Continuity Theory - Nel Louis H. - University of Pretoria
Continuity Theory - Nel Louis H. - University of Pretoria This book presents a detailed self-contained theory of continuous mappings. The needed background facts about sets, metric spaces and linear…
Specifikacia Continuity Theory - Nel Louis H. - University of Pretoria
Continuity Theory - Nel Louis H. - University of Pretoria
This book presents a detailed self-contained theory of continuous mappings. The needed background facts about sets, metric spaces and linear algebra are developed in detail, so as to make a seamless transition between students' previous studies and new material. It is mainly addressed to students who have already studied these mappings in the setting of metric spaces, along with multidimensional differential calculus.
The theory of continuous mappings serves as infrastructure for more specialized mathematical theories like differential equations, integral equations, operator theory, dynamical systems, global analysis, topological groups, topological rings and many more. § In view of its many novel features, this book will be of interest also to mature readers who have studied continuous mappings from classical books and wish to become acquainted with a new approach. In light of the centrality of the topic, a book of this kind fits a variety of applications, especially those that contribute to a better understanding functional analysis, towards establishing an efficient setting for its pursuit.
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