The Intersection of History and Mathematics

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Author(s): Joseph W. Dauben (auth.), Professor Ch. Sasaki, Professor M. Sugiura, Professor J. W. Dauben (eds.)
Series: Science Networks · Historical Studies 15
Edition: 1
Publisher: Birkhäuser Basel
Year: 1994

Language: English
Pages: 262
Tags: Mathematics, general

Front Matter....Pages i-x
Mathematics: an Historian’s Perspective....Pages 1-13
Une Méthode de Restitution—quelques exemples dans le cas de Pascal....Pages 15-24
The Birth of Maxwell’s Electro-Magnetic Field Equations....Pages 25-38
Complex Curves — Origins and Intrinsic Geometry....Pages 39-50
From Gauß to Weierstraß: Determinant Theory and Its Historical Evaluations....Pages 51-66
The Reciprocity Law from Euler to Eisenstein....Pages 67-90
Three Aspects of the Theory of Complex Multiplication....Pages 91-108
The Establishment of the Takagi-Artin Class Field Theory....Pages 109-128
Where Did Twentieth-Century Mathematics Go Wrong?....Pages 129-142
Indian Mathematics in Arabic....Pages 143-148
The Tetsujutsu Sankei (1722), an 18th Century Treatise on the Methods of Investigation in Mathematics....Pages 149-164
The Adoption of Western Mathematics in Meiji Japan, 1853–1903....Pages 165-186
The Philosophical Views of Klein and Hilbert....Pages 187-202
Hermann Weyl’s Contribution to Geometry, 1917–1923....Pages 203-230
The Origins of Infinite Dimensional Unitary Representations of Lie Groups....Pages 231-240
Dispelling a Myth: Questions and Answers about Bourbaki’s Early Work, 1934–1944....Pages 241-252
Questions in the Historiography of Modern Mathematics: Documentation and the Use of Primary Sources [Abstract]....Pages 253-254
Back Matter....Pages 255-262