James Joseph Sylvester and the Development of Mathematics

帕肖尔博士正在继续她的传记研究， 詹姆斯·约瑟夫·西尔维斯特。 西尔维斯特是 19世纪数学的主要人物。 作为一个关键的开发者 作为英国不变量理论学派的代表，他推动了伟大的 英国重返国际数学界 竞争 作为第一位数学教授， 在巴尔的摩的约翰霍普金斯大学，他带来了研究- 数学水平到美国。 根据这项拨款，Parshall博士正在进行两项独立的研究， 项目旨在详细说明和澄清进一步西尔维斯特的 在数学史上的地位。 首先，她继续 她与保罗·沃尔夫森在不变量理论史上的合作。 他们关注的是从戈尔丹证明 有限性定理在1869年通过希尔伯特的完整 在1893年，它的推广，然后跟踪的影响， 希尔伯特的想法在该地区在随后的三十年。 其次，她正在完成一卷精选的西尔维斯特 对应的历史和数学的评论。 这两个项目将填补以下空白： 是私家侦探之前对西尔维斯特的调查结果 并将允许她完成她的传记研究 西尔维斯特的生活工作和时代。

Dr. Parshall is continuing her research on a biography of James Joseph Sylvester (1814-1897). Sylvester was one of the major figures of 19th century mathematics. As a key developer of the British school of invariant theory, he thrust Great Britain back into the thick of international mathematical competition. As the first professor of mathematics at the Johns Hopkins University in Baltimore, he brought research- level mathematics to the United States. Under this grant, Dr. Parshall is undertaking two separate projects designed to detail and clarify further Sylvester's place in the history of mathematics. First, she is continuing her work with Paul Wolfson on the history of invariant theory. They are focusing on the period from Gordan's proof of the finiteness theorem in 1869 through Hilbert's complete generalization of it in 1893, and then tracing the impact of Hilbert's ideas on the area during the ensuing three decades. Second, she is completing a volume of selected Sylvester correspondence with historical and mathematical commentary. These two projects will serve to fill in the gaps which emerged as a result of the PI's prior research on Sylvester and will allow her to complete her biographical study of Sylvester's life, work and times.