书目名称 | Introduction to Functional Analysis |
编辑 | Christian Clason |
视频video | |
概述 | Presents essential knowledge in a compact format.Concentrates on the theoretical fundamentals relevant to applied mathematics.Includes carefully chosen examples and exercises |
丛书名称 | Compact Textbooks in Mathematics |
图书封面 |  |
描述 | .Functional analysis has become one of the essential foundations of modern applied mathematics in the last decades, from the theory and numerical solution of differential equations, from optimization and probability theory to medical imaging and mathematical image processing.. . This textbook offers a compact introduction to the theory and is designed to be used during one semester, fitting exactly 26 lectures of 90 minutes each. It ranges from the topological fundamentals recalled from basic lectures on real analysis to spectral theory in Hilbert spaces. Special attention is given to the central results on dual spaces and weak convergence.. |
出版日期 | Textbook 20201st edition |
关键词 | normed vector space; linear operators; dual space; weak convergence; spectrum |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-030-52784-6 |
isbn_softcover | 978-3-030-52783-9 |
isbn_ebook | 978-3-030-52784-6Series ISSN 2296-4568 Series E-ISSN 2296-455X |
issn_series | 2296-4568 |
copyright | Springer Nature Switzerland AG 2020 |