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Scouting Knots Are Not the Same Knots when Knotted.

紀錄類型:	書目-語言資料,手稿 : Monograph/item
正題名/作者:	Scouting Knots Are Not the Same Knots when Knotted./
作者:	Sanchez, Andres L.
面頁冊數:	1 online resource (64 pages)
附註:	Source: Masters Abstracts International, Volume: 83-08.
Contained By:	Masters Abstracts International83-08.
標題:	Applied mathematics. -
電子資源:	click for full text (PQDT)
ISBN:	9798790635229

Scouting Knots Are Not the Same Knots when Knotted.
Sanchez, Andres L.

Scouting Knots Are Not the Same Knots when Knotted. - 1 online resource (64 pages)

Source: Masters Abstracts International, Volume: 83-08.

Thesis (M.S.)--Illinois State University, 2021.

Includes bibliographical references

Knots are used everyday by all people, mathematicians and non-mathematicians alike. There are certain subsets of people that use knots more frequently than others such as sailors or members of the Scouting Movement. A mathematical knot is a subset of 3-space that is homeomorphic to the unit circle. A knot used in non-mathematical circles is generally considered when two strings, etc. are wrapped around each other, with the ends potentially hanging. We introduce and explain through examples 1) how mathematical knots differ from general knots; 2) how mathematical knots differ from other mathematical knots via methods of deformation, colorability, and polynomials; 3) apply mathematical methods of knot determinations to practical knots to see how practical knots might behave as mathematical knots.

Electronic reproduction.
Ann Arbor, Mich. :
ProQuest,
2024

Mode of access: World Wide Web

ISBN: 9798790635229Subjects--Topical Terms:

1069907
Applied mathematics.
Subjects--Index Terms:

InvariantsIndex Terms--Genre/Form:

554714
Electronic books.

Scouting Knots Are Not the Same Knots when Knotted.
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500 $a Source: Masters Abstracts International, Volume: 83-08.
500 $a Advisor: Chebolu, Sunil.
502 $a Thesis (M.S.)--Illinois State University, 2021.
504 $a Includes bibliographical references
520 $a Knots are used everyday by all people, mathematicians and non-mathematicians alike. There are certain subsets of people that use knots more frequently than others such as sailors or members of the Scouting Movement. A mathematical knot is a subset of 3-space that is homeomorphic to the unit circle. A knot used in non-mathematical circles is generally considered when two strings, etc. are wrapped around each other, with the ends potentially hanging. We introduce and explain through examples 1) how mathematical knots differ from general knots; 2) how mathematical knots differ from other mathematical knots via methods of deformation, colorability, and polynomials; 3) apply mathematical methods of knot determinations to practical knots to see how practical knots might behave as mathematical knots.
533 $a Electronic reproduction. $b Ann Arbor, Mich. : $c ProQuest, $d 2024
538 $a Mode of access: World Wide Web
650 4 $a Applied mathematics. $3 1069907
650 4 $a Theoretical mathematics. $3 1180455
650 4 $a Mathematics. $3 527692
653 $a Invariants
653 $a Knot Theory
653 $a Knots
653 $a Topology
655 7 $a Electronic books. $2 local $3 554714
690 $a 0405
690 $a 0642
690 $a 0364
710 2 $a Illinois State University. $b Department of Mathematics. $3 1180663
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773 0 $t Masters Abstracts International $g 83-08.
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