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The Geometry of an Art
This review of literature on perspective constructions from the Renaissance through the 18th century covers 175 authors, emphasizing Peiro della Francesca, Guidobaldo del Monte, Simon Stevin, Brook Taylor, and Johann Heinrich. It treats such topics as the various methods of constructing perspective, the development of theories underlying the constructions, and the communication between mathematicians and artisans in these developments.
The Discovery of Dynamics
Ever since Newton created dynamics, there has been controversy about its foundations. Are space and time absolute? Do they form a rigid but invisible framework and container of the universe? Or are space, time, and motion relative? If so, does Newton's 'framework' arise through the influence of the universe at large, as Ernst Mach suggested? Einstein's aim when creating his general theory of relativity was to demonstrate this and thereby implement 'Mach's Principle'. However, it is widely believed that he achieved only partial success. This question of whether motion is absolute or relative has been a central issues in philosophy; the nature of time has perennial interest. Current attempts t...
The Arabic Version of Euclid’s Optics
Like all classical Greek texts on science, Euclid's works on optics initially came to the West mainly through medieval Arabic texts and commentaries. While several Greek versions of the Optika were discovered and translated as early as the sixteenth century, sorting out what may have been Euclid's original has not been easy. This book presents a critical translation of an Arabic texts and of Arabic commentaries on the text, and places the whole in a historical context. The Optics is particularly interesting in that Euclid's text was considerably transformed in the process of translation into Arabic "equivalents"; in addition, several of the Arabic editions of Euclid's text (c. 300 BC) contained liberal admixtures of a much later book by Ptolemy (c. 200 AD) of the same title. What was referred to as "Euclid's Optics," the "Kitab Uqlidis fi Ikhtilaf al-manazir," thus became as much an exposition of an Arabic version of a visual theory as a translation of Euclid's ideas on the subject. In preparing this edition, Dr. Kheirandish has thus not only sorted out the various manuscript versions of Al-Manazir, but also related and unrelated texts that were often confused with it.
Science and Technology in World History, Volume 1
Science is a living, organic activity, the meaning and understanding of which have evolved incrementally over human history. This book, the first in a roughly chronological series, explores the development of the methodology and major ideas of science, in historical context, from ancient times to the decline of classical civilizations around 300 A.D. It includes details specific to the histories of specialized sciences including astronomy, medicine and physics--along with Roman engineering and Greek philosophy. It closely describes the contributions of such individuals as Pythagoras, Hippocrates, Socrates, Plato, Aristotle, Alexander the Great, Euclid, Archimedes, Ptolemy, Seneca, Pliny the Elder, and Galen.
Illustrating the Phaenomena
In this volume all extant celestial maps and globes made before 1500 are described and analysed. It also discusses the astronomical sources involved in making these artefacts in antiquity, the Middle Ages, the Islamic world and the European Renaissance before 1500.
Tradition, Transmission, Transformation
In this volume of conference papers originally presented at the University of Oklahoma, a distinguished group of scholars examines episodes in the transmission of premodern science and provides new insights into its cultural, philosophical and historical significance.
The Arithmetic of Infinitesimals
John Wallis (1616-1703) was the most influential English mathematician prior to Newton. He published his most famous work, Arithmetica Infinitorum, in Latin in 1656. This book studied the quadrature of curves and systematised the analysis of Descartes and Cavelieri. Upon publication, this text immediately became the standard book on the subject and was frequently referred to by subsequent writers. This will be the first English translation of this text ever to be published.
Eastern Wisedome and Learning
This book narrates the extraordinary growth in the study of Arabic in England from the late sixteenth century, when it was almost non-existent, to the end of the seventeenth. By its high point around 1666, England was preeminent among European countries in the study of Arabic. Permanent chairs of Arabic had been established at Oxford and Cambridge, and specialized presses in Oxford and London had produced important Arabic works. In this masterly and original study, Professor Toomer gives the first detailed account of this process, set against the religious and political background in England and in Europe. He shows how trade with the Ottoman Empire and mistrust of Islam influenced the study of Arabic. Finally, he traces the course and causes of the drastic decline in Arabic studies towards the end of the century.
A Remarkable Collection of Babylonian Mathematical Texts
The book analyzes the mathematical tablets from the private collection of Martin Schoyen. It includes analyses of tablets which have never been studied before. This provides new insight into Babylonian understanding of sophisticated mathematical objects. The book is carefully written and organized. The tablets are classified according to mathematical content and purpose, while drawings and pictures are provided for the most interesting tablets.
