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===Books and publications=== {{refbegin|30em}} *{{cite book |last=Adler |first=Stephen L. |title=Quaternionic quantum mechanics and quantum fields |publisher=Oxford University Press |year=1995 |isbn=0-19-506643-X |lccn=94006306 |series=International series of monographs on physics |volume=88|ref=none }} *{{cite journal |first=Simon L. |last=Altmann |title=Hamilton, Rodrigues, and the Quaternion Scandal |journal=Mathematics Magazine |volume=62 |issue=5 |pages=291–308 |year=1989 |doi=10.1080/0025570X.1989.11977459 |ref=none }} *{{cite book |last1=Binz |first1=Ernst |first2=Sonja |last2=Pods |chapter=1. The Skew Field of Quaternions |title=Geometry of Heisenberg Groups |publisher=[[American Mathematical Society]] |year=2008 |isbn=978-0-8218-4495-3 |ref=none }} *{{cite EB1911|wstitle=Algebra|ref=none }} (''See section on quaternions.'') *{{cite book |last=Clerk Maxwell |first=James |author-link=James Clerk Maxwell |year=1873 |title=[[A Treatise on Electricity and Magnetism]] |publisher=Clarendon Press |location=Oxford |ref=none}} *{{cite book |last1=Conway |first1=John Horton |author-link=John Horton Conway |last2=Smith |first2=Derek A. |title=On Quaternions and Octonions: Their Geometry, Arithmetic, and Symmetry |publisher=A.K. Peters |year=2003 |isbn=1-56881-134-9 }} ([http://nugae.wordpress.com/2007/04/25/on-quaternions-and-octonions/ review]). *{{cite book |last=Crowe |first=Michael J. |year=1967 |title=[[A History of Vector Analysis]]: The Evolution of the Idea of a Vectorial System |publisher=University of Notre Dame Press |ref=none}} Surveys the major and minor vector systems of the 19th century (Hamilton, Möbius, Bellavitis, Clifford, Grassmann, Tait, Peirce, Maxwell, Macfarlane, MacAuley, Gibbs, Heaviside). *{{cite book |last1=Doran |first1=Chris J.L. |first2=Anthony N. |last2=Lasenby |title=Geometric Algebra for Physicists |year=2003 |publisher=Cambridge University Press |isbn=978-0-521-48022-2 |author1-link=Chris J. L. Doran|ref=none }} *{{cite book |last=Du Val |first=Patrick |author-link=Patrick du Val |title=Homographies, quaternions, and rotations |publisher=Clarendon Press |series=Oxford mathematical monographs |year=1964 |lccn=64056979|ref=none }} *{{cite journal |last=Evans |first=D.J. |title=On the Representation of Orientation Space |journal=Mol. Phys. |volume=34 |issue=2 |pages=317–325 |year=1977 |doi=10.1080/00268977700101751 |bibcode=1977MolPh..34..317E |ref=none }} For molecules that can be regarded as classical rigid bodies, [[molecular dynamics]] computer simulation employs quaternions. *{{ cite book |last1=Eves |first1=Howard |title=An Introduction to the History of Mathematics |edition=4th | location=New York |publisher=Holt, Rinehart and Winston |year=1976 |isbn=0-03-089539-1 }} *{{cite journal |last1=Finkelstein |first1=David |first2=Josef M. |last2=Jauch |first3=Samuel |last3=Schiminovich |first4=David |last4=Speiser |title=Foundations of quaternion quantum mechanics |journal=J. Math. Phys. |volume=3 |pages=207–220 |year=1962 |issue=2 |doi=10.1063/1.1703794 |bibcode=1962JMP.....3..207F |s2cid=121453456 |url=https://archive-ouverte.unige.ch/unige:162173 |ref=none }} *{{cite journal |first=Fuzhen |last=Zhang |title=Quaternions and Matrices of Quaternions |journal=Linear Algebra and Its Applications |volume=251 |pages=21–57 |year=1997 |doi=10.1016/0024-3795(95)00543-9 |doi-access=free |ref=none }} *{{cite book |last=Goldman |first=Ron |title=Rethinking Quaternions: Theory and Computation|year=2010|publisher=Morgan & Claypool |isbn=978-1-60845-420-4|ref=none }} *{{cite book |last1=Gürlebeck |first1=Klaus |last2=Sprössig |first2=Wolfgang |title=Quaternionic and Clifford calculus for physicists and engineers |publisher=Wiley |year=1997 |isbn=0-471-96200-7 |series=Mathematical methods in practice |volume=1 |lccn=98169958|ref=none }} *{{cite journal |author-link=William Rowan Hamilton |first=William Rowan |last=Hamilton |title=On quaternions, or on a new system of imaginaries in algebra |journal=Philosophical Magazine |volume=25 |issue=3 |pages=489–495 |year=1844 |doi=10.1080/14786444408645047 |url=https://zenodo.org/record/1431043 |ref=none }} *[[William Rowan Hamilton|Hamilton, William Rowan]] (1853), "''[https://web.archive.org/web/20140808040037/http://www.ugcs.caltech.edu/~presto/papers/Quaternions-Britannica.ps.bz2 Lectures on Quaternions]''". Royal Irish Academy. *Hamilton (1866) ''[https://archive.org/details/bub_gb_fIRAAAAAIAAJ Elements of Quaternions]'' [[University of Dublin]] Press. Edited by William Edwin Hamilton, son of the deceased author. *Hamilton (1899) ''Elements of Quaternions'' volume I, (1901) volume II. Edited by [[Charles Jasper Joly]]; published by [[Longmans, Green & Co.]] *{{cite book |last=Hanson |first=Andrew J. |title=Visualizing Quaternions |publisher=Elsevier |year=2006 |isbn=0-12-088400-3 |url=http://www.cs.indiana.edu/~hanson/quatvis/|ref=none }} *{{cite book |last1=Hazewinkel |first1=Michiel |author-link=Michiel Hazewinkel |first2=Nadiya |last2=Gubareni |first3=Vladimir V. |last3=Kirichenko |title=Algebras, rings and modules |publisher=Springer |year=2004 |isbn=1-4020-2690-0 |volume=1 |url=https://books.google.com/books?id=AibpdVNkFDYC }} *{{cite arXiv |last=Jack |first=P.M. |title=Physical space as a quaternion structure, I: Maxwell equations. A brief Note |date=2003 |eprint=math-ph/0307038|ref=none }} *{{cite book |last=Joly |first=Charles Jasper |title=A manual of quaternions |publisher=Macmillan |year=1905 |lccn=05036137|ref=none }} *{{cite book |last1=Kantor |first1=I.L. |last2=Solodnikov |first2=A.S. |title=Hypercomplex numbers, an elementary introduction to algebras |publisher=Springer-Verlag |year=1989 |isbn=0-387-96980-2 |ref=none }} *{{cite book |last=Kravchenko |first=Vladislav |title=Applied Quaternionic Analysis |publisher=Heldermann Verlag |year=2003 |isbn=3-88538-228-8 |ref=none }} *{{cite book |last=Kuipers |first=Jack |title=Quaternions and Rotation Sequences: A Primer With Applications to Orbits, Aerospace, and Virtual Reality |publisher=[[Princeton University Press]] |year=2002 |isbn=0-691-10298-8 |ref=none }} *{{cite book |last=Macfarlane |first=Alexander |author-link=Alexander Macfarlane |title=Vector analysis and quaternions |publisher=Wiley |edition=4th |year=1906 |lccn=16000048|ref=none }} *{{cite journal |last=Pujol |first=Jose |title=On Hamilton's Nearly-Forgotten Early Work on the Relation between Rotations and Quaternions and on the Composition of Rotations |journal=The American Mathematical Monthly |volume=121 |issue=6 |pages=515–522 |year=2014 |doi=10.4169/amer.math.monthly.121.06.515 |s2cid=1543951 |ref=none }} *{{cite book |last=Tait |first=Peter Guthrie |author-link=Peter Guthrie Tait |year=1873|title=An elementary treatise on quaternions |edition=2nd |location=Cambridge |publisher=The University Press |ref=none}} *{{cite book |last=Vince |first=John A. |title=Geometric Algebra for Computer Graphics |publisher=Springer |year=2008 |isbn=978-1-84628-996-5 |ref=none }} *{{cite book |last=Voight |first=John |title=Quaternion Algebras |series=Graduate Texts in Mathematics |publisher=Springer |year=2021 |volume=288 |isbn=978-3-030-57467-3 |doi=10.1007/978-3-030-56694-4 |doi-access=free |ref=none }} *{{cite book |last=Ward |first=J.P. |title=Quaternions and Cayley Numbers: Algebra and Applications |publisher=Kluwer Academic |year=1997 |isbn=0-7923-4513-4 |ref=none }} {{refend}}
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