Collected Papers II: Function Theory, Algebraic Geometry and Miscellaneous
暫譯: 收錄論文 II:函數理論、代數幾何與其他雜項
Kummer, Ernst Eduard, Weil, André
- 出版商: Springer
- 出版日期: 2021-07-21
- 售價: $2,830
- 貴賓價: 9.5 折 $2,689
- 語言: 英文
- 裝訂: Quality Paper - also called trade paper
- ISBN: 3662633450
- ISBN-13: 9783662633458
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商品描述
The collected works of Ernst Eduard Kummer form two volumes. Volume I is devoted to Kummer's work on number theory while Volume II, divided into four parts, focuses on his other research interests. Part 1 (Function theory) covers his work on the hypergeometric function, and on repeated integrals of rational functions. In Part 2 (Algebraic geometry) we see how the discovery of "Kummer surfaces" seems to have been an outgrowth of Kummer's interest in the optical properties of biaxial crystals, and in the "Cyclides" of Dupin. The relation between these quartic surfaces and quotients of abelian surfaces was discovered only much later. One also finds here a number of papers describing actual plaster models of particular "Kummer surfaces", with special symmetries in evidence. Part 3 concerns Aerodynamics and ballistics and, finally, Part 4 (Speeches and reviews) spans a broad range of topics, including a long retrospective on the life and work of Dirichlet.
商品描述(中文翻譯)
恩斯特·愛德華·庫默(Ernst Eduard Kummer)的文集共分為兩卷。第一卷專注於庫默在數論方面的研究,而第二卷則分為四個部分,聚焦於他其他的研究興趣。第一部分(函數理論)涵蓋了他在超幾何函數及有理函數的重積分方面的工作。第二部分(代數幾何)展示了「庫默曲面」(Kummer surfaces)的發現似乎源於庫默對雙軸晶體的光學特性以及杜潘(Dupin)的「圓環曲線」(Cyclides)的興趣。這些四次曲面與阿貝爾曲面的商之間的關係直到後來才被發現。這裡還有一些論文描述了特定「庫默曲面」的實際石膏模型,並顯示出特殊的對稱性。第三部分涉及空氣動力學和彈道學,最後,第四部分(演講與評論)涵蓋了廣泛的主題,包括對狄利克雷(Dirichlet)生平與工作的長篇回顧。