书目名称 | Calculus Without Derivatives |
编辑 | Jean-Paul Penot |
视频video | |
概述 | Includes all necessary preliminary material.Introduces fundamental aspects of nonsmooth analysis that impact many applications.Presents a balanced picture of the most elementary attempts to replace a |
丛书名称 | Graduate Texts in Mathematics |
图书封面 |  |
描述 | .Calculus Without Derivatives. expounds the foundations and recent advances in nonsmooth analysis, a powerful compound of mathematical tools that obviates the usual smoothness assumptions. This textbook also provides significant tools and methods towards applications, in particular optimization problems. Whereas most books on this subject focus on a particular theory, this text takes a general approach including all main theories. .In order to be self-contained, the book includes three chapters of preliminary material, each of which can be used as an independent course if needed. The first chapter deals with metric properties, variational principles, decrease principles, methods of error bounds, calmness and metric regularity. The second one presents the classical tools of differential calculus and includes a section about the calculus of variations. The third contains a clear exposition of convex analysis.. |
出版日期 | Textbook 2013 |
关键词 | Clarke subdifferential; Newton Method; approximation; calculus of variations; coderivative; convex analys |
版次 | 1 |
doi | https://doi.org/10.1007/978-1-4614-4538-8 |
isbn_softcover | 978-1-4899-8942-0 |
isbn_ebook | 978-1-4614-4538-8Series ISSN 0072-5285 Series E-ISSN 2197-5612 |
issn_series | 0072-5285 |
copyright | Springer Science+Business Media New York 2013 |