國立虎尾科技大學 |

Introduction to Measure Theory and Functional Analysis

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Introduction to Measure Theory and Functional Analysis/ by Piermarco Cannarsa, Teresa D'Aprile.
Author:	Cannarsa, Piermarco.
other author:	D'Aprile, Teresa.
Description:	XIV, 314 p. 8 illus., 1 illus. in color.online resource. :
Contained By:	Springer Nature eBook
Subject:	Measure theory. -
Online resource:	https://doi.org/10.1007/978-3-319-17019-0
ISBN:	9783319170190

Introduction to Measure Theory and Functional Analysis
Cannarsa, Piermarco.

Introduction to Measure Theory and Functional Analysis[electronic resource] /by Piermarco Cannarsa, Teresa D'Aprile. - 1st ed. 2015. - XIV, 314 p. 8 illus., 1 illus. in color.online resource. - La Matematica per il 3+2,892038-5722 ;. - La Matematica per il 3+2,84.

1 Part I Measure and Integration -- 2 Part II Functional Analysis -- 3 Part III Selected Topics -- 4 Appendices -- 5 Index.

This book introduces readers to theories that play a crucial role in modern mathematics, such as integration and functional analysis, employing a unifying approach that views these two subjects as being deeply intertwined. This feature is particularly evident in the broad range of problems examined, the solutions of which are often supported by generous hints. If the material is split into two courses, it can be supplemented by additional topics from the third part of the book, such as functions of bounded variation, absolutely continuous functions, and signed measures. This textbook addresses the needs of graduate students in mathematics, who will find the basic material they will need in their future careers, as well as those of researchers, who will appreciate the self-contained exposition which requires no other preliminaries than basic calculus and linear algebra.

ISBN: 9783319170190

Standard No.: 10.1007/978-3-319-17019-0doiSubjects--Topical Terms:

527848
Measure theory.

LC Class. No.: QA312-312.5

Dewey Class. No.: 515.42

Introduction to Measure Theory and Functional Analysis
LDR:02426nam a22003975i 4500 001 960966
003 DE-He213
005 20200703104142.0
007 cr nn 008mamaa
008 201211s2015 gw | s |||| 0|eng d
020 $a 9783319170190 $9 978-3-319-17019-0
024 7 $a 10.1007/978-3-319-17019-0 $2 doi
035 $a 978-3-319-17019-0
050 4 $a QA312-312.5
072 7 $a PBKL $2 bicssc
072 7 $a MAT034000 $2 bisacsh
072 7 $a PBKL $2 thema
082 0 4 $a 515.42 $2 23
100 1 $a Cannarsa, Piermarco. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 892127
245 1 0 $a Introduction to Measure Theory and Functional Analysis $h [electronic resource] / $c by Piermarco Cannarsa, Teresa D'Aprile.
250 $a 1st ed. 2015.
264 1 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2015.
300 $a XIV, 314 p. 8 illus., 1 illus. in color. $b online resource.
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
347 $a text file $b PDF $2 rda
490 1 $a La Matematica per il 3+2, $x 2038-5722 ; $v 89
505 0 $a 1 Part I Measure and Integration -- 2 Part II Functional Analysis -- 3 Part III Selected Topics -- 4 Appendices -- 5 Index.
520 $a This book introduces readers to theories that play a crucial role in modern mathematics, such as integration and functional analysis, employing a unifying approach that views these two subjects as being deeply intertwined. This feature is particularly evident in the broad range of problems examined, the solutions of which are often supported by generous hints. If the material is split into two courses, it can be supplemented by additional topics from the third part of the book, such as functions of bounded variation, absolutely continuous functions, and signed measures. This textbook addresses the needs of graduate students in mathematics, who will find the basic material they will need in their future careers, as well as those of researchers, who will appreciate the self-contained exposition which requires no other preliminaries than basic calculus and linear algebra.
650 0 $a Measure theory. $3 527848
650 0 $a Functional analysis. $3 527706
650 0 $a Probabilities. $3 527847
650 0 $a Economics, Mathematical . $3 1253712
650 0 $a Mathematical physics. $3 527831
650 0 $a Physics. $3 564049
650 1 4 $a Measure and Integration. $3 672015
650 2 4 $a Functional Analysis. $3 672166
650 2 4 $a Probability Theory and Stochastic Processes. $3 593945
650 2 4 $a Quantitative Finance. $3 669372
650 2 4 $a Mathematical Applications in the Physical Sciences. $3 786649
650 2 4 $a Mathematical Methods in Physics. $3 670749
700 1 $a D'Aprile, Teresa. $e author. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1255171
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
776 0 8 $i Printed edition: $z 9783319170206
776 0 8 $i Printed edition: $z 9783319170183
830 0 $a La Matematica per il 3+2, $x 2038-5722 ; $v 84 $3 1253905
856 4 0 $u https://doi.org/10.1007/978-3-319-17019-0
912 $a ZDB-2-SMA
912 $a ZDB-2-SXMS
950 $a Mathematics and Statistics (SpringerNature-11649)
950 $a Mathematics and Statistics (R0) (SpringerNature-43713)