Quaternion (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Quaternion" in English language version.

refsWebsite

Global rank English rank

11archive.org

6^th place

8doi.org

2^nd place

7books.google.com

3^rd place

3web.archive.org

1^st place

2nih.gov

4^th place

2harvard.edu

18^th place

17^th place

2semanticscholar.org

11^th place

8^th place

2wolframalpha.com

4,660^th place

5,295^th place

2worldcat.org

5^th place

1tony5m17h.net

low place

1nugae.wordpress.com

low place

1projecteuclid.org

3,707^th place

2,409^th place

1cmu.edu

1,564^th place

1,028^th place

1gamedeveloper.com

4,881^st place

2,796^th place

1zbmath.org

1,923^rd place

1,068^th place

1ucr.edu

1,553^rd place

1,008^th place

1quantamagazine.org

6,413^th place

4,268^th place

1loc.gov

70^th place

63^rd place

1tcd.ie

5,099^th place

3,425^th place

1indiana.edu

2,113^th place

1,465^th place

1ed.ac.uk

1,871^st place

1,234^th place

1ams.org

451^st place

277^th place

1bridgesmathart.org

low place

1hut.fi

low place

1arxiv.org

69^th place

59^th place

1diva-portal.org

3,588^th place

3,072^nd place

1cornell.edu

332^nd place

246^th place

1geometricalgebra.net

low place

ams.org

mathscinet.ams.org

Porteous, Ian R. (1995). "Chapter 8: Quaternions". Clifford Algebras and the Classical Groups (PDF). Cambridge Studies in Advanced Mathematics. Vol. 50. Cambridge: Cambridge University Press. p. 60. doi:10.1017/CBO9780511470912.009. ISBN 9780521551779. MR 1369094. OCLC 32348823.

archive.org

Hamilton described quaternions in a letter to John Graves, 17 October 1843. It was published in Hamilton (1844). Hamilton, William Rowan (1844). "On Quaternions; or on a new System of Imaginaries in Algebra". Philosophical Magazine. Ser. 3. 25 supplement (169): 489–495. doi:10.1080/14786444408645047.
Hamilton, W.R., Sir (1853). Lectures on Quaternions. Dublin, EI: Hodges & Smith. p. 60. quaternion quotient lines tridimensional space time{{cite book}}: CS1 maint: multiple names: authors list (link)
Hamilton, W.R., Sir (1866). Hamilton, W.E. (ed.). Elements of Quaternions. London: Longmans, Green, & Co.{{cite book}}: CS1 maint: multiple names: authors list (link)
Hamilton, W.R., Sir (1866). "Article 285". Elements of Quaternions. Longmans, Green, & Company. p. 310.{{cite book}}: CS1 maint: multiple names: authors list (link)
Gibbs, J. Willard; Wilson, Edwin Bidwell (1901). Vector Analysis. Yale University Press. p. 428. right tensor dyadic
Perlis, Sam (1971). "Capsule 77: Quaternions". Historical Topics in Algebra. Historical Topics for the Mathematical Classroom. Vol. 31. Reston, VA: National Council of Teachers of Mathematics. p. 39. ISBN 9780873530583. OCLC 195566.
Hamilton, W.R. (1853). Lectures on Quaternions. Dublin, IE: Hodges & Smith. p. 522.
Graves, R.P. Life of Sir William Rowan Hamilton. Dublin Hodges, Figgis. pp. 635–636.
Thompson, Silvanus Phillips (1910). The life of William Thomson. Vol. 2. London, UK: Macmillan. p. 1138.
Heaviside, Oliver (1893). Electromagnetic Theory. Vol. I. London, UK: The Electrician Printing and Publishing Company. pp. 134–135.
Silberstein, Ludwik (1924). "Preface to second edition". The Theory of Relativity (2nd ed.).

arxiv.org

Hanson, Jason (2011). "Rotations in three, four, and five dimensions". arXiv:1103.5263 [math.MG].

books.google.com

Rozenfelʹd, Boris Abramovich (1988). The history of non-euclidean geometry: Evolution of the concept of a geometric space. Springer. p. 385. ISBN 9780387964584.
Hardy, A.S. (1881). Elements of Quaternions. Ginn, Heath, & Co. p. 32. ISBN 9781429701860. PMID 17819877. {{cite book}}: ISBN / Date incompatibility (help)
See Hazewinkel, Gubareni & Kirichenko 2004, p. 12 Hazewinkel, Michiel; Gubareni, Nadiya; Kirichenko, Vladimir V. (2004). Algebras, rings and modules. Vol. 1. Springer. ISBN 1-4020-2690-0.
Conway & Smith 2003, p. 9 Conway, John Horton; Smith, Derek A. (2003). On Quaternions and Octonions: Their Geometry, Arithmetic, and Symmetry. A.K. Peters. ISBN 1-56881-134-9. (review).
Bradley, Robert E.; Sandifer, Charles Edward (2007). Leonhard Euler: Life, work and legacy. Elsevier. p. 193. ISBN 978-0-444-52728-8.
Gauss, C.F. (c. 1819). "Mutationen des Raumes" [Transformations of space]. In Martin Brendel (ed.). Carl Friedrich Gauss Werke [The works of Carl Friedrich Gauss]. Vol. 8. Prof. Stäckel of Kiel, Germany (article edited by). Göttingen, DE: Königlichen Gesellschaft der Wissenschaften [Royal Society of Sciences] (published 1900). pp. 357–361 – via Google.
McCarthy, J.M. (1990). An Introduction to Theoretical Kinematics. MIT Press. ISBN 978-0-262-13252-7.

bridgesmathart.org

archive.bridgesmathart.org

"[no title cited]" (PDF). bridgesmathart.org. archive. Retrieved 19 August 2018.

cmu.edu

cs.cmu.edu

Shoemake, Ken (1985). "Animating rotation with quaternion curves" (PDF). Computer Graphics. 19 (3): 245–254. doi:10.1145/325165.325242. Presented at SIGGRAPH '85.

cornell.edu

classe.cornell.edu

"Three-Dimensional Point Groups". www.classe.cornell.edu. Retrieved 2022-12-09.

diva-portal.org

Günaşti, Gökmen (2016). Quaternions Algebra, Their Applications in Rotations and Beyond Quaternions (BS). Linnaeus University.

doi.org

Hamilton described quaternions in a letter to John Graves, 17 October 1843. It was published in Hamilton (1844). Hamilton, William Rowan (1844). "On Quaternions; or on a new System of Imaginaries in Algebra". Philosophical Magazine. Ser. 3. 25 supplement (169): 489–495. doi:10.1080/14786444408645047.
Mamone, Salvatore; Pileio, Giuseppe; Levitt, Malcolm H. (2010). "Orientational Sampling Schemes Based on Four Dimensional Polytopes". Symmetry. 2 (3): 1423–1449. Bibcode:2010Symm....2.1423M. doi:10.3390/sym2031423.
Kunze, Karsten; Schaeben, Helmut (November 2004). "The Bingham distribution of quaternions and its spherical radon transform in texture analysis". Mathematical Geology. 36 (8): 917–943. Bibcode:2004MatGe..36..917K. doi:10.1023/B:MATG.0000048799.56445.59. S2CID 55009081.
Shoemake, Ken (1985). "Animating rotation with quaternion curves" (PDF). Computer Graphics. 19 (3): 245–254. doi:10.1145/325165.325242. Presented at SIGGRAPH '85.
Lambek, J. (1995). "If Hamilton had prevailed: Quaternions in physics". The Mathematical Intelligencer. Vol. 17, no. 4. pp. 7–15. doi:10.1007/BF03024783.
Farebrother, Richard William; Groß, Jürgen; Troschke, Sven-Oliver (2003). "Matrix representation of quaternions". Linear Algebra and Its Applications. 362: 251–255. doi:10.1016/s0024-3795(02)00535-9.
Porteous, Ian R. (1995). "Chapter 8: Quaternions". Clifford Algebras and the Classical Groups (PDF). Cambridge Studies in Advanced Mathematics. Vol. 50. Cambridge: Cambridge University Press. p. 60. doi:10.1017/CBO9780511470912.009. ISBN 9780521551779. MR 1369094. OCLC 32348823.
Park, F.C.; Ravani, Bahram (1997). "Smooth invariant interpolation of rotations". ACM Transactions on Graphics. 16 (3): 277–295. doi:10.1145/256157.256160. S2CID 6192031.

ed.ac.uk

maths.ed.ac.uk

Porteous, Ian R. (1995). "Chapter 8: Quaternions". Clifford Algebras and the Classical Groups (PDF). Cambridge Studies in Advanced Mathematics. Vol. 50. Cambridge: Cambridge University Press. p. 60. doi:10.1017/CBO9780511470912.009. ISBN 9780521551779. MR 1369094. OCLC 32348823.

gamedeveloper.com

Bobick, Nick (July 1998). "Rotating objects using quaternions". Game Developer.

geometricalgebra.net

"Quaternions and Geometric Algebra". geometricalgebra.net. Retrieved 2008-09-12. See also: Dorst, Leo; Fontijne, Daniel; Mann, Stephen (2007). Geometric Algebra for Computer Science. Morgan Kaufmann. ISBN 978-0-12-369465-2.

harvard.edu

ui.adsabs.harvard.edu

Mamone, Salvatore; Pileio, Giuseppe; Levitt, Malcolm H. (2010). "Orientational Sampling Schemes Based on Four Dimensional Polytopes". Symmetry. 2 (3): 1423–1449. Bibcode:2010Symm....2.1423M. doi:10.3390/sym2031423.
Kunze, Karsten; Schaeben, Helmut (November 2004). "The Bingham distribution of quaternions and its spherical radon transform in texture analysis". Mathematical Geology. 36 (8): 917–943. Bibcode:2004MatGe..36..917K. doi:10.1023/B:MATG.0000048799.56445.59. S2CID 55009081.

hut.fi

lce.hut.fi

Särkkä, Simo (June 28, 2007). "Notes on Quaternions" (PDF). Lce.hut.fi. Archived from the original (PDF) on 5 July 2017.

indiana.edu

cs.indiana.edu

"Visualizing Quaternions". Morgan-Kaufmann/Elsevier. 2005.

loc.gov

lccn.loc.gov

Altmann, Simon L. (1986). Rotations, Quaternions, and Double Groups. Clarendon Press. Ch. 12. ISBN 0-19-855372-2. LCCN 85013615.

nih.gov

pubmed.ncbi.nlm.nih.gov

Hardy, A.S. (1881). Elements of Quaternions. Ginn, Heath, & Co. p. 32. ISBN 9781429701860. PMID 17819877. {{cite book}}: ISBN / Date incompatibility (help)
Hardy, A.S. (1881). Elements of Quaternions. Ginn, Heath, & Co. p. 65 or 81 (?). ISBN 9781429701860. PMID 17819877.{{cite book}}: CS1 maint: ignored ISBN errors (link)

nugae.wordpress.com

Conway & Smith 2003, p. 9 Conway, John Horton; Smith, Derek A. (2003). On Quaternions and Octonions: Their Geometry, Arithmetic, and Symmetry. A.K. Peters. ISBN 1-56881-134-9. (review).

projecteuclid.org

Pujol, J. (2012). "Hamilton, Rodrigues, Gauss, quaternions, and rotations: A historical reassessment". Communications in Mathematical Analysis. 13 (2): 1–14 – via projecteuclid.org.

quantamagazine.org

Wood, Charlie (6 September 2018). "The strange numbers that birthed modern algebra". Abstractions (blog). Quanta Magazine.

semanticscholar.org

api.semanticscholar.org

Kunze, Karsten; Schaeben, Helmut (November 2004). "The Bingham distribution of quaternions and its spherical radon transform in texture analysis". Mathematical Geology. 36 (8): 917–943. Bibcode:2004MatGe..36..917K. doi:10.1023/B:MATG.0000048799.56445.59. S2CID 55009081.
Park, F.C.; Ravani, Bahram (1997). "Smooth invariant interpolation of rotations". ACM Transactions on Graphics. 16 (3): 277–295. doi:10.1145/256157.256160. S2CID 6192031.

tcd.ie

maths.tcd.ie

Hamilton, W.R. (1844–1850). "On quaternions or a new system of imaginaries in algebra". David R. Wilkins collection. Philosophical Magazine. Trinity College Dublin.

tony5m17h.net

Smith, Frank (Tony). "Why not sedenion?". Archived from the original on 14 January 2024. Retrieved 8 June 2018.

ucr.edu

math.ucr.edu

Huerta, John (27 September 2010). "Introducing the quaternions" (PDF). Archived (PDF) from the original on 2014-10-21. Retrieved 8 June 2018 – via U.C. Riverside (math.ucr.edu).

web.archive.org

Smith, Frank (Tony). "Why not sedenion?". Archived from the original on 14 January 2024. Retrieved 8 June 2018.
Huerta, John (27 September 2010). "Introducing the quaternions" (PDF). Archived (PDF) from the original on 2014-10-21. Retrieved 8 June 2018 – via U.C. Riverside (math.ucr.edu).
Särkkä, Simo (June 28, 2007). "Notes on Quaternions" (PDF). Lce.hut.fi. Archived from the original (PDF) on 5 July 2017.

wolframalpha.com

"quaternion group". Wolframalpha.com.
"[no title]". Wolframalpha.com. — determinant evaluation via online computer algebra software.

worldcat.org

search.worldcat.org

Perlis, Sam (1971). "Capsule 77: Quaternions". Historical Topics in Algebra. Historical Topics for the Mathematical Classroom. Vol. 31. Reston, VA: National Council of Teachers of Mathematics. p. 39. ISBN 9780873530583. OCLC 195566.
Porteous, Ian R. (1995). "Chapter 8: Quaternions". Clifford Algebras and the Classical Groups (PDF). Cambridge Studies in Advanced Mathematics. Vol. 50. Cambridge: Cambridge University Press. p. 60. doi:10.1017/CBO9780511470912.009. ISBN 9780521551779. MR 1369094. OCLC 32348823.

zbmath.org

Hurwitz, A. (1919). Vorlesungen über die Zahlentheorie der Quaternionen. Berlin, DE: J. Springer. JFM 47.0106.01. — concerning Hurwitz quaternions