"යුක්ලිඩියානු දෛශිකය" හි සංශෝධන අතර වෙනස්කම්

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58 පේළිය:
 
දෛශිකයක් නිරූපණය කිරීමේ පදනම ලෙස <math>\boldsymbol{\hat{x}}, \boldsymbol{\hat{y}}, \boldsymbol{\hat{z}}</math> යන කාටිසීය ඒකක දෛශික පමණක්ම භාවිතා කිරීම අනිවාර්ය නොවේ.<math>\boldsymbol{\hat{r}}, \boldsymbol{\hat{\theta}}, \boldsymbol{\hat{z}}</math> යන සිලිණ්ඩරාකාර ඒකක දෛශික මගින් හෝ යන <math>\boldsymbol{\hat{r}}, \boldsymbol{\hat{\theta}}, \boldsymbol{\hat{\phi}}</math> ගෝලීය ඒකක දෛශික මගින් හෝ දෛශික නිරූපණය කළ හැක. පසුව කියූ ආකාර දෙක වෙන වෙනම සිලිණ්ඩරාකාර හෝ ගෝලීය සමමිතියන් සහිත ගැටළු විසඳීම සඳහා යොදා ගැනීමට වඩාත් සුදුසු වේ.
 
==ආශ්‍රිත==
{{Div col|colwidth=25em}}
* [[Affine space]], which distinguishes between vectors and [[Point (geometry)|points]]
* [[Array data structure]] or [[Vector (Computer Science)]]
* [[Banach space]]
* [[Clifford algebra]]
* [[Complex number]]
* [[Coordinate system]]
* [[Covariance and contravariance of vectors]]
* [[Four-vector]], a non-Euclidean vector in Minkowski space (i.e. four-dimensional spacetime), important in [[theory of relativity|relativity]]
* [[Function space]]
* [[Grassmann]]'s ''Ausdehnungslehre''
* [[Hilbert space]]
* [[Normal vector]]
* [[Null vector]]
* [[Position (geometry)]]
* [[Pseudovector]]
* [[Quaternion]]
* [[Tangential and normal components]] (of a vector)
* [[Tensor]]
* [[Unit vector]]
* [[Vector bundle]]
* [[Vector calculus]]
* [[Vector notation]]
* [[Vector-valued function]]
{{div col end}}
 
==සටහන්==
{{Reflist}}
 
==මූලාශ්‍ර==
 
===Mathematical treatments===
*{{Cite book
| first = Tom
| last = Apostol
| author-link = Tom Apostol
| title = Calculus
| volume = 1: One-Variable Calculus with an Introduction to Linear Algebra
| publisher = Wiley
| year = 1967
| isbn = 978-0-471-00005-1
| url = https://archive.org/details/calculus01apos
}}
*{{Cite book
| first = Tom
| last = Apostol
| author-link = Tom Apostol
| title = Calculus
| volume = 2: Multi-Variable Calculus and Linear Algebra with Applications
| publisher = Wiley
| year = 1969
| isbn = 978-0-471-00007-5
| url-access = registration
| url = https://archive.org/details/calculus01apos
}}
*{{Citation
| title = Introduction to Tensor Calculus and Continuum Mechanics
| first = J. H.
| last = Heinbockel
| publisher = Trafford Publishing
| year = 2001
| isbn = 1-55369-133-4
| url = http://www.math.odu.edu/~jhh/counter2.html
}}.
*{{Citation
| last = Itô
| first = Kiyosi
| title = Encyclopedic Dictionary of Mathematics
| publisher = [[MIT Press]]
| edition = 2nd
| isbn = 978-0-262-59020-4
| year = 1993
}}.
*{{springer|id=V/v096340|title=Vector|first=A.B.|last=Ivanov}}.
*{{Citation
| last1 = Kane
| first1 = Thomas R.
| last2 = Levinson
| first2 = David A.
| title = Dynamics Online
| publisher = OnLine Dynamics
| location = Sunnyvale, California
| year = 1996
}}.
*{{Cite book
| first = Serge
| last = Lang
| author-link = Serge Lang
| title = Introduction to Linear Algebra
| edition = 2nd
| publisher = Springer
| year = 1986
| isbn = 0-387-96205-0
}}
*{{Cite book
| first = Daniel
| last = Pedoe
| author-link = Daniel Pedoe
| title = Geometry: A comprehensive course
| url = https://archive.org/details/geometrycomprehe0000pedo
| url-access = registration
| publisher = Dover
| year = 1988
| isbn = 0-486-65812-0
}}
 
===Physical treatments===
*{{Cite book
| last = Aris
| first = R.
| title = Vectors, Tensors and the Basic Equations of Fluid Mechanics
| publisher = Dover
| year = 1990
| isbn = 978-0-486-66110-0
| url = https://archive.org/details/vectorstensorsba00aris
}}
*{{Cite book
| first1 = Richard
| last1 = Feynman
| author1-link = Richard Feynman
| first2 = R.
| last2 = Leighton
| first3 = M.
| last3 = Sands
| year = 2005
| edition = 2nd
| title = The Feynman Lectures on Physics
| volume = I
| publisher = Addison Wesley
| isbn = 978-0-8053-9046-9
| chapter = Chapter 11
| title-link = The Feynman Lectures on Physics
}}
 
==භාහිර සබැඳි==
{{Wikiquote}}
{{Commons category|Vectors}}
{{Wikibooks|Waves|Vectors}}
* {{springer|title=Vector|id=p/v096340}}
* [https://web.archive.org/web/20120801005307/http://wwwppd.nrl.navy.mil/nrlformulary/vector_identities.pdf Online vector identities] ([[Portable Document Format|PDF]])
* [http://www.marco-learningsystems.com/pages/roche/introvectors.htm Introducing Vectors] A conceptual introduction ([[applied mathematics]])
 
{{Linear algebra}}
{{Authority control}}
 
[[Category:Kinematics]]
[[Category:Abstract algebra]]
[[Category:Vector calculus]]
[[Category:Linear algebra]]
[[Category:Concepts in physics]]
[[Category:Vectors (mathematics and physics)]]
[[Category:Analytic geometry]]
[[Category:Euclidean geometry]]
"https://si.wikipedia.org/wiki/යුක්ලිඩියානු_දෛශිකය" වෙතින් සම්ප්‍රවේශනය කෙරිණි