Diese Arbeit enthiilt zwei grof3ere Fallstudien zur Beziehung zwischen theo- retischer Mathematik und Anwendungen im 19. Jahrhundert. Sie ist das Ergebnis eines mathematikhistorischen Forschungsprojekts am Mathemati- schen Fachbereich der Universitiit-Gesamthochschule Wuppertal und wurde dort als Habilitationsschrift vorgelegt. Ohne das wohlwollende Interesse von Herrn H. Scheid und den Kollegen der Abteilung fUr Didaktik der Mathema- tik ware das nicht moglich gewesen: Inhaltlich verdankt sie - direkt oder indirekt - vielen Beteiligten et- was. So wurde mein Interesse an den...
Diese Arbeit enthiilt zwei grof3ere Fallstudien zur Beziehung zwischen theo- retischer Mathematik und Anwendungen im 19. Jahrhundert. Sie ist das Erge...
To attempt to compile a relatively complete bibliography of the theory of functions of a real variable with the requisite bibliographical data, to enumer- ate the names of the mathematicians who have studied this subject, exhibit their fundamental results, and also include the most essential biographical data about them, to conduct an inventory of the concepts and methods that have been and continue to be applied in the theory of functions of a real variable ... in short, to carry out anyone of these projects with appropriate completeness would require a separate book involving a...
To attempt to compile a relatively complete bibliography of the theory of functions of a real variable with the requisite bibliographical data, to enu...
Die Entstehung des chemischen Verbindungsbegriffs, ein Fundamentalbegriff der neuzeitlichen Chemie, ist kaum untersucht, weil er fur eine blosse Prazisierung des naturphilosophischen Atomkonzepts gehalten wurde. Das Buch widerlegt diese Ansicht als ideengeschichtliches Vorurteil und weist minutios nach, dass der Verbindungsbegriff als Resultat der begrifflichen Strukturierung des empirischen Wissens entstand, das aus der gewerblichen chemischen Praxis des 16. und 17. Jahrhunderts stammte. Damit rekonstruiert die Autorin nicht allein den Beginn der wissenschaftlichen Chemie in einer...
Die Entstehung des chemischen Verbindungsbegriffs, ein Fundamentalbegriff der neuzeitlichen Chemie, ist kaum untersucht, weil er fur eine blosse Pr...
During the first decades of the last century Italian mathematics was considered to be the third national school due to its importance and the high level of its numerous - searchers. The decision to organize the 1908 International Congress of Mathematicians in Rome (after those in Paris and Heidelberg) confirmed this position. Qualified Italian universities were permanently included in the tour organized for young mathematicians improvement. Even in the years after the First World War, Rome (together with Paris and Gottingen) remained an important mathematical center according to the American...
During the first decades of the last century Italian mathematics was considered to be the third national school due to its importance and the high lev...
In the 5th century the Indian mathematician Aryabhata (476-499) wrote a small but famous work on astronomy, the Aryabhatiya. This treatise, written in 118 verses, gives in its second chapter a summary of Hindu mathematics up to that time. Two hundred years later, an Indian astronomer called Bhaskara glossed this mathematial chapter of the Aryabhatiya.
An english translation of Bhaskara s commentary and a mathematical supplement are presented in two volumes.
Subjects treated in Bhaskara s commentary range from computing the volume of an equilateral...
In the 5th century the Indian mathematician Aryabhata (476-499) wrote a small but famous work on astronomy, the Aryabhatiya. This treatise,...
This set of books presents an english translation of a 7th century sanskrit commentary written by an astronomer called Bhaaskara. There are two volumes:
Volume I contains an introduction and the literal translation. The introduction aims at providing a general background for the translation and is divided in three sections: The first locates Bhaaskara's text, the second looks at its mathematical contents and the third section analyzes the relations of the commentary and the translation. Subjects treated range from computing the volume of an equilateral tetrahedron to the interest on a...
This set of books presents an english translation of a 7th century sanskrit commentary written by an astronomer called Bhaaskara. There are two vol...
This book reconstructs, from both historical and theoretical points of view, Leibniz s geometrical studies, focusing in particular on the research Leibniz carried out in his final years. The work s main purpose is to offer a better understanding of the philosophy of space and in general of the mature Leibnizean metaphysics. This is the first ever, comprehensive historical reconstruction of Leibniz s geometry.
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This book reconstructs, from both historical and theoretical points of view, Leibniz s geometrical studies, focusing in particular on the research ...