But there is one other motive which is as strong as any of these — the search for beauty. Mathematics is an art, and as such affords the pleasures which all the arts afford." In this erudite, entertaining college-level text, Morris Kline, Professor Emeritus of Mathematics at New York University, provides the liberal arts student with a detailed treatment of mathematics in a cultural and historical context. The book can also act as a self-study vehicle for advanced high school students and laymen. Professor Kline begins with an overview, tracing the development of mathematics to the ancient Greeks, and following its evolution through the Middle Ages and the Renaissance to the present day. Subsequent chapters focus on specific subject areas, such as "Logic and Mathematics," "Number: The Fundamental Concept," "Parametric Equations and Curvilinear Motion," "The Differential Calculus," and "The Theory of Probability." Each of these sections offers a step-by-step explanation of concepts and then tests the student's understanding with exercises and problems. At the same time, these concepts are linked to pure and applied science, engineering, philosophy, the social sciences or even the arts.In one section, Professor Kline discusses non-Euclidean geometry, ranking it with evolution as one of the "two concepts which have most profoundly revolutionized our intellectual development since the nineteenth century." His lucid treatment of this difficult subject starts in the 1800s with the pioneering work of Gauss, Lobachevsky, Bolyai and Riemann, and moves forward to the theory of relativity, explaining the mathematical, scientific and philosophical aspects of this pivotal breakthrough. Mathematics for the Nonmathematician exemplifies Morris Kline's rare ability to simplify complex subjects for the nonspecialist.

    Yet at the start of the first century BC, Rome, outnumbered and out-generaled, faced a hostile army less than a week's march from the Capitol. It is probable that only a swift surrender prevented the city from being attacked and sacked. Before that point, three Roman consuls had died in battle, and two Roman armies had been soundly defeated - not in some foreign field, but in the heartland of Italy.So who were this enemy who so comprehensively knocked Rome to its knees? What army could successfully challenge the legions which had been undefeated from Spain to the Euphrates? And why is that success almost unknown today?These questions are answered in this book, a military and political history of the Social War of 90-88BC. This tells the story of the revolt of Rome's Italian allies (socii in Latin - hence the name of the war). Because these Italian allies had the arms, training and military systems of the Roman army which they usually fought alongside, all Rome's usual military advantages were nullified. This brought the war down to a clash of generals, with the Roman rivals Gaius Marius and Cornelius Sulla spending almost as much time in political intrigue as combat with the enemy. The Italian leaders had to manage an equally fractious coalition of peoples. Some tribes sought negotiation with Rome, and others would settle for nothing less than the total extermination of the city and its people.The interplay of personalities (the young Cicero, Cato, and Pompey were also protagonists); high-stakes politics and full-scale warfare combine with assassination; personal sacrifice and desperate measures (such as raising an army of freed slaves) to make for a taut, fast-paced tale.

    You may find it for free on the web. Purchase of the Kindle edition includes wireless delivery.

    Of these, gravity may the most obvious, but it is also the most mysterious. Newton managed to predict the force of gravity but couldn't explain how it worked at a distance. Einstein picked up on the simple premise that gravity and acceleration are interchangeable to devise his mind-bending general relativity, showing how matter warps space and time. Not only did this explain how gravity worked – and how apparently simple gravitation has four separate components – but it predicted everything from black holes to gravity's effect on time. Whether it's the reality of anti-gravity or the unexpected discovery that a ball and a laser beam drop at the same rate, gravity is the force that fascinates.

    A rich source of information for readers of all ages, this book is divided into two sections, first looking at major sources of symbols (basic shapes, colors and numbers, the natural world), then, placing symbols in context of mythologies and religions, the human life cycle, people and culture, and symbol systems. Clear cross-referencing illuminates connections between symbols, while beautiful artwork and photography make this a collector's edition to treasure.

    Now Garfield takes on a subject even dearer to our fanatical human hearts: maps.Imagine a world without maps. How would we travel? Could we own land? What would men and women argue about in cars? Scientists have even suggested that mapping—not language—is what elevated our prehistoric ancestors from ape-dom. Follow the history of maps from the early explorers’ maps and the awe-inspiring medieval Mappa Mundi to Google Maps and the satellite renderings on our smartphones, Garfield explores the unique way that maps relate and realign our history—and reflect the best and worst of what makes us human.Featuring a foreword by Dava Sobel and packed with fascinating tales of cartographic intrigue, outsize personalities, and amusing “pocket maps” on an array of subjects from how to fold a map to the strangest maps on the Internet, On the Map is a rich historical tapestry infused with Garfield’s signature narrative flair. Map-obsessives and everyone who loved Just My Type will be lining up to join Garfield on his audacious journey through time and around the globe.

    In The Beginnings of Western Science, David C. Lindberg provides a rich chronicle of the development of scientific ideas, practices, and institutions from the pre-Socratic Greek philosophers to the late-medieval scholastics.Lindberg surveys all the most important themes in the history of ancient and medieval science, including developments in cosmology, astronomy, mechanics, optics, alchemy, natural history, and medicine. He synthesizes a wealth of information in superbly organized, clearly written chapters designed to serve students, scholars, and nonspecialists alike. In addition, Lindberg offers an illuminating account of the transmission of Greek science to medieval Islam and subsequently to medieval Europe. And throughout the book he pays close attention to the cultural and institutional contexts within which scientific knowledge was created and disseminated and to the ways in which the content and practice of science were influenced by interaction with philosophy and religion. Carefully selected maps, drawings, and photographs complement the text.Lindberg's story rests on a large body of important scholarship produced by historians of science, philosophy, and religion over the past few decades. However, Lindberg does not hesitate to offer new interpretations and to hazard fresh judgments aimed at resolving long-standing historical disputes. Addressed to the general educated reader as well as to students, his book will also appeal to any scholar whose interests touch on the history of the scientific enterprise.

    This is the classic introduction for the educated lay reader to the richly diverse world of mathematics: its history, philosophy, principles, and personalities.

    Each image alone exposes a nugget of our planet's magnificence; the totality of the collection goes beyond our imagination. Turning the pages, viewers are struck by the richness of life on Earth. One photograph is more awe-inspiring than the next--chosen by veteran National Geographic Magazine photo editors to present what is visually incredible. The photographs are drawn from the popular "Visions of Earth" feature in the magazine, (rated #1 by readers), from our own storied Image Collection, and from renowned photographers throughout the world, many never-before published.Enthralling images fill the book in a gallery of stunning landscapes, fascinating people, amazing animals, and unexpected glimpses of the usual and unusual. Puffins' beaks signal breeding time in Norway and a speckled emperor moth in South Africa diverts predators with an illusion. An elephant takes a morning dip in India's Andaman Sea while Siamese crocodiles race in Thailand and surfers in Australia relish a perfect day. Monks in Bhutan run to dinner and a little girl in red stands out among white-robed women in an Indonesian mosque. Spanish youth decked in colorful, oversize papier-mâché heads celebrate a festival in Catalonia and a flower of flame blooms from a man's kerosene-filled mouth in a Sikh celebration in India.Around the globe, amazing moments are captured in time, from a spray of flash frozen petal fragments in California to a truck show of chrome-covered and gleaming neon rigs half the world away in Japan. Visions of Earth is a welcome escape from the news of natural disasters, conflict, political upheaval, and social unrest that fills our lives. The book delights our senses, ignites our emotions, and renews our optimism, showcasing the many ways that our world is a marvel to behold and a privilege to call home.

    One hundred crystal-clear articles explore the Law Code of Hammurabi, the Renaissance, the American Revolution, World War II, and much, much more, bringing the events and people of history to life.As part of DK's award-winning Big Ideas Simply Explained series, The History Book uses infographics and images to explain key ideas and themes. Biographies of key leaders, thinkers, and warriors, from Julius Caesar to Barack Obama, offer insight into their lives and further historical insight into these world-changing episodes.The History Book makes the past 4,000 years of history accessible and provides enlightenment on the forces that shaped the world as we know it today, for students and history buffs alike.Series Overview: Big Ideas Simply Explained series uses creative design and innovative graphics, along with straightforward and engaging writing, to make complex subjects easier to understand. These award-winning books provide just the information needed for students, families, or anyone interested in concise, thought-provoking refreshers on a single subject.Reviews:"[The Big Ideas Simply Explained books] are beautifully illustrated with shadow-like cartoons that break down even the most difficult concepts so they are easier to grasp. These step-by-step diagrams are an incredibly clever learning device to include, especially for visual learners." - Examiner.com"The visual layout promotes browsing with illustrations, pull quotes, and simple mind maps to explain concepts quickly." - Library Journal"Accessible guide to the great thinkers." - School Library Journal"Clever and engaging." - Booklist

    Breaking down the symbols themselves, they pose a series of questions: What is energy? What is mass? What has the speed of light got to do with energy and mass? In answering these questions, they take us to the site of one of the largest scientific experiments ever conducted. Lying beneath the city of Geneva, straddling the Franco-Swiss boarder, is a 27 km particle accelerator, known as the Large Hadron Collider. Using this gigantic machine—which can recreate conditions in the early Universe fractions of a second after the Big Bang—Cox and Forshaw will describe the current theory behind the origin of mass.Alongside questions of energy and mass, they will consider the third, and perhaps, most intriguing element of the equation: 'c' - or the speed of light. Why is it that the speed of light is the exchange rate? Answering this question is at the heart of the investigation as the authors demonstrate how, in order to truly understand why E=mc2, we first must understand why we must move forward in time and not backwards and how objects in our 3-dimensional world actually move in 4-dimensional space-time. In other words, how the very fabric of our world is constructed. A collaboration between two of the youngest professors in the UK, Why Does E=mc2? promises to be one of the most exciting and accessible explanations of the theory of relativity in recent years.

    English is a glorious mess of a language, cobbled together from a wide variety of sources and syntaxes, and changing over time with popular usage. Many of the words and usages we embrace as standard and correct today were at first considered slang, impolite, or just plain wrong. Filled with historic and contemporary examples, the book chronicles the long and entertaining history of language mistakes, and features some of our most common words and phrases. This is a book that will settle arguments among word lovers—and it’s sure to start a few, too.

    With black and white illustrations. "Here is a new collection of Gould's unexpected connections between evolution and all manner of subjects, literature high among them. Gathered from his monthly column in "Natural History" magazine, these articles should delight, surprise, and inform his vast readership, as have his six prior volumes of essays. Somehow the light bulb pops on every month as his deadline approaches, some glowing fact pulled out of memory--often a line from Shakespeare or Tennyson--that illumines a generality Gould wishes to discuss. "Nature, red in tooth and claw" (Lord Alfred's line) induces dilations on the extent science can inform moral matters (not much, Gould believes); a remembrance of the infamous Wansee protocol prompts Gould's denunciation of the genocidal looting of evolutionary theory and, by extension, its vulnerability to ignoramuses in general. These two examples of the Gouldian essay method, fortunately, don't foreshadow a gloomy parade of topics: Gould can as easily alight at the fun house where mass culture absorbs ideas about evolution through movies of monsters run amok from Frankenstein to Jurassic Park. In other essays, he plunges directly into matters of evolutionary interpretation but customarily employs a literary twist: who else but Gould could link Edgar Allan Poe with his own area of professional eminence, the paleontology of snails? A discovery awaits in every essay--in every haystack--which solidifies Gould as one of the most eloquent science popularizers writing today."--"Booklist"

    Now William Dunham gives them the attention they deserve.Dunham places each theorem within its historical context and explores the very human and often turbulent life of the creator — from Archimedes, the absentminded theoretician whose absorption in his work often precluded eating or bathing, to Gerolamo Cardano, the sixteenth-century mathematician whose accomplishments flourished despite a bizarre array of misadventures, to the paranoid genius of modern times, Georg Cantor. He also provides step-by-step proofs for the theorems, each easily accessible to readers with no more than a knowledge of high school mathematics.A rare combination of the historical, biographical, and mathematical, Journey Through Genius is a fascinating introduction to a neglected field of human creativity.

    “The group of beliefs which constituted what for convenience' sake is called the Egyptian religion in an existence of some thousands of years passed through nearly every phase known to the student of comparative mythology. If the theologians of ancient Egypt found it impossible to form a pantheon of deities with any hope of consistency, assigning to each god or goddess his or her proper position in the divine galaxy as ruling over a definite sphere, cosmic or psychical, it may be asked in what manner the modern mythologist is better equipped to reduce to order elements so recondite and difficult of elucidation as the mythic shapes of the divinities worshipped in the Nile Valley.”