| 书目名称 | Fixed Point Theorems and Applications | | 编辑 | Vittorino Pata | | 视频video | | | 概述 | Employs a unitary approach to explore a key field of modern mathematics.Discusses all relevant applications of the theory of fixed points in detail.Although it covers advanced topics, is highly “user | | 丛书名称 | UNITEXT | | 图书封面 |  | | 描述 | .This book addresses fixed point theory, a fascinating and far-reaching field with applications in several areas of mathematics. The content is divided into two main parts. The first, which is more theoretical, develops the main abstract theorems on the existence and uniqueness of fixed points of maps. In turn, the second part focuses on applications, covering a large variety of significant results ranging from ordinary differential equations in Banach spaces, to partial differential equations, operator theory, functional analysis, measure theory, and game theory. A final section containing 50 problems, many of which include helpful hints, rounds out the coverage. Intended for Master’s and PhD students in Mathematics or, more generally, mathematically oriented subjects, the book is designed to be largely self-contained, although some mathematical background is needed: readers should be familiar with measure theory, Banach and Hilbert spaces, locally convex topological vector spaces and, in general, with linear functional analysis.. | | 出版日期 | Textbook 2019 | | 关键词 | Fixed point theory; Functional analysis; Partial differentia equation; Ordinary differential equations; | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-030-19670-7 | | isbn_softcover | 978-3-030-19669-1 | | isbn_ebook | 978-3-030-19670-7Series ISSN 2038-5714 Series E-ISSN 2532-3318 | | issn_series | 2038-5714 | | copyright | Springer Nature Switzerland AG 2019 |
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发表于 2025-3-21 17:42:40
