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
Basic algebraic topology and its app...
~
Adhikari, Mahima Ranjan.
FindBook
Google Book
Amazon
博客來
Basic algebraic topology and its applications
紀錄類型:
書目-電子資源 : Monograph/item
正題名/作者:
Basic algebraic topology and its applications/ by Mahima Ranjan Adhikari.
作者:
Adhikari, Mahima Ranjan.
出版者:
New Delhi :Springer India : : 2016.,
面頁冊數:
xxix, 615 p. :ill., digital ;24 cm.
內容註:
Prerequisite Concepts and Notations -- Basic Homotopy -- The Fundamental Groups -- Covering Spaces -- Fibre Bundles, Vector Bundles and K-theory -- Geometry of Simplicial Complexes and Fundamental Groups -- Higher Homotopy Groups -- Products in Higher Homotopy Groups -- CW-complexes and Homotopy -- Eilenberg-MacLane Spaces -- Homology and Cohomology Theories -- Eilenberg-Steenrod Axioms for Homology and Cohomology Theories -- Consequences of the Eilenberg-Steenrod Axioms -- Some Applications of Homology Theory -- Spectral Homology and Cohomology Theories -- Obstruction Theory -- More Relations Between Homotopy and Homology Groups -- A Brief Historical Note.
Contained By:
Springer eBooks
標題:
Algebraic topology. -
電子資源:
http://dx.doi.org/10.1007/978-81-322-2843-1
ISBN:
9788132228431$q(electronic bk.)
Basic algebraic topology and its applications
Adhikari, Mahima Ranjan.
Basic algebraic topology and its applications
[electronic resource] /by Mahima Ranjan Adhikari. - New Delhi :Springer India :2016. - xxix, 615 p. :ill., digital ;24 cm.
Prerequisite Concepts and Notations -- Basic Homotopy -- The Fundamental Groups -- Covering Spaces -- Fibre Bundles, Vector Bundles and K-theory -- Geometry of Simplicial Complexes and Fundamental Groups -- Higher Homotopy Groups -- Products in Higher Homotopy Groups -- CW-complexes and Homotopy -- Eilenberg-MacLane Spaces -- Homology and Cohomology Theories -- Eilenberg-Steenrod Axioms for Homology and Cohomology Theories -- Consequences of the Eilenberg-Steenrod Axioms -- Some Applications of Homology Theory -- Spectral Homology and Cohomology Theories -- Obstruction Theory -- More Relations Between Homotopy and Homology Groups -- A Brief Historical Note.
This book provides an accessible introduction to algebraic topology, a field at the intersection of topology, geometry and algebra, together with its applications. Moreover, it covers several related topics that are in fact important in the overall scheme of algebraic topology. Comprising eighteen chapters and two appendices, the book integrates various concepts of algebraic topology, supported by examples, exercises, applications and historical notes. Primarily intended as a textbook, the book offers a valuable resource for undergraduate, postgraduate and advanced mathematics students alike. Focusing more on the geometric than on algebraic aspects of the subject, as well as its natural development, the book conveys the basic language of modern algebraic topology by exploring homotopy, homology and cohomology theories, and examines a variety of spaces: spheres, projective spaces, classical groups and their quotient spaces, function spaces, polyhedra, topological groups, Lie groups and cell complexes, etc. The book studies a variety of maps, which are continuous functions between spaces. It also reveals the importance of algebraic topology in contemporary mathematics, theoretical physics, computer science, chemistry, economics, and the biological and medical sciences, and encourages students to engage in further study.
ISBN: 9788132228431$q(electronic bk.)
Standard No.: 10.1007/978-81-322-2843-1doiSubjects--Topical Terms:
532744
Algebraic topology.
LC Class. No.: QA612
Dewey Class. No.: 514.2
Basic algebraic topology and its applications
LDR
:02942nmm a2200313 a 4500
001
2052068
003
DE-He213
005
20160916130958.0
006
m d
007
cr nn 008maaau
008
170421s2016 ii s 0 eng d
020
$a
9788132228431$q(electronic bk.)
020
$a
9788132228417$q(paper)
024
7
$a
10.1007/978-81-322-2843-1
$2
doi
035
$a
978-81-322-2843-1
040
$a
GP
$c
GP
041
0
$a
eng
050
4
$a
QA612
072
7
$a
PBPD
$2
bicssc
072
7
$a
MAT038000
$2
bisacsh
082
0 4
$a
514.2
$2
23
090
$a
QA612
$b
.A234 2016
100
1
$a
Adhikari, Mahima Ranjan.
$3
2057841
245
1 0
$a
Basic algebraic topology and its applications
$h
[electronic resource] /
$c
by Mahima Ranjan Adhikari.
260
$a
New Delhi :
$b
Springer India :
$b
Imprint: Springer,
$c
2016.
300
$a
xxix, 615 p. :
$b
ill., digital ;
$c
24 cm.
505
0
$a
Prerequisite Concepts and Notations -- Basic Homotopy -- The Fundamental Groups -- Covering Spaces -- Fibre Bundles, Vector Bundles and K-theory -- Geometry of Simplicial Complexes and Fundamental Groups -- Higher Homotopy Groups -- Products in Higher Homotopy Groups -- CW-complexes and Homotopy -- Eilenberg-MacLane Spaces -- Homology and Cohomology Theories -- Eilenberg-Steenrod Axioms for Homology and Cohomology Theories -- Consequences of the Eilenberg-Steenrod Axioms -- Some Applications of Homology Theory -- Spectral Homology and Cohomology Theories -- Obstruction Theory -- More Relations Between Homotopy and Homology Groups -- A Brief Historical Note.
520
$a
This book provides an accessible introduction to algebraic topology, a field at the intersection of topology, geometry and algebra, together with its applications. Moreover, it covers several related topics that are in fact important in the overall scheme of algebraic topology. Comprising eighteen chapters and two appendices, the book integrates various concepts of algebraic topology, supported by examples, exercises, applications and historical notes. Primarily intended as a textbook, the book offers a valuable resource for undergraduate, postgraduate and advanced mathematics students alike. Focusing more on the geometric than on algebraic aspects of the subject, as well as its natural development, the book conveys the basic language of modern algebraic topology by exploring homotopy, homology and cohomology theories, and examines a variety of spaces: spheres, projective spaces, classical groups and their quotient spaces, function spaces, polyhedra, topological groups, Lie groups and cell complexes, etc. The book studies a variety of maps, which are continuous functions between spaces. It also reveals the importance of algebraic topology in contemporary mathematics, theoretical physics, computer science, chemistry, economics, and the biological and medical sciences, and encourages students to engage in further study.
650
0
$a
Algebraic topology.
$3
532744
650
1 4
$a
Mathematics.
$3
515831
650
2 4
$a
Algebraic Topology.
$3
891269
650
2 4
$a
Topological Groups, Lie Groups.
$3
891005
650
2 4
$a
Manifolds and Cell Complexes (incl. Diff.Topology)
$3
891270
650
2 4
$a
Group Theory and Generalizations.
$3
893889
650
2 4
$a
K-Theory.
$3
897432
710
2
$a
SpringerLink (Online service)
$3
836513
773
0
$t
Springer eBooks
856
4 0
$u
http://dx.doi.org/10.1007/978-81-322-2843-1
950
$a
Mathematics and Statistics (Springer-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
W9286521
電子資源
11.線上閱覽_V
電子書
EB QA612
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