书目名称 | Functional Analysis in Mechanics |
编辑 | Leonid P. Lebedev,Iosif I. Vorovich,Michael J. Clo |
视频video | |
概述 | The mathematical material is treated in a non-abstract manner and is fully illuminated by the underlying mechanical ideas.The presentation is concise but complete, and is intended for specialists in c |
丛书名称 | Springer Monographs in Mathematics |
图书封面 |  |
描述 | .This book offers a brief, practically complete, and relatively simple introduction to functional analysis. It also illustrates the application of functional analytic methods to the science of continuum mechanics. Abstract but powerful mathematical notions are tightly interwoven with physical ideas in the treatment of nontrivial boundary value problems for mechanical objects.. .This second edition includes more extended coverage of the classical and abstract portions of functional analysis. Taken together, the first three chapters now constitute a regular text on applied functional analysis. This potential use of the book is supported by a significantly extended set of exercises with hints and solutions. A new appendix, providing a convenient listing of essential inequalities and imbedding results, has been added.. .The book should appeal to graduate students and researchers in physics, engineering, and applied mathematics.. .Reviews of first edition:. ."This book covers functional analysis and its applications to continuum mechanics. The presentation is concise but complete, and is intended for readers in continuum mechanics who wish to understand the mathematical underpinnings of |
出版日期 | Book 2013Latest edition |
关键词 | Banach–Steinhaus Principle; Metric Spaces; Von Karman Equations; partial differential equations |
版次 | 2 |
doi | https://doi.org/10.1007/978-1-4614-5868-5 |
isbn_softcover | 978-1-4899-9756-2 |
isbn_ebook | 978-1-4614-5868-5Series ISSN 1439-7382 Series E-ISSN 2196-9922 |
issn_series | 1439-7382 |
copyright | Springer Science+Business Media, LLC 2013 |