The horizons were of fundamental importance to Columbus. The western horizon was the focus of his lifelong quest for undiscovered territory. He used the stars grazing his northern horizon as his guides for sailing constant latitudes, and the lunar-planetary conjunctions (LPCs) at his eastern and western horizons to measure his longitudes. Most 15th Century oceanic sailors knew how to sail constant latitudes guided by the stars, but few, other than Columbus, knew how to use the heavens to measure longitude. His innovative navigation method measured longitudes by comparing measurements of LPCs at his eastern and western horizons using celestial data tabulated in his Ephemerides. Major findings include: Columbus used celestial events, he served on a 1477 voyage to Nova Scotia, comprehensive evidence reveals his 1492 landfall was at Egg Island, Amerigo Vespucci beat Ponce de Leon to Florida by a dozen years, and Columbus may have facilitated a deliberate sinking of the Santa Maria.

The impact of Christopher Columbus's first transatlantic voyage launched an unprecedented explosion of European exploration. Throughout the last 500 years, scholars have recognized this transforming event, and they have written extensively on the subject. To date, no American author has dedicated a book to Columbus's life before 1492. This biography does so, with a focus on geographical experiences that affected his formulation of a transatlantic concept. Incorporating extensive research from American and European scholars (historians, geographers, anthropologists, and cartographers), the author proposes that Columbus systematically built a transatlantic voyage proposal from knowledge gained on previous voyages in the Mediterranean Sea and Eastern Atlantic Ocean. The book's extensive use of maps place Columbus's actions on specific land and ocean locations. Persons interested in gleaning more information about Columbus's maritime background will find a plethora of maps to visualize the extent of his early travels.

Spanning more than 2,500 years in the history of art, Vision, Reflection, and Desire in Western Painting demonstrates how the rise and diffusion of the science of optics in ancient Greece and the Mediterranean world correlated to pictorial illusion in the development of Western painting from Hellenistic Greece to the present. Using examples from the late Middle Ages and the Renaissance, David Summers argues that scene-painting (architectural backdrops) and shadow-painting (in which forms are modeled or shown as if in relation to a source of light) not only evolved in close association with geometric optics toward the end of the fifth century B.C.E., but also contributed substantially to the foundations of the new science. The spread of understanding of how light is transmitted, reflected, and refracted is evident in the works of artists such as Brunelleschi, van Eyck, Alberti, and Leonardo. The interplay between optics and painting that influenced the course of Western art, Summers says, persisted as a framework for the realism of Caravaggio, Rembrandt, and Goya and continues today in modern photography and film.

This is a classic American tale of dreams and obsession--the suspenseful, brilliantly written account of one eccentric man’s hunger to open space travel to us all: to let us rocket into orbit, return to earth, and soar yet again--thus transforming space travel forever. They All Laughed at Christopher Columbus Gary Hudson was seven years old when Sputnik flew, nineteen when Neil Armstrong set foot on the moon, and all he ever wanted to do was to travel into space. Between 1970 and 1996 he founded and disbanded five separate rocket-building companies, none meeting with much success. Then, in 1997, at the age of forty-seven, he launched Rotary Rocket. His goal was to develop and build the Roton, the world’s first manned, single-stage-to-orbit, fully reusable spaceship, capable of shuttling ordinary people into orbit and back in a single day. Elizabeth Weil followed Gary for two years, and in this book she brings to vivid life a seductively--perhaps delusionally--optimistic world where science and science fiction meld and fuse, and where imagination and invention collide. In California’s bleak and windswept Mojave Desert, Gary assembled a fanatical, mismatched crew of engineers and technicians, and Weil bears witness to their Roton endeavor, from first conception to final test flight. The cast includes a pyromaniacal engineer, a world expert on composite airframes, two former Navy test pilots, Gary’s infinitely patient wife, a third-generation Mojave motel owner, and an enigmatic and resourceful financier. At their center shines Gary himself, a man eternally reflecting the glow of a better, lighter, higher world--a world that, despite his flaws and failures, he perpetually convinces us we’re all about to reach.

Where is paradise? It always seems to be elsewhere, inaccessible, outside of time. Either it existed yesterday or it will return tomorrow; it may be just around the corner, on a remote island, beyond the sea. Across a wide range of cultures, paradise is located in the distant past, in a longed-for future, in remote places or within each of us. In particular, people everywhere in the world share some kind of nostalgia for an innocence experienced at the beginning of history. For two millennia, learned Christians have wondered where on earth the primal paradise could have been located. Where was the idyllic Garden of Eden that is described in the Bible? In the Far East? In equatorial Africa? In Mesopotamia? Under the sea? Where were Adam and Eve created in their unspoiled perfection? Maps of Paradise charts the diverse ways in which scholars and mapmakers from the eighth to the twenty-first century rose to the challenge of identifying the location of paradise on a map, despite the certain knowledge that it was beyond human reach. Over one hundred illustrations celebrate this history of a paradox: the mapping of the unmappable. It is also a mirror to the universal dream of perfection and happiness, and the yearning to discover heaven on earth.

This book shows how such a computational process functions, how great is its power and versatility, since it is possible to show how discoveries are made. In 1759, A. Smith realized that there must exist an additional powerful control mechanism behind Great Britain’s authority and government, explaining the extraordinary successes of Great Britain. He called this the Invisible Hand. Despite having used this term only 3 times, the idea evokes extreme scientific and political emotions to this day. If we apply a molecular model of computation, such as in in Adleman’s DNA computer, a computational model for the Invisible Hand can be built to show how it affects a society. It is a spontaneous, unconscious, distributed, noncontinuous computational process on the platform of minds of, e.g., people or ants. Knowing this mechanism, a future self-steering and self-optimization system for AI robot teams can be proposed, e.g., for construction sites and rescue operations.