| 書(shū)目名稱(chēng) | Variational Calculus with Elementary Convexity | | 編輯 | John L. Troutman | | 視頻video | http://file.papertrans.cn/981/980570/980570.mp4 | | 叢書(shū)名稱(chēng) | Undergraduate Texts in Mathematics | | 圖書(shū)封面 |  | | 描述 | The calculus of variations, whose origins can be traced to the works of Aristotle and Zenodoros, is now Ii vast repository supplying fundamental tools of exploration not only to the mathematician, but-as evidenced by current literature-also to those in most branches of science in which mathematics is applied. (Indeed, the macroscopic statements afforded by variational principles may provide the only valid mathematical formulation of many physical laws. ) As such, it retains the spirit of natural philosophy common to most mathematical investigations prior to this century. How- ever, it is a discipline in which a single symbol (b) has at times been assigned almost mystical powers of operation and discernment, not readily subsumed into the formal structures of modern mathematics. And it is a field for which it is generally supposed that most questions motivating interest in the subject will probably not be answerable at the introductory level of their formulation. In earlier articles,1,2 it was shown through several examples that a complete characterization of the solution of optimization problems may be available by elementary methods, and it is the purpose of this work to explore fu | | 出版日期 | Textbook 19831st edition | | 關(guān)鍵詞 | Convexity; Konvexe Funktion; Variationsrechnung; calculus; differential equation | | 版次 | 1 | | doi | https://doi.org/10.1007/978-1-4684-0158-5 | | isbn_softcover | 978-1-4684-0160-8 | | isbn_ebook | 978-1-4684-0158-5Series ISSN 0172-6056 Series E-ISSN 2197-5604 | | issn_series | 0172-6056 | | copyright | Springer-Verlag New York Inc. 1983 |
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