| 書(shū)目名稱 | Partial Differential Equations III | | 副標(biāo)題 | Nonlinear Equations | | 編輯 | Michael E. Taylor | | 視頻video | http://file.papertrans.cn/742/741494/741494.mp4 | | 叢書(shū)名稱 | Applied Mathematical Sciences | | 圖書(shū)封面 |  | | 描述 | Partial differential equations is a many-faceted subject. Created to describe the mechanical behavior of objects such as vibrating strings and blowing winds, it has developed into a body of material that interacts with many branches of math- ematics, such as differential geometry, complex analysis, and harmonic analysis, as weIl as a ubiquitous factor in the description and elucidati?n of problems in mathematical physics. This work is intended to provide a course of study of some of the major aspects ofPDE.1t is addressed to readers with a background in the basic introductory grad- uate mathematics courses in American universities: elementary real and complex analysis, differential geometry, and measure theory. Chapter 1 provides background material on the theory of ordinary differential equations (ODE). This includes both very basic material-on topics such as the existence and uniqueness of solutions to ODE and explicit solutions to equations with constant coefficients and relations to linear algebra-and more sophisticated resuIts-on ftows generated by vector fields, connections with differential geom- etry, the calculus of differential forms, stationary action principles in mecha | | 出版日期 | Book 19961st edition | | 關(guān)鍵詞 | Gaussian curvature; Minimal surface; Sobolev space; calculus; curvature; differential equation; differenti | | 版次 | 1 | | doi | https://doi.org/10.1007/978-1-4757-4190-2 | | isbn_ebook | 978-1-4757-4190-2Series ISSN 0066-5452 Series E-ISSN 2196-968X | | issn_series | 0066-5452 | | copyright | Springer Science+Business Media New York 1996 |
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