國立高雄大學圖資館 |

登入

回首頁

Point-set topologya working textbook /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Point-set topologyby Rafael López.
其他題名:	a working textbook /
作者:	López, Rafael.
出版者:	Cham :Springer International Publishing :2024.
面頁冊數:	viii, 398 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer Nature eBook
標題:	Topology.
電子資源:	https://doi.org/10.1007/978-3-031-58513-5
ISBN:	9783031585135$q(electronic bk.)

Point-set topologya working textbook /
López, Rafael.

Point-set topologya working textbook /[electronic resource] :by Rafael López. - Cham :Springer International Publishing :2024. - viii, 398 p. :ill. (some col.), digital ;24 cm. - Springer undergraduate mathematics series,2197-4144. - Springer undergraduate mathematics series..

- Introduction -- Topological spaces -- Proximity on a topological space -- Metric spaces -- Continuity -- Homeomorphisms and topological invariants -- Product topology -- Connectedness -- Compactness -- Quotient topology -- The fundamental group.

This textbook offers a hands-on introduction to general topology, a fundamental tool in mathematics and its applications. It provides solid foundations for further study in mathematics in general, and topology in particular. Aimed at undergraduate students in mathematics with no previous exposure to topology, the book presents key concepts in a mathematically rigorous yet accessible manner, illustrated by numerous examples. The essential feature of the book is the large sets of worked exercises at the end of each chapter. All of the basic topics are covered, namely, metric spaces, continuous maps, homeomorphisms, connectedness, and compactness. The book also explains the main constructions of new topological spaces such as product spaces and quotient spaces. The final chapter makes a foray into algebraic topology with the introduction of the fundamental group. Thanks to nearly 300 solved exercises and abundant examples, Point-Set Topology is especially suitable for supplementing a first lecture course on topology for undergraduates, and it can also be utilized for independent study. The only prerequisites for reading the book are familiarity with mathematical proofs, some elements of set theory, and a good grasp of calculus.

ISBN: 9783031585135$q(electronic bk.)

Standard No.: 10.1007/978-3-031-58513-5doiSubjects--Topical Terms:

185965
Topology.

LC Class. No.: QA611

Dewey Class. No.: 514

Point-set topologya working textbook /
LDR:02525nmm a2200337 a 4500 001 659441
003 DE-He213
005 20240601125453.0
006 m d
007 cr nn 008maaau
008 240927s2024 sz s 0 eng d
020 $a 9783031585135$q(electronic bk.)
020 $a 9783031585128$q(paper)
024 7 $a 10.1007/978-3-031-58513-5 $2 doi
035 $a 978-3-031-58513-5
040 $a GP $c GP
041 0 $a eng
050 4 $a QA611
072 7 $a PBP $2 bicssc
072 7 $a MAT038000 $2 bisacsh
072 7 $a PBP $2 thema
082 0 4 $a 514 $2 23
090 $a QA611 $b .L864 2024
100 1 $a López, Rafael. $3 970836
245 1 0 $a Point-set topology $h [electronic resource] : $b a working textbook / $c by Rafael López.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2024.
300 $a viii, 398 p. : $b ill. (some col.), digital ; $c 24 cm.
490 1 $a Springer undergraduate mathematics series, $x 2197-4144
505 0 $a - Introduction -- Topological spaces -- Proximity on a topological space -- Metric spaces -- Continuity -- Homeomorphisms and topological invariants -- Product topology -- Connectedness -- Compactness -- Quotient topology -- The fundamental group.
520 $a This textbook offers a hands-on introduction to general topology, a fundamental tool in mathematics and its applications. It provides solid foundations for further study in mathematics in general, and topology in particular. Aimed at undergraduate students in mathematics with no previous exposure to topology, the book presents key concepts in a mathematically rigorous yet accessible manner, illustrated by numerous examples. The essential feature of the book is the large sets of worked exercises at the end of each chapter. All of the basic topics are covered, namely, metric spaces, continuous maps, homeomorphisms, connectedness, and compactness. The book also explains the main constructions of new topological spaces such as product spaces and quotient spaces. The final chapter makes a foray into algebraic topology with the introduction of the fundamental group. Thanks to nearly 300 solved exercises and abundant examples, Point-Set Topology is especially suitable for supplementing a first lecture course on topology for undergraduates, and it can also be utilized for independent study. The only prerequisites for reading the book are familiarity with mathematical proofs, some elements of set theory, and a good grasp of calculus.
650 0 $a Topology. $3 185965
650 0 $a Point set theory. $3 359911
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer Nature eBook
830 0 $a Springer undergraduate mathematics series. $3 544774
856 4 0 $u https://doi.org/10.1007/978-3-031-58513-5
950 $a Mathematics and Statistics (SpringerNature-11649)