Ideas and Their Reception
Proceedings of the Symposium on the History of Modern Mathematics, Vassar College, Poughkeepsie, New York, June 20-24, 1989
Published on 10. May 2014
470 pages
978-1-4832-6621-3 (ISBN)
Description
The History of Modern Mathematics, Volume I: Ideas and their Reception documents the proceedings of the Symposium on the History of Modern Mathematics held at Vassar College in Poughkeepsie, New York on June 20-24, 1989. This book is concerned with the emergence and reception of major ideas in fields that range from foundations and set theory, algebra and invariant theory, and number theory to differential geometry, projective and algebraic geometry, line geometry, and transformation groups. Other topics include the theory of reception for the history of mathematics and British synthetic vs. French analytic styles of algebra in the early American Republic. The early geometrical works of Sophus Lie and Felix Klein, background to Gergonne's treatment of duality, and algebraic geometry in the late 19th century are also elaborated. This volume is intended for students and researchers interested in developments in pure mathematics.
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David E. Rowe | John McCleary
The History of Modern Mathematics: v. 1
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12/1989
Academic Press
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Content
Table of Contents for Volume IIContributors ListPrefaceThe Context of Reception A Theory of Reception for the History of Mathematics Riemann's Habilitationsvortrag and the Synthetic A Priori Status of GeometryFoundations of Mathematics Cantor's Views on the Foundations of Mathematics Kronecker's Views on the Foundations of Mathematics Toward a History of Cantor's Continuum ProblemNational Styles in Algebra British Synthetic vs. French Analytic Styles of Algebra in the Early American Republic Toward a History of Nineteenth-Century Invariant TheoryGeometry and the Emergence of Transformation Groups The Early Geometrical Works of Sophus Lie and Felix Klein Line Geometry, Differential Equations, and the Birth of Lie's Theory of GroupsProjective and Algebraic Geometry The Background to Gergonne's Treatment of Duality: Spherical Trigonometry in the Late 18th Century Algebraic Geometry in the Late Nineteenth CenturyAbel's Theorem Abel's TheoremNumber Theory Heinrich Weber and the Emergence of Class Field TheoryNotes on the Contributors
