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The Mathematics of the Heavens and the Earth

The Mathematics of the Heavens and the Earth is the first major history in English of the origins and early development of trigonometry. Glen Van Brummelen identifies the earliest known trigonometric precursors in ancient Egypt, Babylon, and Greece, and he examines the revolutionary discoveries of Hipparchus, the Greek astronomer believed to have been the first to make systematic use of trigonometry in the second century BC while studying the motions of the stars. The book traces trigonometry's development into a full-fledged mathematical discipline in India and Islam; explores its applications to such areas as geography and seafaring navigation in the European Middle Ages and Renaissance; and shows how trigonometry retained its ancient roots at the same time that it became an important part of the foundation of modern mathematics. The Mathematics of the Heavens and the Earth looks at the controversies as well, including disputes over whether Hipparchus was indeed the father of trigonometry, whether Indian trigonometry is original or derived from the Greeks, and the extent to which Western science is indebted to Islamic trigonometry and astronomy. The book also features extended excerpts of translations of original texts, and detailed yet accessible explanations of the mathematics in them. No other book on trigonometry offers the historical breadth, analytical depth, and coverage of non-Western mathematics that readers will find in The Mathematics of the Heavens and the Earth.

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Geography, Technology and Instruments of Exploration

Focusing on aspects of the functioning of technology, and by looking at instruments and at instrumental performance, this book addresses the epistemological questions arising from examining the technological bases to geographical exploration and knowledge claims. Questions of geography and exploration and technology are addressed in historical and contemporary context and in different geographical locations and intellectual cultures. The collection brings together scholars in the history of geographical exploration, historians of science, historians of technology and, importantly, experts with curatorial responsibilities for, and museological expertise in, major instrument collections. Ranging in their focus from studies of astronomical practice to seismography, meteorological instruments and rockets, from radar to the hand-held barometer, the chapters of this book examine the ways in which instruments and questions of technology - too often overlooked hitherto - offer insight into the connections between geography and exploration.