| 書目名稱 | Variational Calculus and Optimal Control |
| 副標題 | Optimization with El |
| 編輯 | John L. Troutman |
| 視頻video | http://file.papertrans.cn/981/980569/980569.mp4 |
| 叢書名稱 | Undergraduate Texts in Mathematics |
| 圖書封面 |  |
| 描述 | Although the calculus of variations has ancient origins in questions of Ar- istotle and Zenodoros, its mathematical principles first emerged in the post- calculus investigations of Newton, the Bernoullis, Euler, and Lagrange. Its results now supply fundamental tools of exploration to both mathematicians and those in the applied sciences. (Indeed, the macroscopic statements ob- tained through variational principles may provide the only valid mathemati- cal formulations of many physical laws. ) Because of its classical origins, variational calculus retains the spirit of natural philosophy common to most mathematical investigations prior to this century. The original applications, including the Bernoulli problem of finding the brachistochrone, require opti- mizing (maximizing or minimizing) the mass, force, time, or energy of some physical system under various constraints. The solutions to these problems satisfy related differential equations discovered by Euler and Lagrange, and the variational principles of mechanics (especially that of Hamilton from the last century) show the importance of also considering solutions that just provide stationary behavior for some measure of performa |
| 出版日期 | Textbook 1996Latest edition |
| 關鍵詞 | Calculus; Convexity; Konvexe Funktion; Optimal control; Variationsrechnung; linear optimization; optimizat |
| 版次 | 2 |
| doi | https://doi.org/10.1007/978-1-4612-0737-5 |
| isbn_softcover | 978-1-4612-6887-1 |
| isbn_ebook | 978-1-4612-0737-5Series ISSN 0172-6056 Series E-ISSN 2197-5604 |
| issn_series | 0172-6056 |
| copyright | Springer Science+Business Media New York 1996 |
|Archiver|手機版|小黑屋|
派博傳思國際
( 京公網(wǎng)安備110108008328)
GMT+8, 2025-10-8 07:12
發(fā)表于 2025-3-21 17:46:07
