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Algebraic topology = a primer /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Algebraic topology/ by 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

Algebraic topology = a 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 ;37-38..

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

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

678206
Algebraic topology.

LC Class. No.: QA612 / .D36 2018

Dewey Class. No.: 514.2

Algebraic topology = a primer /
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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.
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