| 书目名称 | The Implicit Function Theorem | | 副标题 | History, Theory, and | | 编辑 | Steven G. Krantz,Harold R. Parks | | 视频video | | | 概述 | Affordable reprint of a classic monograph.Accessible and thorough treatment of the implicit and inverse function theorems and their applications.Unifies disparate ideas that have played an important r | | 丛书名称 | Modern Birkhäuser Classics | | 图书封面 |  | | 描述 | .The implicit function theorem is part of the bedrock of mathematical analysis and geometry. Finding its genesis in eighteenth century studies of real analytic functions and mechanics, the implicit and inverse function theorems have now blossomed into powerful tools in the theories of partial differential equations, differential geometry, and geometric analysis..There are many different forms of the implicit function theorem, including (i) the classical formulation for .C.k. functions, (ii) formulations in other function spaces, (iii) formulations for non-smooth function, and (iv) formulations for functions with degenerate Jacobian. Particularly powerful implicit function theorems, such as the Nash–Moser theorem, have been developed for specific applications (e.g., the imbedding of Riemannian manifolds). All of these topics, and many more, are treated in the present uncorrected reprint of this classic monograph. .Originally published in 2002, .The Implicit Function Theorem. is an accessible and thorough treatment of implicit and inverse function theorems and their applications. It will be of interest to mathematicians, graduate/advanced undergraduate students, and to those who | | 出版日期 | Book 2013 | | 关键词 | Implicit Function Theorem; Inverse Function Theorem; Numerical Homotopy Methods; Real Analysis; Smooth F | | 版次 | 1 | | doi | https://doi.org/10.1007/978-1-4614-5981-1 | | isbn_softcover | 978-1-4614-5980-4 | | isbn_ebook | 978-1-4614-5981-1Series ISSN 2197-1803 Series E-ISSN 2197-1811 | | issn_series | 2197-1803 | | copyright | Springer Science+Business Media New York 2013 |
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发表于 2025-3-21 20:02:55
