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Titlebook: Introductory Functional Analysis; With Applications to B. Daya Reddy Textbook 1998 Springer Science+Business Media New York 1998 Algebra.ca

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發(fā)表于 2025-3-21 18:05:30 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書(shū)目名稱(chēng)Introductory Functional Analysis
副標(biāo)題With Applications to
編輯B. Daya Reddy
視頻videohttp://file.papertrans.cn/475/474460/474460.mp4
概述Assumes only elementary knowledge of linear algebra, vector analysis, and differential equations.New concepts made more accessible by copious use of concrete worked examples.Descriptive approach favor
叢書(shū)名稱(chēng)Texts in Applied Mathematics
圖書(shū)封面Titlebook: Introductory Functional Analysis; With Applications to B. Daya Reddy Textbook 1998 Springer Science+Business Media New York 1998 Algebra.ca
描述Mathematics is playing an ever more important role in the physical and biological sciences, provo king a blurring of boundaries between scientific dis- ciplines and a resurgence of interest in the modern as weil as the classical techniques of applied mathematics. This renewal of interest, both in research and teaching, has led to the establishment of the series: Texts in Applied Mathe- matics (TAM). The development of new courses is a natural consequence of a . high level of excitement on the research frontier as newer techniques, such as numerical and symbolic computer systems, dynamical systems, and chaos, mix with and reinforce the traditional methods of applied mathematics. Thus, the purpose of this textbook series is to meet the current and future needs of these advances and encourage the teaching of new courses. TAM will publish textbooks suitable für use in advanced undergraduate and beginning graduate courses, and will complement the Applied Mathematical Sciences (AMS) series,which will focus on advanced textbooks and research level monographs. Preface A proper understanding of the theory of boundary value problems, as op- posed to a knowledge of techniques for solving spec
出版日期Textbook 1998
關(guān)鍵詞Algebra; calculus; finite elements; functional analysis; linear optimization; mathematics; proving
版次1
doihttps://doi.org/10.1007/978-1-4612-0575-3
isbn_softcover978-1-4612-6824-6
isbn_ebook978-1-4612-0575-3Series ISSN 0939-2475 Series E-ISSN 2196-9949
issn_series 0939-2475
copyrightSpringer Science+Business Media New York 1998
The information of publication is updating

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Introductory Functional Analysis978-1-4612-0575-3Series ISSN 0939-2475 Series E-ISSN 2196-9949
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發(fā)表于 2025-3-22 11:00:26 | 只看該作者
Sets vectors, or functions. Such collections, which are known as sets, are endowed with additional structure, and when this is done it becomes possible to elaborate on their properties and build up a coherent theory.
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發(fā)表于 2025-3-22 14:31:47 | 只看該作者
Distributions and Sobolev spaces introduction to functional analysis. Given the problem of finding a function . that satisfies a partial differential equation and one or more boundary conditions, it is clearly of great value to know beforehand whether such a solution exists and, if so, whether it is unique, and finally how smooth this function is.
7#
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Elliptic boundary value problemsalue problems. Section 8.1 sets the stage by introducing a range of problems involving differential equations; we saw some examples in the Introduction, and here the opportunity is taken to introduce a few more.
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Approximate methods of solutionre we can quite justifiably ask: how does one actually obtain solutions? The answer is rather disappointing, unfortunately; except for problems involving very simple PDEs and geometries, it is quite impossible, using existing methods, to obtain exact solutions to most BVPs in either the conventional or variational formulations.
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發(fā)表于 2025-3-23 04:40:38 | 只看該作者
Properties of normed spacesNormed and inner product spaces possess a wealth of properties, and these in turn allow sophisticated theories to be developed and applied in a variety of contexts. Some of these properties are introduced in this chapter.
10#
發(fā)表于 2025-3-23 07:08:10 | 只看該作者
https://doi.org/10.1007/978-1-4612-0575-3Algebra; calculus; finite elements; functional analysis; linear optimization; mathematics; proving
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