书目名称 | Geometric Analysis and Nonlinear Partial Differential Equations | 编辑 | Stefan Hildebrandt,Hermann Karcher | 视频video | | 概述 | Includes supplementary material: | 图书封面 |  | 描述 | This book is not a textbook, but rather a coherent collection of papers from the field of partial differential equations. Nevertheless we believe that it may very well serve as a good introduction into some topics of this classical field of analysis which, despite of its long history, is highly modem and well prospering. Richard Courant wrote in 1950: "It has always been a temptationfor mathematicians to present the crystallized product of their thought as a deductive general theory and to relegate the individual mathematical phenomenon into the role of an example. The reader who submits to the dogmatic form will be easily indoctrinated. Enlightenment, however, must come from an understanding of motives; live mathematical development springs from specific natural problems which can be easily understood, but whose solutions are difficult and demand new methods or more general significance. " We think that many, if not all, papers of this book are written in this spirit and will give the reader access to an important branch of analysis by exhibiting interest ing problems worth to be studied. Most of the collected articles have an extensive introductory part describing the history of | 出版日期 | Book 2003 | 关键词 | Kolmogorov–Arnold–Moser theorem; differential equation; geometric analysis; nonlinear partial different | 版次 | 1 | doi | https://doi.org/10.1007/978-3-642-55627-2 | isbn_softcover | 978-3-642-62887-0 | isbn_ebook | 978-3-642-55627-2 | copyright | Springer-Verlag Berlin Heidelberg 2003 |
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