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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...
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 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.
Naṣīr al-Dīn al-Ṭūsī’s Memoir on Astronomy (al-Tadhkira fī cilm al-hay’a)
I was introduced to Tiisi: and his Tadhkira some 19 years ago. That first meeting was neither happy nor auspicious. My graduate student notes from the time indicate a certain level of confusion and frustration; I seem to have had trouble with such words as tadwlr (epicycle), which was not to be found in my standard dictionary, and with the concept of solid-sphere astronomy, which, when found, was pooh-poohed in the standard sources. I had another, even more decisive reaction: boredom. Only the end of the term brought relief, and I was grateful to be on to other, more exciting aspects of the history of science. A few years later, I found myself, thanks to fellowships from Fulbright-Hays and t...
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.
Greek Science of the Hellenistic Era
We all want to understand the world around us, and the ancient Greeks were the first to try and do so in a way we can properly call scientific. Their thought and writings laid the essential foundations for the revivals of science in medieval Baghdad and renaissance Europe. Now their work is accessible to all, with this invaluable introduction to c.100 scientific authors active from 320 BCE to 230 CE. The book begins with an outline of a new socio-political model for the development and decline of Greek science, followed by eleven chapters that cover the main disciplines: * the science which the Greeks saw as fundamental - mathematics * astronomy * astrology and geography * mechanics * optics and pneumatics * the non-mathematical sciences of alchemy, biology, medicine and 'psychology'. Each chapter contains an accessible introduction on the origins and development of the topic in question, and all the authors are set in context with brief biographies.
Emergence of the Theory of Lie Groups
The great Norwegian mathematician Sophus Lie developed the general theory of transformations in the 1870s, and the first part of the book properly focuses on his work. In the second part the central figure is Wilhelm Killing, who developed structure and classification of semisimple Lie algebras. The third part focuses on the developments of the representation of Lie algebras, in particular the work of Elie Cartan. The book concludes with the work of Hermann Weyl and his contemporaries on the structure and representation of Lie groups which serves to bring together much of the earlier work into a coherent theory while at the same time opening up significant avenues for further work.
