| 書目名稱 | Change and Variations | | 副標(biāo)題 | A History of Differe | | 編輯 | Jeremy Gray | | 視頻video | http://file.papertrans.cn/224/223721/223721.mp4 | | 概述 | The first broad-ranging account of the history of ordinary and partial differential equations and the calculus of variations to 1900.Provides numerous original and translated sources with advice on ho | | 叢書名稱 | Springer Undergraduate Mathematics Series | | 圖書封面 |  | | 描述 | .This book presents a history of differential equations, both ordinary and partial, as well as the calculus of variations, from the origins of the subjects to around 1900. Topics treated include the wave equation in the hands of d’Alembert and Euler; Fourier’s solutions to the heat equation and the contribution of Kovalevskaya; the work of Euler, Gauss, Kummer, Riemann, and Poincaré on the hypergeometric equation; Green’s functions, the Dirichlet principle, and Schwarz’s solution of the Dirichlet problem; minimal surfaces; the telegraphists’ equation and Thomson’s successful design of the trans-Atlantic cable; Riemann’s paper on shock waves; the geometrical interpretation of mechanics; and aspects of the study of the calculus of variations from the problems of the catenary and the brachistochrone to attempts at a rigorous theory by Weierstrass, Kneser, and Hilbert. Three final chapters look at how the theory of partial differential equations stood around 1900, as they were treated by Picard and Hadamard. There are also extensive, new translations of original papers by Cauchy, Riemann, Schwarz, Darboux, and Picard. .The first book to cover the history of differential equations and t | | 出版日期 | Textbook 2021 | | 關(guān)鍵詞 | History of differential equations; History of mathematics; History of the calculus of variations; Diric | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-030-70575-6 | | isbn_softcover | 978-3-030-70574-9 | | isbn_ebook | 978-3-030-70575-6Series ISSN 1615-2085 Series E-ISSN 2197-4144 | | issn_series | 1615-2085 | | copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
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