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.
€71.39
表中的内容
Preface.- 1 Metric and Topological Tools.- 2 Elements of Differential Calculus.- 3 Elements of Convex Analysis.- 4 Elementary and Viscosity Subdifferentials.- 5 Circa-Subdifferentials, Clarke Subdifferentials.- 6 Limiting Subdifferentials.- 7 Graded Subdifferentials, Ioffe Subdifferentials.- References.- Index.关于作者
Jean-Paul Penot is an Emeritus Professor at Université Paris 6. He has taught in Paris, Pau and Canada.购买此电子书可免费获赠一本！
语言 英语 ● 格式 PDF ● 网页 524 ● ISBN 9781461445388 ● 出版者 Springer New York ● 市 NY ● 国家 US ● 发布时间 2012 ● 下载 24 个月 ● 货币 EUR ● ID 2654233 ● 复制保护 Adobe DRM
需要具备DRM功能的电子书阅读器
来自同一作者的更多电子书 / 编辑
2,188 此类电子书
