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Linear functional analysis[electronic resource] :an application-oriented introduction /

紀錄類型:	書目-電子資源 : Monograph/item
杜威分類號:	515.7
書名/作者:	Linear functional analysis : an application-oriented introduction // by Hans Wilhelm Alt ; translated by Robert Nurnberg.
作者:	Alt, Hans Wilhelm.
其他作者:	Nurnberg, Robert.
出版者:	London : : Springer London :, 2016.
面頁冊數:	xii, 435 p. : : ill., digital ;; 24 cm.
Contained By:	Springer eBooks
標題:	Functional analysis.
標題:	Mathematics.
標題:	Functional Analysis.
標題:	Partial Differential Equations.
ISBN:	9781447172802
ISBN:	9781447172796
內容註:	Introduction -- Preliminaries -- Function spaces -- Subsets of function spaces -- Linear operators -- Linear functionals -- Uniform boundedness principle -- Weak convergence -- Finite-dimensional approximation -- Compact operators -- Spectrum of compact operators -- Self-adjoint operators -- References -- Symbols -- Index.
摘要、提要註:	This book gives an introduction to Linear Functional Analysis, a synthesis of algebra, topology, and analysis. In addition to the basic theory it explains operator theory, distributions, Sobolev spaces, and many other things. The text is self-contained and includes all proofs, as well as many exercises, most of them with solutions. Moreover, there are a number of appendices, for example on Lebesgue integration theory. A complete introduction to the subject, Linear Functional Analysis will be particularly useful to readers who want to quickly get to the key statements and who are interested in applications to differential equations.
電子資源:	http://dx.doi.org/10.1007/978-1-4471-7280-2

Linear functional analysis[electronic resource] :an application-oriented introduction /
Alt, Hans Wilhelm.

Linear functional analysisan application-oriented introduction /[electronic resource] :by Hans Wilhelm Alt ; translated by Robert Nurnberg. - London :Springer London :2016. - xii, 435 p. :ill., digital ;24 cm. - Universitext,0172-5939. - Universitext..

Introduction -- Preliminaries -- Function spaces -- Subsets of function spaces -- Linear operators -- Linear functionals -- Uniform boundedness principle -- Weak convergence -- Finite-dimensional approximation -- Compact operators -- Spectrum of compact operators -- Self-adjoint operators -- References -- Symbols -- Index.

This book gives an introduction to Linear Functional Analysis, a synthesis of algebra, topology, and analysis. In addition to the basic theory it explains operator theory, distributions, Sobolev spaces, and many other things. The text is self-contained and includes all proofs, as well as many exercises, most of them with solutions. Moreover, there are a number of appendices, for example on Lebesgue integration theory. A complete introduction to the subject, Linear Functional Analysis will be particularly useful to readers who want to quickly get to the key statements and who are interested in applications to differential equations.

ISBN: 9781447172802

Standard No.: 10.1007/978-1-4471-7280-2doiSubjects--Topical Terms:

403818
Functional analysis.

LC Class. No.: QA320 / .A48 2016

Dewey Class. No.: 515.7

Linear functional analysis[electronic resource] :an application-oriented introduction /
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