Ideas and Their Reception: Proceedings of the Symposium on the History of Modern Mathematics, Vassar College, Poughkeepsie, New York, June 20-24, 1989David E. Rowe, John McCleary Academic Press, 10 de maig 2014 - 470 pàgines 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. |
Continguts
Foundations of Mathematics | 47 |
National Styles in Algebra | 123 |
Geometry and the Emergence Of Transformation Groups | 207 |
Projective and Algebraic Geometry | 329 |
Abels Theorem | 387 |
Number Theory | 423 |
Notes on the Contributors | 451 |
Frases i termes més freqüents
Abel Abel's Theorem algebraic analytic angewandte Mathematik Annalen Aronhold Arthur Cayley asymptotic curves axioms Berlin binary Brill and Noether Cantor cardinal Cayley Cayley's class field Clebsch coefficients concept contact transformations Continuum Hypothesis Continuum Problem correspondence covariants curves Dedekind degree determined developed differential equations discussion dual duality Erlangen Program Euler Felix Klein finite formula French functions fundamental Galois Gauss Gergonne given Gordan Göttingen Habilitationsvortrag Hilbert ideas infinite integrals intersect invariant theory James Joseph Sylvester Journal Klein and Lie Kronecker Kummer surface Lacroix Lie's line geometry line-complex linear transformations lines of curvature Math mathematicians mathematics Mathematische memoir metric Mittag-Leffler negative number-class paper philosophical physical space plane Plücker points polynomial projective proof published quadratic Quantics quantities reine und angewandte relation Riemann set theory singular sphere map spherical trigonometry Sylvester tetrahedral complexes tion translation triangle variables W-curves Weber Weierstrass Werke