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Nearly a century after it was first published in 1925, Medieval Cities remains one of the most provocative works of medieval history ever written. Here, Henri Pirenne argues that it was not the invasion of the Germanic tribes that destroyed the civilization of antiquity, but rather the closing of Mediterranean trade by Arab conquest in the seventh century. The consequent interruption of long-distance commerce accelerated the decline of the ancient cities of Europe. Pirenne challenges conventional wisdom by attributing the origins of medieval cities to the revival of trade, tracing their growth from the tenth century to the twelfth. He also describes the important role the middle class played in the development of the modern economic system and modern culture. Featuring a new introduction by Michael McCormick, this Princeton Classics edition of Medieval Cities is essential reading for all students of medieval European history. Product details ...

Newton's laws of motion and his universal law of gravitation described mathematically the motion of two bodies undergoing mutual gravitational attraction. However, it is impossible to solve analytically the equation of motion for three gravitationally interacting bodies. This book discusses some techniques used to obtain numerical solutions of the equations of motion for planets and satellites, which are of fundamental importance to solar-system dynamicists and to those involved in planning the orbits of artificial satellites. The first part introduces the classical two-body problem and solves it by rigorously developing the six integrals of the motion, starting from Newton's three laws of motion and his law of gravitation and then using vector algebra to develop the integrals. The various forms of the solution flow naturally from the integrals. In the second part, several modern perturbation techniques are developed and applied to cases of practical importance. For example, t...

Roughly half the world's population speaks languages derived from a shared linguistic source known as Proto-Indo-European. But who were the early speakers of this ancient mother tongue, and how did they manage to spread it around the globe? Until now their identity has remained a tantalizing mystery to linguists, archaeologists, and even Nazis seeking the roots of the Aryan race. The Horse, the Wheel, and Language lifts the veil that has long shrouded these original Indo-European speakers, and reveals how their domestication of horses and use of the wheel spread language and transformed civilization. Linking prehistoric archaeological remains with the development of language, David Anthony identifies the prehistoric peoples of central Eurasia's steppe grasslands as the original speakers of Proto-Indo-European, and shows how their innovative use of the ox wagon, horseback riding, and the warrior's chariot turned the Eurasian steppes into a thriving transcontinental corrido...

The Description for this book, Consumer Credit Cost, 1949-1959, will be forthcoming. Product details Format Hardback | 184 pages Publication date 21 Jul 1964 Publisher Princeton University Press Publication City/Country ...