Social History of Nineteenth Century Mathematics

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During the last few decades historians of science have shown a growing interest in science as a cultural activity and have regarded science more and more as part of the gene­ ral developments that have occurred in society. This trend has been less evident arnong historians of mathematics, who traditionally concentrate primarily on tracing the develop­ ment of mathematical knowledge itself. To some degree this restriction is connected with the special role of mathematics compared with the other sciences; mathematics typifies the most objective, most coercive type of knowledge, and there­ fore seems to be least affected by social influences. Nevertheless, biography, institutional history and his­ tory of national developments have long been elements in the historiography of mathematics. This interest in the social aspects of mathematics has widened recently through the stu­ dy of other themes, such as the relation of mathematics to the development of the educational system. Some scholars have begun to apply the methods of historical sociology of knowledge to mathematics; others have attempted to give a ix x Marxist analysis of the connection between mathematics and productive forces, and there have been philosophical studies about the communication processes involved in the production of mathematical knowledge. An interest in causal analyses of historical processes has led to the study of other factors influencing the development of mathematics, such as the f- mation of mathematical schools, the changes in the profes- onal situation of the mathematician and the general cultural milieu of the mathematical scientist.

Author(s): Henk Bos (auth.), Herbert Mehrtens, Henk Bos, Ivo Schneider (eds.)
Edition: 1
Publisher: Birkhäuser Basel
Year: 1981

Language: English
Pages: 301
Tags: History of Mathematical Sciences; Mathematics, general

Front Matter....Pages i-xii
Front Matter....Pages 1-1
Introduction....Pages 3-5
Mathematics in the Early Part of the Nineteenth Century....Pages 6-20
Origins of the Program of “Arithmetization of Mathematics”....Pages 21-49
Mathematics and Revolution from Lacroix to Cauchy....Pages 50-71
Front Matter....Pages 73-73
Introduction....Pages 75-88
Forms of Professional Activity in Mathematics before the Nineteenth Century....Pages 89-110
The Conception of Pure Mathematics as an Instrument in the Professionalization of Mathematics....Pages 111-134
Cambridge University and the Adoption of Analytics in Early Nineteenth-Century England....Pages 135-148
A Survey of Factors Affecting the Teaching of Mathematics Outside the Universities in Britain in the Nineteenth Century....Pages 149-164
Mathematics in a Unified Italy....Pages 165-178
The Employment of Mathematicians in Insurance Companies in the 19th Century....Pages 179-196
Front Matter....Pages 197-197
Introduction....Pages 199-201
Hamilton and Peacock on the Essence of Algebra....Pages 202-232
The Berlin School of Mathematics....Pages 233-245
F. Schleiermacher’s Influence on H. Grassmann’s Mathematics....Pages 246-254
Back Matter....Pages 255-301