an artful reader. You'll see why holding an initial reading session will acquaint you with the author's writing style and the characters, making the book easy to return to even if you take a few days off.You'll also discover the benefits of "pre-reading" - exploring a book's organization and structure - and how to constantly ask questions to become more deeply involved with the characters and their stories.Throughout the course, a host of literary "case studies" will refine and elaborate on the concepts of artful reading. Literary examples show how you can finally approach works that, in the past, might have seemed intimidating - making your future reading experiences both more engaging and more enlightening.

    Course Lecture TitlesWhat is Judaism?The Stages of HistoryThe Jewish LibraryThe Emergence of Rabbinic JudaismJewish WorshipPrayer and the SynagogueThe CalendarA Communal Life-CycleIndividual Life-CyclesGod and Man; God and CommunityPhilosophers and MysticsThe Legal Frameworks of JudaismHalakhaCommon Judaismor a Plurality of Judaisms?Judaism and Others

    But as renowned Yale surgeon and medical historian Sherwin B. Nuland shows in this brilliant collection of linked life portraits, the theory bears little resemblance to the truth. Through the centuries, the men and women who have shaped the world of medicine have been not only very human, but also very much the products of their own times and places. Presenting compelling studies of great medical innovators and pioneers, Doctors gives us a fascinating history of modern medicine. Ranging from the legendary Father of Medicine, Hippocrates, to Andreas Vesalius, whose Renaissance masterwork on anatomy offered invaluable new insight into the human body, to Helen Taussig, founder of pediatric cardiology and co-inventor of the original blue baby operation, here is a volume filled with the spirit of ideas and the thrill of discovery.

    Almost daily, researchers are recovering lost information that corrects our picture of what had been a misunderstood era. As a result, we know more than ever about the roles women played in medieval life.       What did it mean to be a heroine in the medieval world? As the four subjects of this course make clear, it meant shaping and changing that world. In the monasteries and churches where people prayed, the universities where they wrote and thought, and even on the political map of Europe itself, these women made differences perceived not only in our time, but in theirs. Women of Intellect, Words, and Passion        These lectures are an extraordinary opportunity to study great women of the past in their own words. Professor Wheeler bases her discussions on recently discovered or recovered written records they left behind, from Hildegard's prodigious scholarship to the personal letters of Heloise and detailed transcripts of Joan of Arc's trial.       With these documents as a basis, you will see Heloise (1101-1163) as a forerunner of Europe's new day. Her letters passionately overflow with the new knowledge of her day. With her star-crossed love, Abelard, she invented a new mode of philosophic thought.       Only now are scholars recovering the long, important second half of the story of Heloise as a woman of power after Abelard's death. Her letters show her to be well versed on such topics as Cicero, classical philosophy, Latin poetry, and rhetoric.       She saw the institution of marriage in her day as little more than a commercial transaction, and its duties burdensome, noisy, costly, and dirty. Her letters reveal her desire to be Abelard's "meretrix" (prostitute) rather than his "imperatrix" (empress). In her discussions on Heloise, Professor Wheeler also covers the long debate as to whether Abelard and Heloise's letters to one anotherthe first, first-person record of a love affair in human history are genuine or not.       Hildegard of Bingen, like Heloise a 12th-century abbess, is revealed as the last flowering of antique learning. She lived a dramatic life as a mystic, voluminous writer, and preacher. She was a personal advisor to Emperor Frederick Barbarossa, and her political involvement and passion as an advocate for clerical and imperial reform give her special interest in our day.       Only in the last generation have scholars rediscovered this amazing medieval intellect. Based on her letters, at least four popes and 10 archbishops corresponded with her, not to mention some 100 other individuals notable to history.Among her many writings, her Book of Simple Medicine was an impressive mini-encyclopedia on what we today would call the natural sciences.       But Hildegard is also known as the "holy hypochondriac," subject to disabling migraines. Were her visions delusions, a result of brainstorms caused by chemical imbalances? Women of Action and Legend        Eleanor of Aquitaine (1124-1204), Queen of France and then England, mother of at least 10 children, scandalized her contemporaries and has fascinated us ever since. She accompanied her husband, Louis VII, on the second Crusade, and her exploits are a reminder that women were crusaders not merely camp followers in numbers that rivaled those of men.       You will learnbased on as-yet-unpublished research by Professor Andrew Lewis that Eleanor was probably born in 1124, not 1122 as normally thought. As a physically hearty woman of courage, she provides a way for historians to explore the diverse roles that women played in enabling or resisting the Crusades. This is exciting work that will allow us to understand medieval women outside the context of home and family as agents of sometimes-radical change.       Eleanor's life is so amazing that it is easy to see why she has become the staple of legends. Among those you will consider are whether she passionately adored, then fought endlessly with, her second husband, Henry II of England (all too true); whether she poisoned Henry's mistress, Rosamund (no proof); and whether she held "courts of love" to encourage and engage in amatory liaisons (again, unproven).       Joan of Arc (1412-1431) was the illiterate French peasant girl whom Mark Twain described as the "youngest person of either sex to lead her nation's army before the age of 19." Known as La Pucelle " (the "maid" or "virgin"), she lacked any kind of military training, yet her military instincts seemed impeccable. Although she carried a sword in battle, she never used it to kill a man, and seems never to have become used to the sight of dead or dying men.Was this young woman who heard heavenly voices an incomprehensible quirk, or did she change the course of European and world history? Ironically, this debate is complicated by the detailed transcripts of her trials, which make her one of the best-documented figures of pre-modern times.       Trial records and her letters reveal her as someone who spoke with "compelling simplicity, quick wit, and piercing honesty." This girl spoke terribly well," said Albert d'Ourches. "I would really like to have had so fine a daughter."       Professor Wheeler dismisses as myth the notions that Joan was actually of noble birth, or that she never fully developed physically as a woman. These lectures reveal Joan as perhaps most memorable for what she was not: a queen, a mother, a beauty, or an intellectual. Instead, she was a woman of action, and the kind of person who is often an enigma to modern intellectuals: someone of profound religious faith.       Appreciating how these four heroines have been understood and misunderstood will help you understand how history passes judgment on both women and the Middle Ages. The contemporary research upon which this course is based can move us beyond how women "ought" to have been to better knowledge, however precarious, about how women were. 24 Lectures 1. Four Remarkable Medieval Women2. The Revolutionary Twelfth Century3. Prodigious Heloise4. Abelard's Story of Abelard and Heloise5. Heloise as LoverHer Sublime Submission6. Heloise, Adept Abbess and Mother7. Heloise of the Imagination8. Hildegard of Bingen, Sibyl of the Rhine9. Hildegard, Holy Hypochondriac10. Hildegard's Visionary Trilogy, Science and Letters11. Wholly Hildegard12. Eleanor's Lineage13. Eleanor, Duchess of Aquitaine, Queen of France14. Eleanor and the Politics of Estrangement15. Eleanor, Duchess of Aquitaine, Queen of England16. Eleanor the Dowager Queen17. Legendary Eleanor18. Joan of Arc and Her Times19. Joan Discovers Her Mission and Her Dauphin20. Joan the Warrior, Holy Berserker21. Joan's Success and Captivity22. Joan's Trial, Death, and Retrial23. Joan of the Imagination24. Four Pioneers

    36 lectures on 18 CDs (two 30 minute lectures per CD). In three parts, each in its own clamshell case. One course guidebook per part.

    That was indeed what life was like in the earliest settlements, but by 5,000 years ago, life in some places had become much more sophisticated than we might think. Impressive achievements - like stepped temples that towered like mountains, elaborate palaces (some with bathrooms and plumbing), and complex houses - were also a part of life for people who lived in cities that arose thousands of years ago, particularly in the fertile region that emerged along the Tigris and Euphrates Rivers.Welcome to Mesopotamia, the ancient name for the region that is now Iraq, a remarkably advanced civilization that flourished for two-thirds of the time that civilization has existed on Earth. Mesopotamians mastered irrigation agriculture; built the first complex urban societies; developed writing, literature, and law; and united vast regions through warfare and diplomacy. While civilizations like Greece and Rome have an unbroken tradition of written histories, the rich history of Mesopotamia has only been recently rediscovered, thanks to the decipherment of Mesopotamia's cuneiform writing less than 200 years ago. In this 24-lecture course taught by Professor Podany, you'll fill in the blanks of your historical understanding as you witness a whole new world opening before your eyes.Riveting stories about kings and priestesses as well as ordinary people from all walks of life transport you back in time, giving you invaluable insights into the history of a landmark region that has long been known as the cradle of civilization.