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Ancient perspectives : maps and their place in Mesopotamia, Egypt, Greece & Rome
Ancient Perspectives encompasses a vast arc of space and time—Western Asia to North Africa and Europe from the third millennium BCE to the fifth century CE—to explore mapmaking and worldviews in the ancient civilizations of Mesopotamia, Egypt, Greece, and Rome. In each society, maps served as critical economic, political, and personal tools, but there was little consistency in how and why they were made. Much like today, maps in antiquity meant very different things to different people.
Ancient Perspectives presents an ambitious, fresh overview of cartography and its uses. The seven chapters range from broad-based analyses of mapping in Mesopotamia and Egypt to a close focus on Ptolemy's ideas for drawing a world map based on the theories of his Greek predecessors at Alexandria. The remarkable accuracy of Mesopotamian city-plans is revealed, as is the creation of maps by Romans to support the proud claim that their emperor's rule was global in its reach. By probing the instruments and techniques of both Greek and Roman surveyors, one chapter seeks to uncover how their extraordinary planning of roads, aqueducts, and tunnels was achieved.
Even though none of these civilizations devised the means to measure time or distance with precision, they still conceptualized their surroundings, natural and man-made, near and far, and felt the urge to record them by inventive means that this absorbing volume reinterprets and compares.
eBook
Heavenly Mathematics
Spherical trigonometry was at the heart of astronomy and ocean-going navigation for two millennia. The discipline was a mainstay of mathematics education for centuries, and it was a standard subject in high schools until the 1950s. Today, however, it is rarely taught.Heavenly Mathematicstraces the rich history of this forgotten art, revealing how the cultures of classical Greece, medieval Islam, and the modern West used spherical trigonometry to chart the heavens and the Earth. Glen Van Brummelen explores this exquisite branch of mathematics and its role in ancient astronomy, geography, and cartography; Islamic religious rituals; celestial navigation; polyhedra; stereographic projection; and more. He conveys the sheer beauty of spherical trigonometry, providing readers with a new appreciation for its elegant proofs and often surprising conclusions.
Heavenly Mathematicsis illustrated throughout with stunning historical images and informative drawings and diagrams that have been used to teach the subject in the past. This unique compendium also features easy-to-use appendixes as well as exercises at the end of each chapter that originally appeared in textbooks from the eighteenth to the early twentieth centuries.
eBook