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
A basic course in topology
紀錄類型:
書目-語言資料,印刷品 : Monograph/item
正題名/作者:
A basic course in topology/ by Gerd Laures, Markus Szymik.
作者:
Laures, Gerd.
其他作者:
Szymik, Markus.
出版者:
Berlin, Heidelberg :Springer Berlin Heidelberg : : 2025.,
面頁冊數:
xii, 245 p. :ill., digital ; : 24 cm.;
Contained By:
Springer Nature eBook
標題:
Algebraic Topology. -
電子資源:
https://doi.org/10.1007/978-3-662-70602-2
ISBN:
9783662706022
A basic course in topology
Laures, Gerd.
A basic course in topology
[electronic resource] /by Gerd Laures, Markus Szymik. - Berlin, Heidelberg :Springer Berlin Heidelberg :2025. - xii, 245 p. :ill., digital ;24 cm. - Compact textbooks in mathematics,2296-455X. - Compact textbooks in mathematics..
- Basic Concepts of Topology -- Universal Constructions -- Connectivity and Separation -- Compactness and Mapping Spaces -- Transformation Groups -- Paths and Loops -- The Fundamental Group -- Covering Spaces -- Bundles and Fibrations -- Sheaves -- Simplicial Sets.
This book serves as an introduction to topology, a branch of mathematics that studies the qualitative properties of geometric objects. It is designed as a bridge between elementary courses in analysis and linear algebra and more advanced classes in algebraic and geometric topology, making it particularly suitable for both undergraduate and graduate mathematics students. Additionally, it can be used for self-study. The authors employ the modern language of category theory to unify and clarify the concepts presented, with definitions supported by numerous examples and illustrations. The book includes over 170 exercises that reinforce and deepen the understanding of the material. Many sections feature brief insights into advanced topics, providing a foundation for study projects or seminar presentations. In addition to set-theoretic topology, the book covers essential concepts such as fundamental groups, covering spaces, bundles, sheaves, and simplicial methods, which are vital in contemporary geometry and topology.
ISBN: 9783662706022
Standard No.: 10.1007/978-3-662-70602-2doiSubjects--Topical Terms:
672209
Algebraic Topology.
LC Class. No.: QA611
Dewey Class. No.: 514
A basic course in topology
LDR
:02370nam a2200349 a 4500
001
1161523
003
DE-He213
005
20250215115450.0
006
m d
007
cr nn 008maaau
008
251029s2025 gw s 0 eng d
020
$a
9783662706022
$q
(electronic bk.)
020
$a
9783662706015
$q
(paper)
024
7
$a
10.1007/978-3-662-70602-2
$2
doi
035
$a
978-3-662-70602-2
040
$a
GP
$c
GP
041
1
$a
eng
$h
ger
050
4
$a
QA611
072
7
$a
PBMW
$2
bicssc
072
7
$a
MAT012010
$2
bisacsh
072
7
$a
PBMW
$2
thema
082
0 4
$a
514
$2
23
090
$a
QA611
$b
.L383 2025
100
1
$a
Laures, Gerd.
$e
author.
$3
1257349
240
1 0
$a
Grundkurs Topologie.
$l
English
245
1 2
$a
A basic course in topology
$h
[electronic resource] /
$c
by Gerd Laures, Markus Szymik.
260
$a
Berlin, Heidelberg :
$b
Springer Berlin Heidelberg :
$b
Imprint: Birkhäuser,
$c
2025.
300
$a
xii, 245 p. :
$b
ill., digital ;
$c
24 cm.
490
1
$a
Compact textbooks in mathematics,
$x
2296-455X
505
0
$a
- Basic Concepts of Topology -- Universal Constructions -- Connectivity and Separation -- Compactness and Mapping Spaces -- Transformation Groups -- Paths and Loops -- The Fundamental Group -- Covering Spaces -- Bundles and Fibrations -- Sheaves -- Simplicial Sets.
520
$a
This book serves as an introduction to topology, a branch of mathematics that studies the qualitative properties of geometric objects. It is designed as a bridge between elementary courses in analysis and linear algebra and more advanced classes in algebraic and geometric topology, making it particularly suitable for both undergraduate and graduate mathematics students. Additionally, it can be used for self-study. The authors employ the modern language of category theory to unify and clarify the concepts presented, with definitions supported by numerous examples and illustrations. The book includes over 170 exercises that reinforce and deepen the understanding of the material. Many sections feature brief insights into advanced topics, providing a foundation for study projects or seminar presentations. In addition to set-theoretic topology, the book covers essential concepts such as fundamental groups, covering spaces, bundles, sheaves, and simplicial methods, which are vital in contemporary geometry and topology.
650
2 4
$a
Algebraic Topology.
$3
672209
650
1 4
$a
Algebraic Geometry.
$3
670184
650
0
$a
Topology.
$3
633483
700
1
$a
Szymik, Markus.
$e
author.
$3
1257350
710
2
$a
SpringerLink (Online service)
$3
593884
773
0
$t
Springer Nature eBook
830
0
$a
Compact textbooks in mathematics.
$3
1069870
856
4 0
$u
https://doi.org/10.1007/978-3-662-70602-2
950
$a
Mathematics and Statistics (SpringerNature-11649)
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