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Writing the History of Mathematics: Its Historical Development
As an historiographic monograph, this book offers a detailed survey of the professional evolution and significance of an entire discipline devoted to the history of science. It provides both an intellectual and a social history of the development of the subject from the first such effort written by the ancient Greek author Eudemus in the Fourth Century BC, to the founding of the international journal, Historia Mathematica, by Kenneth O. May in the early 1970s.
Qanats and Historic Structures in Persia
Qanats and Historic Structures in Persia presents the early history of water science and includes the advanced knowledge held by Persians regarding the hydrologic cycle in general and groundwater flow in particular. It explains how the Persians understood the sources of rivers, streams, springs, and groundwater, at least seven centuries before it was known to western scholars, and how their use of underground water tunnels allowed them to transform deserts into centers of civilization and food production for thousands of years. It also presents an overview of ancient canals, weir bridges, dams, water storage structures, and water dividers constructed to supply water for irrigation and domestic needs. Presents numerous examples of how qanats are used throughout the world, including the Middle East, Africa, Asia, Europe, and South America. Includes descriptions and photographs of historic structures, some of which are still operational after hundreds of years. Written in an accessible and informative way, the book contains neither equations nor rigorous technical material. Examines the renowned scholars of the late ninth through twelfth centuries, namely the Persian Golden Era.
History of Continued Fractions and Padé Approximants
The history of continued fractions is certainly one of the longest among those of mathematical concepts, since it begins with Euclid's algorithm for the great est common divisor at least three centuries B.C. As it is often the case and like Monsieur Jourdain in Moliere's "Ie bourgeois gentilhomme" (who was speak ing in prose though he did not know he was doing so), continued fractions were used for many centuries before their real discovery. The history of continued fractions and Pade approximants is also quite im portant, since they played a leading role in the development of some branches of mathematics. For example, they were the basis for the proof of the tran scendence of 11' in 1882, an open problem for more than two thousand years, and also for our modern spectral theory of operators. Actually they still are of great interest in many fields of pure and applied mathematics and in numerical analysis, where they provide computer approximations to special functions and are connected to some convergence acceleration methods. Con tinued fractions are also used in number theory, computer science, automata, electronics, etc ...
Haydn ́s Universal Index of Biography
Reprint of the original, first published in 1870.
Encyclopaedia of the History of Science, Technology, and Medicine in Non-Westen Cultures
The Encyclopaedia fills a gap in both the history of science and in cultural stud ies. Reference works on other cultures tend either to omit science completely or pay little attention to it, and those on the history of science almost always start with the Greeks, with perhaps a mention of the Islamic world as a trans lator of Greek scientific works. The purpose of the Encyclopaedia is to bring together knowledge of many disparate fields in one place and to legitimize the study of other cultures' science. Our aim is not to claim the superiority of other cultures, but to engage in a mutual exchange of ideas. The Western aca demic divisions of science, technology, and medicine have been united ...
The Topkapi Scroll
Since precious few architectural drawings and no theoretical treatises on architecture remain from the premodern Islamic world, the Timurid pattern scroll in the collection of the Topkapi Palace Museum Library is an exceedingly rich and valuable source of information. In the course of her in-depth analysis of this scroll dating from the late fifteenth or early sixteenth century, Gülru Necipoğlu throws new light on the conceptualization, recording, and transmission of architectural design in the Islamic world between the tenth and sixteenth centuries. Her text has particularly far-reaching implications for recent discussions on vision, subjectivity, and the semiotics of abstract representat...
Al-Karaji
Tenth-century mathematician al-Karaji is best known for his writings on algebra and for freeing algebra from geometry. The scholar spent most of his life in Baghdad, where he established a school for algebra and served as a vizier for the Abbasid government. Al-Karaji also was an accomplished engineer who wrote extensively on water extraction. Many of his hydrological ideas are still used in the Middle East today. While some modern scholars question his originality, others maintain he was an important transition between ancient mathematics and modern algebra.
Success and Suppression
The Renaissance marked a turning point in Europe’s relationship to Arabic thought. On the one hand, Dag Nikolaus Hasse argues, it was the period in which important Arabic traditions reached the peak of their influence in Europe. On the other hand, it is the time when the West began to forget, and even actively suppress, its debt to Arabic culture. Success and Suppression traces the complex story of Arabic influence on Renaissance thought. It is often assumed that the Renaissance had little interest in Arabic sciences and philosophy, because humanist polemics from the period attacked Arabic learning and championed Greek civilization. Yet Hasse shows that Renaissance denials of Arabic influe...
