This book casts new light on the process that in the sixteenth and seventeenth centuries led to a profound transformation in the study of nature with the emergence of mechanistic philosophy, the new mixed mathematics, and the establishment of the experimental approach. It is argued that modern European science originated from Hellenistic mathematics not so much because of rediscovery of the latter but rather because its "applied" components, namely mechanics, optics, harmonics, and astronomy, and their methodologies continued to be transmitted throughout the Middle Ages without serious interruption. Furthermore, it is proposed that these "applied" components played a role in their entirety; thus, for example, "new" mechanics derived not only from "old" mechanics but also from harmonics, optics, and astronomy. Unlike other texts on the subject, the role of mathematicians is stressed over that of philosophers of nature and the focus is particularly on epistemological aspects. In exploring Galilean and post-Galilean epistemology, attention is paid to the contributions of Galileo's disciples and also the impact of his enemies. The book will appeal to both historians of science and scientists.
Rezensionen / Stimmen
"For those interested in a deep understanding of the changes in (applied) mathematics-as well as in natural philosophy-that occurred in the early modern era, the pleasant reading of the present book is certainly encouraged." (Salvatore Esposito, Mathematical Reviews, March, 2018)
"This deep and well documented work traces the history of the (increasingly) mathematical treatment of natural phenomena . from the time of Plato and Aristotle to Descartes. . The breadth of sources and the care with which they are documented should make this work an important source for those with a strong interest in the history of science. The author introduces the work and methods of the famous and the not-so-famous in an engaging, detailed and complete manner." (Richard J. Wilders, MAA Reviews, September, 2017)
Reihe
Auflage
Sprache
Verlagsort
Verlagsgruppe
Springer International Publishing
Zielgruppe
Für höhere Schule und Studium
Illustrationen
118
118 s/w Abbildungen
XIII, 533 p. 118 illus.
Maße
Höhe: 241 mm
Breite: 160 mm
Dicke: 35 mm
Gewicht
ISBN-13
978-3-319-58309-9 (9783319583099)
DOI
10.1007/978-3-319-58310-5
Schweitzer Klassifikation
Danilo Capecchi is Professor of Mechanics of Solids and History of Science at the University of Rome La Sapienza. His research into the history of science focuses mainly on classical mechanics.
Ancient mixed mathematics.- Skills and mathematics in the Renaissance Italy.- New forms of natural philosophy and mixed mathematics.- Galilean epistemology.- Post-Galilean epistemology. Experimental physico-mathematica.- Concluding remarks.
