語系:
繁體中文
English
說明(常見問題)
圖資館首頁
登入
回首頁
切換:
標籤
|
MARC模式
|
ISBD
Differentiability in spaces, differe...
~
Doria, Celso Melchiades.
Differentiability in spaces, differential forms and applications
紀錄類型:
書目-電子資源 : Monograph/item
正題名/作者:
Differentiability in spaces, differential forms and applicationsby Celso Melchiades Doria.
作者:
Doria, Celso Melchiades.
出版者:
Cham :Springer International Publishing :2021.
面頁冊數:
xiv, 362 p. :ill., digital ;24 cm.
Contained By:
Springer Nature eBook
標題:
Banach spaces.
電子資源:
https://doi.org/10.1007/978-3-030-77834-7
ISBN:
9783030778347$q(electronic bk.)
Differentiability in spaces, differential forms and applications
Doria, Celso Melchiades.
Differentiability in spaces, differential forms and applications
[electronic resource] /by Celso Melchiades Doria. - Cham :Springer International Publishing :2021. - xiv, 362 p. :ill., digital ;24 cm.
This book is divided into two parts, the first one to study the theory of differentiable functions between Banach spaces and the second to study the differential form formalism and to address the Stokes' Theorem and its applications. Related to the first part, there is an introduction to the content of Linear Bounded Operators in Banach Spaces with classic examples of compact and Fredholm operators, this aiming to define the derivative of Frechet and to give examples in Variational Calculus and to extend the results to Fredholm maps. The Inverse Function Theorem is explained in full details to help the reader to understand the proof details and its motivations. The inverse function theorem and applications make up this first part. The text contains an elementary approach to Vector Fields and Flows, including the Frobenius Theorem. The Differential Forms are introduced and applied to obtain the Stokes Theorem and to define De Rham cohomology groups. As an application, the final chapter contains an introduction to the Harmonic Functions and a geometric approach to Maxwell's equations of electromagnetism.
ISBN: 9783030778347$q(electronic bk.)
Standard No.: 10.1007/978-3-030-77834-7doiSubjects--Topical Terms:
199048
Banach spaces.
LC Class. No.: QA322.2
Dewey Class. No.: 515.732
Differentiability in spaces, differential forms and applications
LDR
:02095nmm a2200313 a 4500
001
605521
003
DE-He213
005
20210719150623.0
006
m d
007
cr nn 008maaau
008
211201s2021 sz s 0 eng d
020
$a
9783030778347$q(electronic bk.)
020
$a
9783030778330$q(paper)
024
7
$a
10.1007/978-3-030-77834-7
$2
doi
035
$a
978-3-030-77834-7
040
$a
GP
$c
GP
041
0
$a
eng
050
4
$a
QA322.2
072
7
$a
PBKS
$2
bicssc
072
7
$a
MAT034000
$2
bisacsh
072
7
$a
PBKS
$2
thema
082
0 4
$a
515.732
$2
23
090
$a
QA322.2
$b
.D696 2021
100
1
$a
Doria, Celso Melchiades.
$3
901711
245
1 0
$a
Differentiability in spaces, differential forms and applications
$h
[electronic resource] /
$c
by Celso Melchiades Doria.
260
$a
Cham :
$b
Springer International Publishing :
$b
Imprint: Springer,
$c
2021.
300
$a
xiv, 362 p. :
$b
ill., digital ;
$c
24 cm.
520
$a
This book is divided into two parts, the first one to study the theory of differentiable functions between Banach spaces and the second to study the differential form formalism and to address the Stokes' Theorem and its applications. Related to the first part, there is an introduction to the content of Linear Bounded Operators in Banach Spaces with classic examples of compact and Fredholm operators, this aiming to define the derivative of Frechet and to give examples in Variational Calculus and to extend the results to Fredholm maps. The Inverse Function Theorem is explained in full details to help the reader to understand the proof details and its motivations. The inverse function theorem and applications make up this first part. The text contains an elementary approach to Vector Fields and Flows, including the Frobenius Theorem. The Differential Forms are introduced and applied to obtain the Stokes Theorem and to define De Rham cohomology groups. As an application, the final chapter contains an introduction to the Harmonic Functions and a geometric approach to Maxwell's equations of electromagnetism.
650
0
$a
Banach spaces.
$3
199048
650
0
$a
Stokes' theorem.
$3
901712
650
1 4
$a
Global Analysis and Analysis on Manifolds.
$3
273786
650
2 4
$a
Functional Analysis.
$3
274845
650
2 4
$a
Calculus.
$3
183091
650
2 4
$a
Operator Theory.
$3
274795
650
2 4
$a
Mathematical Methods in Physics.
$3
273796
650
2 4
$a
Engineering Mathematics.
$3
806481
710
2
$a
SpringerLink (Online service)
$3
273601
773
0
$t
Springer Nature eBook
856
4 0
$u
https://doi.org/10.1007/978-3-030-77834-7
950
$a
Mathematics and Statistics (SpringerNature-11649)
筆 0 讀者評論
全部
電子館藏
館藏
1 筆 • 頁數 1 •
1
條碼號
館藏地
館藏流通類別
資料類型
索書號
使用類型
借閱狀態
預約狀態
備註欄
附件
000000203568
電子館藏
1圖書
電子書
EB QA322.2 .D696 2021 2021
一般使用(Normal)
在架
0
1 筆 • 頁數 1 •
1
多媒體
多媒體檔案
https://doi.org/10.1007/978-3-030-77834-7
評論
新增評論
分享你的心得
Export
取書館別
處理中
...
變更密碼
登入