國立高雄大學圖資館 |

Language: English

Back

Introduction to functional analysis

Clason, Christian.

Introduction to functional analysis

Record Type:	Electronic resources : Monograph/item
Title/Author:	Introduction to functional analysisby Christian Clason.
Author:	Clason, Christian.
Published:	Cham :Springer International Publishing :2020.
Description:	x, 170 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Functional analysis.
Online resource:	https://doi.org/10.1007/978-3-030-52784-6
ISBN:	9783030527846$q(electronic bk.)

Introduction to functional analysis
Clason, Christian.

Introduction to functional analysis[electronic resource] /by Christian Clason. - Cham :Springer International Publishing :2020. - x, 170 p. :ill., digital ;24 cm. - Compact textbooks in mathematics,2296-4568. - Compact textbooks in mathematics..

Topological basics -- Linear operators between normed spaces -- Dual spaces and weak convergence -- Compact operators between Banach spaces -- Hilbert spaces.

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.

ISBN: 9783030527846$q(electronic bk.)

Standard No.: 10.1007/978-3-030-52784-6doiSubjects--Topical Terms:

200585
Functional analysis.

LC Class. No.: QA320

Dewey Class. No.: 515.7

Introduction to functional analysis
LDR:01813nmm a2200337 a 4500 001 589663
003 DE-He213
005 20210311140327.0
006 m d
007 cr nn 008maaau
008 210601s2020 sz s 0 eng d
020 $a 9783030527846$q(electronic bk.)
020 $a 9783030527839$q(paper)
024 7 $a 10.1007/978-3-030-52784-6 $2 doi
035 $a 978-3-030-52784-6
040 $a GP $c GP
041 0 $a eng
050 4 $a QA320
072 7 $a PBKF $2 bicssc
072 7 $a MAT037000 $2 bisacsh
072 7 $a PBKF $2 thema
082 0 4 $a 515.7 $2 23
090 $a QA320 $b .C614 2020
100 1 $a Clason, Christian. $3 881634
245 1 0 $a Introduction to functional analysis $h [electronic resource] / $c by Christian Clason.
260 $a Cham : $b Springer International Publishing : $b Imprint: Birkhauser, $c 2020.
300 $a x, 170 p. : $b ill., digital ; $c 24 cm.
490 1 $a Compact textbooks in mathematics, $x 2296-4568
505 0 $a Topological basics -- Linear operators between normed spaces -- Dual spaces and weak convergence -- Compact operators between Banach spaces -- Hilbert spaces.
520 $a 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.
650 0 $a Functional analysis. $3 200585
650 1 4 $a Functional Analysis. $3 274845
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer Nature eBook
830 0 $a Compact textbooks in mathematics. $3 700241
856 4 0 $u https://doi.org/10.1007/978-3-030-52784-6
950 $a Mathematics and Statistics (SpringerNature-11649)