In a lively investigation into the boundaries between popular culture and early-modern science, Sara Schechner presents a case study that challenges the view that rationalism was at odds with popular belief in the development of scientific theories. Schechner Genuth delineates the evolution of people's understanding of comets, showing that until the seventeenth century, all members of society dreaded comets as heaven-sent portents of plague, flood, civil disorder, and other calamities. Although these beliefs became spurned as "vulgar superstitions" by the elite before the end of the century, she shows that they were nonetheless absorbed into the science of Newton and Halley, contributing to their theories in subtle yet profound ways. Schechner weaves together many strands of thought: views of comets as signs and causes of social and physical changes; vigilance toward monsters and prodigies as indicators of God's will; Christian eschatology; scientific interpretations of Scripture; astrological prognostication and political propaganda; and celestial mechanics and astrophysics. This exploration of the interplay between high and low beliefs about nature leads to the conclusion that popular and long-held views of comets as divine signs were not overturned by astronomical discoveries. Indeed, they became part of the foundation on which modern cosmology was built.

This book reveals the rich collection of mathematical works located at the nation's first military school, the U.S. Military Academy at West Point. It outlines the relevant history of the Academy, discusses the mathematics department and curriculum, and describes the development of the library during the nineteenth century. A major part of this book is an annotated catalog of the more than 1300 works published between 1496 and 1915 found in the West Point library. Mathematics and its instruction greatly influenced the development of the Academy, the technological growth of America's army, and the standards of the military profession. These events, in turn, were crucial to the overall development of mathematics, mechanics, and engineering during the nineteenth century in the United States. Three individuals played a prominent role in this chronicle: Sylvanus Thayer, Charles Davies, and Albert Church. Listed are rare and historically valuable works in a broad range of mathematical subjects. The collection clearly shows the strong European influence on the early Academy. Also listed are numerous textbooks by West Point faculty and graduates; significant contributions were made by these writers to algebra, geometry, calculus, descriptive geometry, mechanics, surveying, and mathematics education. This book provides an important resource for the general audience as well as for those in pursuit of more scholarly information. It contains many interesting photographs and valuable details about the West Point collection. It is a must-have for anyone interested in mathematical books and collections.

Edmond Halley (1656-1742), MA, LLD, FRS, Capt. RN, Savillian Professor of Geometry and Astronomer Royal, stands pre-eminent among Oxford, English, and European scientists. A contemporary of Wren, Pepys, Hooke, Handel, Purcell, and Dryden, he was a schoolboy in London while the Great Fireraged, and was an active participant in the Enlightenment, an age of profound developments in all the arts and sciences. As a younger contemporary of Isaac Newton, he had a crucial part in the Newtonian revolution in the natural sciences. It was Halley who set the question that led Newton to writethe Principia, and who edited, paid for, and reviewed it. In later years he applied the methods of the Principia widely in astronomy and geophysics. Now more widely known for his prediction of the return of "his" comet, Halley discovered the proper motion of stars, made important studies of themoon's motion, and his investigations of the Earth's magnetic field and of tides were unrialled for centuries. His prediction of the transit of Venus led to Cook's voyage to Tahiti. He was far more than an cloistered academic; his exploits as a naval captain led to perilous adventures, and he wasalso a notable servant of the State. Much material about his eventful career has come to light in recent years, making this a timely new account of the life, scientific interests, and continuing influence of this engaging and adventurous scholar. Sir Alan Cook has written a fascinating andilluminating account of Halley's life and science, making this a unique and highly readable biography of one of the key figures of his time.