國立虎尾科技大學 |

A Ludic Journey into Geometric Topology

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	A Ludic Journey into Geometric Topology/ by Ton Marar.
作者:	Marar, Ton.
面頁冊數:	XIV, 115 p. 168 illus., 123 illus. in color.online resource. :
Contained By:	Springer Nature eBook
標題:	General Mathematics. -
電子資源:	https://doi.org/10.1007/978-3-031-07442-4
ISBN:	9783031074424

A Ludic Journey into Geometric Topology
Marar, Ton.

A Ludic Journey into Geometric Topology[electronic resource] /by Ton Marar. - 1st ed. 2022. - XIV, 115 p. 168 illus., 123 illus. in color.online resource.

Preface -- Mathematical Models -- The Big Bang Theory of Ancient Greece -- Geometry: From disorder to order -- Topology -- Fourth dimension -- Non-orientable surfaces -- Hypersurfaces.

This book draws on elements from everyday life, architecture, and the arts to provide the reader with elementary notions of geometric topology. Pac Man, subway maps, and architectural blueprints are the starting point for exploring how knowledge about geometry and, more specifically, topology has been consolidated over time, offering a learning journey that is both dense and enjoyable. The text begins with a discussion of mathematical models, moving on to Platonic and Keplerian theories that explain the Cosmos. Geometry from Felix Klein's point of view is then presented, paving the way to an introduction to topology. The final chapters present the concepts of closed, orientable, and non-orientable surfaces, as well as hypersurface models. Adopting a style that is both rigorous and accessible, this book will appeal to a broad audience, from curious students and researchers in various areas of knowledge to everyone who feels instigated by the power of mathematics in representing our world - and beyond. .

ISBN: 9783031074424

Standard No.: 10.1007/978-3-031-07442-4doiSubjects--Topical Terms:

1365847
General Mathematics.

LC Class. No.: QA440-699

Dewey Class. No.: 516

A Ludic Journey into Geometric Topology
LDR:02543nam a22003975i 4500 001 1082711
003 DE-He213
005 20220901141408.0
007 cr nn 008mamaa
008 221228s2022 sz | s |||| 0|eng d
020 $a 9783031074424 $9 978-3-031-07442-4
024 7 $a 10.1007/978-3-031-07442-4 $2 doi
035 $a 978-3-031-07442-4
050 4 $a QA440-699
072 7 $a PBM $2 bicssc
072 7 $a MAT012000 $2 bisacsh
072 7 $a PBM $2 thema
082 0 4 $a 516 $2 23
100 1 $a Marar, Ton. $e author. $0 (orcid)0000-0002-6060-9091 $1 https://orcid.org/0000-0002-6060-9091 $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1388479
245 1 2 $a A Ludic Journey into Geometric Topology $h [electronic resource] / $c by Ton Marar.
250 $a 1st ed. 2022.
264 1 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2022.
300 $a XIV, 115 p. 168 illus., 123 illus. in color. $b online resource.
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
347 $a text file $b PDF $2 rda
505 0 $a Preface -- Mathematical Models -- The Big Bang Theory of Ancient Greece -- Geometry: From disorder to order -- Topology -- Fourth dimension -- Non-orientable surfaces -- Hypersurfaces.
520 $a This book draws on elements from everyday life, architecture, and the arts to provide the reader with elementary notions of geometric topology. Pac Man, subway maps, and architectural blueprints are the starting point for exploring how knowledge about geometry and, more specifically, topology has been consolidated over time, offering a learning journey that is both dense and enjoyable. The text begins with a discussion of mathematical models, moving on to Platonic and Keplerian theories that explain the Cosmos. Geometry from Felix Klein's point of view is then presented, paving the way to an introduction to topology. The final chapters present the concepts of closed, orientable, and non-orientable surfaces, as well as hypersurface models. Adopting a style that is both rigorous and accessible, this book will appeal to a broad audience, from curious students and researchers in various areas of knowledge to everyone who feels instigated by the power of mathematics in representing our world - and beyond. .
650 2 4 $a General Mathematics. $3 1365847
650 2 4 $a Mathematics in Popular Science. $3 1388082
650 0 $a Mathematics. $3 527692
650 0 $a Topology. $3 633483
650 0 $a Geometry. $3 579899
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
776 0 8 $i Printed edition: $z 9783031074417
776 0 8 $i Printed edition: $z 9783031074431
776 0 8 $i Printed edition: $z 9783031074448
856 4 0 $u https://doi.org/10.1007/978-3-031-07442-4
912 $a ZDB-2-SMA
912 $a ZDB-2-SXMS
950 $a Mathematics and Statistics (SpringerNature-11649)
950 $a Mathematics and Statistics (R0) (SpringerNature-43713)