語系:
繁體中文
English
說明(常見問題)
登入
回首頁
切換:
標籤
|
MARC模式
|
ISBD
Real and Complex Analysis = Volume 1 /
~
Sinha, Rajnikant.
Real and Complex Analysis = Volume 1 /
紀錄類型:
書目-語言資料,印刷品 : Monograph/item
正題名/作者:
Real and Complex Analysis/ by Rajnikant Sinha.
其他題名:
Volume 1 /
作者:
Sinha, Rajnikant.
面頁冊數:
IX, 637 p.online resource. :
Contained By:
Springer Nature eBook
標題:
Mathematical analysis. -
電子資源:
https://doi.org/10.1007/978-981-13-0938-0
ISBN:
9789811309380
Real and Complex Analysis = Volume 1 /
Sinha, Rajnikant.
Real and Complex Analysis
Volume 1 /[electronic resource] :by Rajnikant Sinha. - 1st ed. 2018. - IX, 637 p.online resource.
Chapter 1. Lebesgue Integration -- Chapter 2. Lp-Spaces -- Chapter 3. Fourier Transforms -- Chapter 4. Holomorphic and Harmonic Functions -- Chapter 5. Conformal Mapping -- Chapter 6. Analytic Continuation -- Chapter 7. Special Functions.
This is the first volume of the two-volume book on real and complex analysis. This volume is an introduction to measure theory and Lebesgue measure where the Riesz representation theorem is used to construct Lebesgue measure. Intended for undergraduate students of mathematics and engineering, it covers the essential analysis that is needed for the study of functional analysis, developing the concepts rigorously with sufficient detail and with minimum prior knowledge of the fundamentals of advanced calculus required. Divided into three chapters, it discusses exponential and measurable functions, Riesz representation theorem, Borel and Lebesgue measure, -spaces, Riesz–Fischer theorem, Vitali–Caratheodory theorem, the Fubini theorem, and Fourier transforms. Further, it includes extensive exercises and their solutions with each concept. The book examines several useful theorems in the realm of real and complex analysis, most of which are the work of great mathematicians of the 19th and 20th centuries.
ISBN: 9789811309380
Standard No.: 10.1007/978-981-13-0938-0doiSubjects--Topical Terms:
527926
Mathematical analysis.
LC Class. No.: QA299.6-433
Dewey Class. No.: 515
Real and Complex Analysis = Volume 1 /
LDR
:02510nam a22003855i 4500
001
989911
003
DE-He213
005
20200703061811.0
007
cr nn 008mamaa
008
201225s2018 si | s |||| 0|eng d
020
$a
9789811309380
$9
978-981-13-0938-0
024
7
$a
10.1007/978-981-13-0938-0
$2
doi
035
$a
978-981-13-0938-0
050
4
$a
QA299.6-433
072
7
$a
PBK
$2
bicssc
072
7
$a
MAT034000
$2
bisacsh
072
7
$a
PBK
$2
thema
082
0 4
$a
515
$2
23
100
1
$a
Sinha, Rajnikant.
$4
aut
$4
http://id.loc.gov/vocabulary/relators/aut
$3
1210598
245
1 0
$a
Real and Complex Analysis
$h
[electronic resource] :
$b
Volume 1 /
$c
by Rajnikant Sinha.
250
$a
1st ed. 2018.
264
1
$a
Singapore :
$b
Springer Singapore :
$b
Imprint: Springer,
$c
2018.
300
$a
IX, 637 p.
$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
505
0
$a
Chapter 1. Lebesgue Integration -- Chapter 2. Lp-Spaces -- Chapter 3. Fourier Transforms -- Chapter 4. Holomorphic and Harmonic Functions -- Chapter 5. Conformal Mapping -- Chapter 6. Analytic Continuation -- Chapter 7. Special Functions.
520
$a
This is the first volume of the two-volume book on real and complex analysis. This volume is an introduction to measure theory and Lebesgue measure where the Riesz representation theorem is used to construct Lebesgue measure. Intended for undergraduate students of mathematics and engineering, it covers the essential analysis that is needed for the study of functional analysis, developing the concepts rigorously with sufficient detail and with minimum prior knowledge of the fundamentals of advanced calculus required. Divided into three chapters, it discusses exponential and measurable functions, Riesz representation theorem, Borel and Lebesgue measure, -spaces, Riesz–Fischer theorem, Vitali–Caratheodory theorem, the Fubini theorem, and Fourier transforms. Further, it includes extensive exercises and their solutions with each concept. The book examines several useful theorems in the realm of real and complex analysis, most of which are the work of great mathematicians of the 19th and 20th centuries.
650
0
$a
Mathematical analysis.
$3
527926
650
0
$a
Analysis (Mathematics).
$3
1253570
650
1 4
$a
Analysis.
$3
669490
710
2
$a
SpringerLink (Online service)
$3
593884
773
0
$t
Springer Nature eBook
776
0 8
$i
Printed edition:
$z
9789811309373
776
0 8
$i
Printed edition:
$z
9789811309397
856
4 0
$u
https://doi.org/10.1007/978-981-13-0938-0
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)
筆 0 讀者評論
多媒體
評論
新增評論
分享你的心得
Export
取書館別
處理中
...
變更密碼[密碼必須為2種組合(英文和數字)及長度為10碼以上]
登入