語系:
繁體中文
English
說明(常見問題)
回圖書館首頁
手機版館藏查詢
登入
回首頁
切換:
標籤
|
MARC模式
|
ISBD
Topics in global real analytic geometry
~
Acquistapace, Francesca.
FindBook
Google Book
Amazon
博客來
Topics in global real analytic geometry
紀錄類型:
書目-電子資源 : Monograph/item
正題名/作者:
Topics in global real analytic geometry/ by Francesca Acquistapace, Fabrizio Broglia, Jose F. Fernando.
作者:
Acquistapace, Francesca.
其他作者:
Broglia, Fabrizio.
出版者:
Cham :Springer International Publishing : : 2022.,
面頁冊數:
xvii, 273 p. :ill., digital ;24 cm.
Contained By:
Springer Nature eBook
標題:
Geometry, Analytic. -
電子資源:
https://doi.org/10.1007/978-3-030-96666-9
ISBN:
9783030966669
Topics in global real analytic geometry
Acquistapace, Francesca.
Topics in global real analytic geometry
[electronic resource] /by Francesca Acquistapace, Fabrizio Broglia, Jose F. Fernando. - Cham :Springer International Publishing :2022. - xvii, 273 p. :ill., digital ;24 cm. - Springer monographs in mathematics,2196-9922. - Springer monographs in mathematics..
This book provides an exposition of the theory of analytic C-spaces developed by Cartan, Whitney and Tognoli and describes some central results in global real analytic geometry, such as Nullstellensatze and Positivstellensatze, including Forster's global Nullstellensatz for Stein algebras. It emphasizes the central role of Hilbert's 17th Problem in this context, devoting a chapter to the state of the art on this difficult problem. The focus then turns to a class of semianalytic sets defined by countably many global real analytic functions, which is stable under topological operations and satisfies a direct image theorem. A smaller subclass admits a decomposition into irreducible components comparable to that for semialgebraic sets. The last chapter is dedicated to the extension of some of the preceding results to smooth functions and quasi-analytic Denjoy-Carleman functions. The book is addressed to researchers and Ph.D students interested in complex analysis and real analytic geometry.
ISBN: 9783030966669
Standard No.: 10.1007/978-3-030-96666-9doiSubjects--Topical Terms:
516181
Geometry, Analytic.
LC Class. No.: QA551 / .A36 2022
Dewey Class. No.: 516.3
Topics in global real analytic geometry
LDR
:02105nmm a2200337 a 4500
001
2302103
003
DE-He213
005
20220607174545.0
006
m d
007
cr nn 008maaau
008
230409s2022 sz s 0 eng d
020
$a
9783030966669
$q
(electronic bk.)
020
$a
9783030966652
$q
(paper)
024
7
$a
10.1007/978-3-030-96666-9
$2
doi
035
$a
978-3-030-96666-9
040
$a
GP
$c
GP
041
0
$a
eng
050
4
$a
QA551
$b
.A36 2022
072
7
$a
PBMW
$2
bicssc
072
7
$a
MAT012010
$2
bisacsh
072
7
$a
PBMW
$2
thema
082
0 4
$a
516.3
$2
23
090
$a
QA551
$b
.A186 2022
100
1
$a
Acquistapace, Francesca.
$3
3602169
245
1 0
$a
Topics in global real analytic geometry
$h
[electronic resource] /
$c
by Francesca Acquistapace, Fabrizio Broglia, Jose F. Fernando.
260
$a
Cham :
$b
Springer International Publishing :
$b
Imprint: Springer,
$c
2022.
300
$a
xvii, 273 p. :
$b
ill., digital ;
$c
24 cm.
338
$a
online resource
$b
cr
$2
rdacarrier
490
1
$a
Springer monographs in mathematics,
$x
2196-9922
520
$a
This book provides an exposition of the theory of analytic C-spaces developed by Cartan, Whitney and Tognoli and describes some central results in global real analytic geometry, such as Nullstellensatze and Positivstellensatze, including Forster's global Nullstellensatz for Stein algebras. It emphasizes the central role of Hilbert's 17th Problem in this context, devoting a chapter to the state of the art on this difficult problem. The focus then turns to a class of semianalytic sets defined by countably many global real analytic functions, which is stable under topological operations and satisfies a direct image theorem. A smaller subclass admits a decomposition into irreducible components comparable to that for semialgebraic sets. The last chapter is dedicated to the extension of some of the preceding results to smooth functions and quasi-analytic Denjoy-Carleman functions. The book is addressed to researchers and Ph.D students interested in complex analysis and real analytic geometry.
650
0
$a
Geometry, Analytic.
$3
516181
650
1 4
$a
Algebraic Geometry.
$3
893861
700
1
$a
Broglia, Fabrizio.
$3
3602170
700
1
$a
Fernando, Jose F.
$3
3602171
710
2
$a
SpringerLink (Online service)
$3
836513
773
0
$t
Springer Nature eBook
830
0
$a
Springer monographs in mathematics.
$3
1535313
856
4 0
$u
https://doi.org/10.1007/978-3-030-96666-9
950
$a
Mathematics and Statistics (SpringerNature-11649)
筆 0 讀者評論
館藏地:
全部
電子資源
出版年:
卷號:
館藏
1 筆 • 頁數 1 •
1
條碼號
典藏地名稱
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
W9443652
電子資源
11.線上閱覽_V
電子書
EB QA551 .A36 2022
一般使用(Normal)
在架
0
1 筆 • 頁數 1 •
1
多媒體
評論
新增評論
分享你的心得
Export
取書館
處理中
...
變更密碼
登入