國立虎尾科技大學 |

Measure and Integration

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Measure and Integration/ by S. Kesavan.
Author:	Kesavan, S.
Description:	XX, 232 p. 2 illus.online resource. :
Contained By:	Springer Nature eBook
Subject:	Measure theory. -
Online resource:	https://doi.org/10.1007/978-981-13-6678-9
ISBN:	9789811366789

Measure and Integration
Kesavan, S.

Measure and Integration[electronic resource] /by S. Kesavan. - 1st ed. 2019. - XX, 232 p. 2 illus.online resource. - Texts and Readings in Mathematics,2366-8717. - Texts and Readings in Mathematics,71.

Chapter 1. Measure -- Chapter 2. The Lebesgue measure -- Chapter 3. Measurable functions -- Chapter 4. Convergence -- Chapter 5. Integration -- Chapter 6. Differentiation -- Chapter 7. Change of variable -- Chapter 8. Product spaces -- Chapter 9. Signed measures -- Chapter 10. Lp spaces.

This book deals with topics on the theory of measure and integration. It starts with discussion on the Riemann integral and points out certain shortcomings, which motivate the theory of measure and the Lebesgue integral. Most of the material in this book can be covered in a one-semester introductory course. An awareness of basic real analysis and elementary topological notions, with special emphasis on the topology of the n-dimensional Euclidean space, is the pre-requisite for this book. Each chapter is provided with a variety of exercises for the students. The book is targeted to students of graduate- and advanced-graduate-level courses on the theory of measure and integration.

ISBN: 9789811366789

Standard No.: 10.1007/978-981-13-6678-9doiSubjects--Topical Terms:

527848
Measure theory.

LC Class. No.: QA312-312.5

Dewey Class. No.: 515.42

Measure and Integration
LDR:02240nam a22003855i 4500 001 1009335
003 DE-He213
005 20200704173055.0
007 cr nn 008mamaa
008 210106s2019 si | s |||| 0|eng d
020 $a 9789811366789 $9 978-981-13-6678-9
024 7 $a 10.1007/978-981-13-6678-9 $2 doi
035 $a 978-981-13-6678-9
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 Kesavan, S. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1253248
245 1 0 $a Measure and Integration $h [electronic resource] / $c by S. Kesavan.
250 $a 1st ed. 2019.
264 1 $a Singapore : $b Springer Singapore : $b Imprint: Springer, $c 2019.
300 $a XX, 232 p. 2 illus. $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 Texts and Readings in Mathematics, $x 2366-8717
505 0 $a Chapter 1. Measure -- Chapter 2. The Lebesgue measure -- Chapter 3. Measurable functions -- Chapter 4. Convergence -- Chapter 5. Integration -- Chapter 6. Differentiation -- Chapter 7. Change of variable -- Chapter 8. Product spaces -- Chapter 9. Signed measures -- Chapter 10. Lp spaces.
520 $a This book deals with topics on the theory of measure and integration. It starts with discussion on the Riemann integral and points out certain shortcomings, which motivate the theory of measure and the Lebesgue integral. Most of the material in this book can be covered in a one-semester introductory course. An awareness of basic real analysis and elementary topological notions, with special emphasis on the topology of the n-dimensional Euclidean space, is the pre-requisite for this book. Each chapter is provided with a variety of exercises for the students. The book is targeted to students of graduate- and advanced-graduate-level courses on the theory of measure and integration.
650 0 $a Measure theory. $3 527848
650 0 $a Functional analysis. $3 527706
650 1 4 $a Measure and Integration. $3 672015
650 2 4 $a Functional Analysis. $3 672166
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
776 0 8 $i Printed edition: $z 9789811366796
830 0 $a Texts and Readings in Mathematics, $x 2366-8717 ; $v 71 $3 1266492
856 4 0 $u https://doi.org/10.1007/978-981-13-6678-9
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)