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Dual number
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==References== {{Reflist|30em}} ===Further reading=== {{refbegin|30em}} *{{cite journal |last=Bencivenga |first=Ulderico |date=1946 |title=Sulla rappresentazione geometrica delle algebre doppie dotate di modulo |language=Italian |trans-title=On the geometric representation of double algebras with modulus |journal=Atti della Reale Accademia delle Scienze e Belle-Lettere di Napoli |series=3 |mr=0021123 |volume=2 |issue=7}} *{{cite journal |last=Clifford |first=William Kingdon |author-link=William Kingdon Clifford |date=1873 |title=Preliminary Sketch of Bi-quaternions |journal=[[Proceedings of the London Mathematical Society]] |volume=4 |pages=381β395}} *{{cite journal |last1=Harkin |first1=Anthony A. |last2=Harkin |first2=Joseph B. |date=April 2004 |title=Geometry of Generalized Complex Numbers |journal=[[Mathematics Magazine]] |doi=10.1080/0025570X.2004.11953236 |s2cid=7837108 |volume=77 |issue=2 |pages=118β129 |url=http://people.rit.edu/harkin/research/articles/generalized_complex_numbers.pdf |archive-url=https://ghostarchive.org/archive/20221009/http://people.rit.edu/harkin/research/articles/generalized_complex_numbers.pdf |archive-date=2022-10-09 |url-status=live}} *{{cite journal |last1=Miller |first1=William |last2=Boehning |first2=Rochelle |date=1968 |title=Gaussian, Parabolic and Hyperbolic Numbers |journal=[[The Mathematics Teacher]] |volume=61 |issue=4 |pages=377β382|doi=10.5951/MT.61.4.0377 }} *{{cite book |last=Study |first=Eduard |author-link=Eduard Study |date=1903 |title=Geometrie der Dynamen |page=196 |publisher=B. G. Teubner |url=http://ebooks.library.cornell.edu/cgi/t/text/text-idx?c=math;cc=math;view=toc;subview=short;idno=03150002}} From ''Cornell Historical Mathematical Monographs'' at [[Cornell University]]. *{{cite book |last=Yaglom |first=I. M. |author-link=Isaak Yaglom |others=Translated from Russian by Eric J. F. Primrose |date=1968 |title=Complex Numbers in Geometry |publisher=[[Academic Press]] |location=New York and London |page=[https://archive.org/details/complexnumbersge00yagl_880/page/n20 12]–18 |url=https://archive.org/details/complexnumbersge00yagl_880 |url-access=limited}} *{{cite book |last=Brand |first=Louis |date=1947 |title=Vector and tensor analysis |publisher=John Wiley & Sons |location=New York}} *{{cite book |last=Fischer |first=Ian S. |date=1999 |title=Dual number methods in kinematics, static and dynamics |publisher=CRC Press |location=Boca Raton}} *{{cite book |last=Bertram |first=W. |date=2008 |title=Differential Geometry, Lie Groups and Symmetric Spaces over General Base Fields and Rings |series=Memoirs of the AMS |publisher=Amer. Math. Soc. |location=Providence, Rhode Island |volume=192 |number=900}} *{{cite web |title="Higher" tangent space |website=math.stackexchange.com |url=https://math.stackexchange.com/a/430886}} {{refend}} {{Number systems}} {{Infinitesimals}} {{DEFAULTSORT:Dual Number}} [[Category:Linear algebra]] [[Category:Hypercomplex numbers]] [[Category:Commutative algebra]] [[Category:Differential algebra]] [[Category:Nonstandard analysis]]
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