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Functional analysis

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Functional analysisJan van Neerven.
作者:	Neerven, Jan van.
出版者:	Cambridge :Cambridge University Press,2022.
面頁冊數:	xi, 712 p. :ill., digital ;23 cm.
附註:	Title from publisher's bibliographic system (viewed on 23 Jun 2022).
標題:	Functional analysis.
電子資源:	https://doi.org/10.1017/9781009232487
ISBN:	9781009232487$q(electronic bk.)

Functional analysis
Neerven, Jan van.

Functional analysis[electronic resource] /Jan van Neerven. - Cambridge :Cambridge University Press,2022. - xi, 712 p. :ill., digital ;23 cm. - Cambridge studies in advanced mathematics ;201. - Cambridge studies in advanced mathematics ;105..

Title from publisher's bibliographic system (viewed on 23 Jun 2022).

This comprehensive introduction to functional analysis covers both the abstract theory and applications to spectral theory, the theory of partial differential equations, and quantum mechanics. It starts with the basic results of the subject and progresses towards a treatment of several advanced topics not commonly found in functional analysis textbooks, including Fredholm theory, form methods, boundary value problems, semigroup theory, trace formulas, and a mathematical treatment of states and observables in quantum mechanics. The book is accessible to graduate students with basic knowledge of topology, real and complex analysis, and measure theory. With carefully written out proofs, more than 300 problems, and appendices covering the prerequisites, this self-contained volume can be used as a text for various courses at the graduate level and as a reference text for researchers in the field.

ISBN: 9781009232487$q(electronic bk.)Subjects--Topical Terms:

200585
Functional analysis.

LC Class. No.: QA320 / .N44 2022

Dewey Class. No.: 515.7

Functional analysis
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490 1 $a Cambridge studies in advanced mathematics ; $v 201
500 $a Title from publisher's bibliographic system (viewed on 23 Jun 2022).
520 $a This comprehensive introduction to functional analysis covers both the abstract theory and applications to spectral theory, the theory of partial differential equations, and quantum mechanics. It starts with the basic results of the subject and progresses towards a treatment of several advanced topics not commonly found in functional analysis textbooks, including Fredholm theory, form methods, boundary value problems, semigroup theory, trace formulas, and a mathematical treatment of states and observables in quantum mechanics. The book is accessible to graduate students with basic knowledge of topology, real and complex analysis, and measure theory. With carefully written out proofs, more than 300 problems, and appendices covering the prerequisites, this self-contained volume can be used as a text for various courses at the graduate level and as a reference text for researchers in the field.
650 0 $a Functional analysis. $3 200585
830 0 $a Cambridge studies in advanced mathematics ; $v 105. $3 541725
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