書目名稱 | Calculus Without Derivatives |
編輯 | Jean-Paul Penot |
視頻video | http://file.papertrans.cn/221/220861/220861.mp4 |
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 |
叢書名稱 | Graduate Texts in Mathematics |
圖書封面 |  |
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 |
關鍵詞 | 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 |