國立高雄大學圖資館 |

語系: 繁體中文

說明(常見問題)

圖資館首頁

登入

回首頁

切換: 標籤 | MARC模式 | ISBD

Algebraic topologya primer /

Deo, Satya.

Algebraic topologya primer /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Algebraic topologyby Satya Deo.
其他題名:	a primer /
作者:	Deo, Satya.
出版者:	Singapore :Springer Singapore :2018.
面頁冊數:	xii, 344 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
標題:	Algebraic topology.
電子資源:	http://dx.doi.org/10.1007/978-981-10-8734-9
ISBN:	9789811087349$q(electronic bk.)

Algebraic topologya primer /
Deo, Satya.

Algebraic topologya primer /[electronic resource] :by Satya Deo. - 2nd ed. - Singapore :Springer Singapore :2018. - xii, 344 p. :ill., digital ;24 cm. - Texts and readings in mathematics,v.272366-8717 ;. - Texts and readings in mathematics ;74..

Chapter 1. Basic Topology: a review -- Chapter 2. The Fundamental Group -- Chapter 3. Simplicial Complexes -- Chapter 4. Simplicial Homology -- Chapter 5. Covering Projections -- Chapter 6. Singular Homology -- Chapter 7. Appendix.

This book presents the first concepts of the topics in algebraic topology such as the general simplicial complexes, simplicial homology theory, fundamental groups, covering spaces and singular homology theory in greater detail. Originally published in 2003, this book has become one of the seminal books. Now, in the completely revised and enlarged edition, the book discusses the rapidly developing field of algebraic topology. Targeted to undergraduate and graduate students of mathematics, the prerequisite for this book is minimal knowledge of linear algebra, group theory and topological spaces. The book discusses about the relevant concepts and ideas in a very lucid manner, providing suitable motivations and illustrations. All relevant topics are covered, including the classical theorems like the Brouwer's fixed point theorem, Lefschetz fixed point theorem, Borsuk-Ulam theorem, Brouwer's separation theorem and the theorem on invariance of the domain. Most of the exercises are elementary, but sometimes challenging, for the reader to provoke their curiosity for problem-solving.

ISBN: 9789811087349$q(electronic bk.)

Standard No.: 10.1007/978-981-10-8734-9doiSubjects--Topical Terms:

189702
Algebraic topology.

LC Class. No.: QA612 / .D36 2018

Dewey Class. No.: 514.2

Algebraic topologya primer /
LDR:02295nmm a2200325 a 4500 001 533963
003 DE-He213
005 20181011152332.0
006 m d
007 cr nn 008maaau
008 181205s2018 si s 0 eng d
020 $a 9789811087349$q(electronic bk.)
024 7 $a 10.1007/978-981-10-8734-9 $2 doi
035 $a 978-981-10-8734-9
040 $a GP $c GP
041 0 $a eng
050 4 $a QA612 $b .D36 2018
072 7 $a PBPD $2 bicssc
072 7 $a MAT038000 $2 bisacsh
082 0 4 $a 514.2 $2 23
090 $a QA612 $b .D418 2018
100 1 $a Deo, Satya. $3 809953
245 1 0 $a Algebraic topology $h [electronic resource] : $b a primer / $c by Satya Deo.
250 $a 2nd ed.
260 $a Singapore : $b Springer Singapore : $b Imprint: Springer, $c 2018.
300 $a xii, 344 p. : $b ill., digital ; $c 24 cm.
490 1 $a Texts and readings in mathematics, $x 2366-8717 ; $v v.27
505 0 $a Chapter 1. Basic Topology: a review -- Chapter 2. The Fundamental Group -- Chapter 3. Simplicial Complexes -- Chapter 4. Simplicial Homology -- Chapter 5. Covering Projections -- Chapter 6. Singular Homology -- Chapter 7. Appendix.
520 $a This book presents the first concepts of the topics in algebraic topology such as the general simplicial complexes, simplicial homology theory, fundamental groups, covering spaces and singular homology theory in greater detail. Originally published in 2003, this book has become one of the seminal books. Now, in the completely revised and enlarged edition, the book discusses the rapidly developing field of algebraic topology. Targeted to undergraduate and graduate students of mathematics, the prerequisite for this book is minimal knowledge of linear algebra, group theory and topological spaces. The book discusses about the relevant concepts and ideas in a very lucid manner, providing suitable motivations and illustrations. All relevant topics are covered, including the classical theorems like the Brouwer's fixed point theorem, Lefschetz fixed point theorem, Borsuk-Ulam theorem, Brouwer's separation theorem and the theorem on invariance of the domain. Most of the exercises are elementary, but sometimes challenging, for the reader to provoke their curiosity for problem-solving.
650 0 $a Algebraic topology. $3 189702
650 1 4 $a Mathematics. $3 184409
650 2 4 $a Algebraic Topology. $3 273784
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer eBooks
830 0 $a Texts and readings in mathematics ; $v 74. $3 789679
856 4 0 $u http://dx.doi.org/10.1007/978-981-10-8734-9
950 $a Mathematics and Statistics (Springer-11649)