Bibliography for Quaternions

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  1. Passive Attitude Control of Flexible Spacecraft from Quaternion Measurements
    Di Gennaro S.
    Journal of Optimization Theory and Applications, January 2003, vol. 116, no. 1, pp. 41-60(20), Ingenta.  
  2. GPS-based attitude determination of gyrostat satellite by quaternion estimation algorithms
    Kuang J.; Tan S.
    Acta Astronautica, November 2002, vol. 51, no. 11, pp. 743-759(17), Ingenta.  
  3. An Analog of the Poincaré Model for a Quaternion Hyperbolic Space
    Volchkov V.V.
    Ukrainian Mathematical Journal, October 2001, vol. 53, no. 10, pp. 1618-1625(8), Ingenta.  
  4. Computing the zeros of quaternion polynomials
    Serodio R.; Pereira E.; Vitoria J.
    Computers and Mathematics with Applications, October 2001, vol. 42, no. 8, pp. 1229-1237(9), Ingenta.  
  5. New Method for Extracting the Quaternion from a Rotation Matrix
    Bar-Itzhack I. Y.
    Journal of Guidance, Control, and Dynamics, 1 November 2000, vol. 23, no. 6, pp. 1085-1087(3)), Ingenta.  
  6. Generalisation of the Mandelbrot set to integral functions of quaternions.
    Gomatam, Jagannathan; McFarlane, Isobel
    Discrete Contin. Dynam. Systems 5 (1999), no. 1, 107--116, MathSciNet.  
  7. A Characterization of Quaternion Planes, Revisited
    Stroppel M.
    Geometriae Dedicata, September 1998, vol. 72, no. 2, pp. 179-187(9)), Ingenta.  
  8. Quaternions and Cayley numbers. Algebra and applications.
    Ward, J. P.
    Mathematics and its Applications, 403. Kluwer Academic Publishers Group, Dordrecht, 1997. xii+237 pp. ISBN: 0-7923-4513-4, MathSciNet.
  9. Iteration of Quaternion Functions  
    Stephen Bedding; Keith Briggs  
    American Mathematical Monthly, Vol. 103, No. 8. (Oct., 1996), pp. 654-664, Jstor.  
  10. Explanation in the historiography of mathematics: the case of Hamilton's quaternions.
    Koetsier, Teun
    Stud. Hist. Philos. Sci. 26 (1995), no. 4, 593--616, MathSciNet.  
  11. Fractals, chaos and quaternions.
    Doyle, John F.; Steves, Bonnie; Gomatam, Jagannathan
    From Newton to chaos (Cortina d'Ampezzo, 1993), 417--422, NATO Adv. Sci. Inst. Ser. B Phys., 336, Plenum, New York, 1995, MathSciNet.  
  12. Quaternions and the heuristic role of mathematical structures in physics.
    Anderson, Ronald; Joshi, Girish C.
    Phys. Essays 6 (1993), no. 2, 308--319, MathSciNet.  
  13. Quaternion solutions of four-dimensional Liouville and sine-Gordon equations.
    Chung, Won-Sang; Lee, Jungjai; Cho, Jin-Ho
    Modern Phys. Lett. A 7 (1992), no. 27, 2527--2533, MathSciNet.
  14. A quaternion representation of the Lorentz group for classical physical applications
    Abonyi I.; Bito J.F.; Tar J.K.
    Journal of Physics A: Mathematical and General, 1991, vol. 24, no. 14, pp. 3245-3254(10), Ingenta.  
  15. The origin of quaternions. (Spanish)
    Rosales Góngora, Antono
    Epsilon No. 13 (1989), 43--50, MathSciNet.  
  16. Hamilton, Rodrigues, and the Quaternion Scandal  
    Simon L. Altmann  
    Mathematics Magazine, Vol. 62, No. 5. (Dec., 1989), pp. 291-308, Jstor.  
  17. A Quick Introduction to Quaternions  
    McAllister, Byron L.  
    Pi Mu Epsilon J., (1989), V. 9, No. 1, pp. 23-25.  
  18. Doubling: Real, Complex, Quaternion, and beyond... Well, Maybe (in Classroom Capsules)  
    Robert C. Moore  
    The College Mathematics Journal, Vol. 17, No. 4. (Sep., 1986), pp. 342-343, Jstor.  
  19. Vector Identities from Quaternions (in Classroom Capsules)  
    William C. Schulz  
    The Two-Year College Mathematics Journal, Vol. 12, No. 4. (Sep., 1981), pp. 271-273, Jstor.  
  20. Equivalence of an Identity in Vector Analysis to Quaternion Associativity, and Ramifications (in Classroom Notes)  
    Andrew Sobczyk  
    American Mathematical Monthly, Vol. 88, No. 6. (Jun. - Jul., 1981), pp. 441-443, Jstor.  
  21. A Rational Polynomial whose Group is the Quaternions (in Mathematical Notes)  
    Richard A. Dean  
    American Mathematical Monthly, Vol. 88, No. 1. (Jan., 1981), pp. 42-45, Jstor.  
  22. Pseudo-quaternion and pseudo-octonion algebras.
    Okubo, Susumu
    Hadronic J. 1 (1978), no. 4, 1250--1278, MathSciNet.  
  23. Hamilton's Discovery of Quaternions  
    B. L. van der Waerden  
    Mathematics Magazine, Vol. 49, No. 5. (Nov., 1976), pp. 227-234, Jstor.  
  24. Hamilton's discovery of quaternions.
    van der Waerden, B. L.
    Translated from the German by F. V. Pohle. Math. Mag. 49 (1976), no. 5, 227--234, MathSciNet.  
  25. Are quaternions any use?
    Abrahamson, B.
    Math. Colloq. Univ. Cape Town 10 (1975/76), 114--127, MathSciNet.  
  26. On Analytic Function of a Quaternion Variable  
    Buoncristiana, A. M.  
    Pi Mu Epsilon J., (1974), V. 6, No. 1, pp. 8-11.  
  27. The Quaternion Calculus  
    C. A. Deavours  
    American Mathematical Monthly, Vol. 80, No. 9. (Nov., 1973), pp. 995-1008, Jstor.  
  28. On the definitions of complex numbers and quaternions.
    Ravaska, Timo
    Nordisk Mat. Tidskr. 19 (1971), 134--136, 155, MathSciNet.  
  29. The Quaternion Group in Plane Geometry  
    K. Sitaram  
    Proceedings of the American Mathematical Society, Vol. 19, No. 4. (Aug., 1968), pp. 857-858, Jstor.  
  30. The Involutory Antiautomorphisms of the Quaternion Algebra (in Mathematical Notes)  
    Rabe Von Randow  
    American Mathematical Monthly, Vol. 74, No. 6. (Jun. - Jul., 1967), pp. 699-700, Jstor.  
  31. An integral theorem for analytic intrinsic functions on quaternions.
    Cullen, C. G.
    Duke Math. J. 32 1965 139--148, MathSciNet.  
  32. The Geometric Theory of Quaternions  
    W. F. Eberlein  
    American Mathematical Monthly, Vol. 70, No. 9. (Nov., 1963), pp. 952-954, Jstor.  
  33. Complex Fibonacci Numbers and Fibonacci Quaternions (in Mathematical Notes)  
    A. F. Horadam  
    American Mathematical Monthly, Vol. 70, No. 3. (Mar., 1963), pp. 289-291, Jstor.  
  34. A Matric Proof of the Fundamental Theorem of Algebra for Real Quaternions (in Mathematical Notes)  
    Mark Leum; M. F. Smiley  
    American Mathematical Monthly, Vol. 60, No. 2. (Feb., 1953), pp. 99-100, Jstor.  
  35. Quaternions and Hadamard Matrices  
    W. A. Rutledge  
    Proceedings of the American Mathematical Society, Vol. 3, No. 4. (Aug., 1952), pp. 625-630, Jstor.  
  36. An Elementary Note on Powers of Quaternions  
    H. E. Salzer  
    American Mathematical Monthly, Vol. 59, No. 5. (May, 1952), pp. 298-300, Jstor.  
  37. An elementary note on powers of quaternions.
    Salzer, H. E.
    Amer. Math. Monthly 59, (1952). 298--300, MathSciNet.  
  38. The Use of Quaternions in Wave-Tensor Calculus  
    C. W. Kilmister  
    Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences, Vol. 199, No. 1059. (Dec. 7, 1949), pp. 517-532, Jstor.  
  39. Stereographic projection and the linear fractional group of transformations of quaternions.
    Gormley, P. G.
    Proc. Roy. Irish Acad. Sect. A. 51, (1947). 67--85, MathSciNet.  
  40. Quaternions and Reflections (Postscript) (in Discussions and Notes)  
    H. S. M. Coxeter  
    American Mathematical Monthly, Vol. 53, No. 10. (Dec., 1946), p. 588, Jstor.  
  41. Quaternions and Reflections  
    H. S. M. Coxeter  
    American Mathematical Monthly, Vol. 53, No. 3. (Mar., 1946), pp. 136-146, Jstor.  
  42. An elementary presentation of the theory of quaternions.
    Murnaghan, F. D.
    Scripta Math. 10, (1944). 37--49, MathSciNet.  
  43. The Roots of a Quaternion  
    Louis Brand  
    American Mathematical Monthly, Vol. 49, No. 8. (Oct., 1942), pp. 519-520, Jstor.  
  44. Quaternions and Sums of Three Squares  
    Gordon Pall  
    American Journal of Mathematics, Vol. 64, No. 1/4. (1942), pp. 503-513, Jstor.  
  45. The Roots of a Quaternion  
    Ivan Niven  
    American Mathematical Monthly, Vol. 49, No. 6. (Jun. - Jul., 1942), pp. 386-388, Jstor.  
  46. The roots of a quaternion.
    Brand, Louis
    Amer. Math. Monthly 49, (1942), MathSciNet.  
  47. Equations in Quaternions  
    Ivan Niven  
    American Mathematical Monthly, Vol. 48, No. 10. (Dec., 1941), pp. 654-661, Jstor.  
  48. On some applications of quaternions to restricted relativity and classical radiation theory.
    Weiss, P.
    Proc. Roy. Irish Acad. Sect. A. 46, (1941). 129--168, MathSciNet.  
  49. On the Arithmetic of Quaternions  
    Gordon Pall  
    Transactions of the American Mathematical Society, Vol. 47, No. 3. (May, 1940), pp. 487-500, Jstor.  
  50. Quaternion Treatment of the Relativistic Wave Equation  
    A. W. Conway  
    Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences, Vol. 162, No. 909. (Sep. 15, 1937), pp. 145-154, Jstor.  
  51. Doubly Divisible Quaternions  
    Horace L. Olson  
    The Annals of Mathematics, 2nd Ser., Vol. 31, No. 3. (Jul., 1930), pp. 371-374, Jstor.  
  52. Arithmetics of Generalized Quaternion Algebras  
    Claiborne G. Latimer  
    American Journal of Mathematics, Vol. 48, No. 1. (Jan., 1926), pp. 57-66, Jstor.  
  53. Quaternion Developments with Applications  
    James Byrnie Shaw  
    Transactions of the American Mathematical Society, Vol. 13, No. 3. (Jul., 1912), pp. 279-292, Jstor.  
  54. A Matrix Defined by the Quaternion Group  
    L. E. Dickson  
    American Mathematical Monthly, Vol. 9, No. 11. (Nov., 1902), pp. 243-248, Jstor.  
  55. Errata: A Matrix Defined by the Quaternion Group  
    American Mathematical Monthly, Vol. 9, No. 11. (Nov., 1902), p. 276, Jstor.  
  56. Quaternions and Projective Geometry  
    Charles Jasper Joly  
    Philosophical Transactions of the Royal Society of London. Series A, Containing Papers of a Mathematical or Physical Character, Vol. 201. (1903), pp. 223-327, Jstor.  
  57. Quaternion Space  
    Arthur S. Hathaway  
    Transactions of the American Mathematical Society, Vol. 3, No. 1. (Jan., 1902), pp. 46-59, Jstor.  
  58. The Linear Vector Operator of Quaternions  
    James Byrnie Shaw  
    American Journal of Mathematics, Vol. 19, No. 3. (Jul., 1897), pp. 267-282, Jstor.  
  59. Application of Quaternions to Projective Geometry  
    C. H. Chapman  
    American Journal of Mathematics, Vol. 14, No. 2. (Apr., 1892), pp. 115-140, Jstor.  
  60. Plane Trigonometry by Quaternions  
    De Volson Wood  
    The Analyst, Vol. 9, No. 1. (Jan., 1882), pp. 19-21, Jstor.  
  61. The Quaternion Formulae for Quantification of Curves, Surfaces and Solids, and for Barycentres  
    W. I. Stringham  
    American Journal of Mathematics, Vol. 2, No. 3. (Sep., 1879), pp. 205-210, Jstor.  
  62. Mechanics by Quaternions  
    E. W. Hyde  
    The Analyst, Vol. 8, No. 2. (Mar., 1881), pp. 49-55, Jstor.  
  63. Mechanics by Quaternions  
    E. W. Hyde  
    The Analyst, Vol. 7, No. 5. (Sep., 1880), pp. 137-144, Jstor.  
  64. Quaternions  
    De Volson Wood  
    The Analyst, Vol. 7, No. 1. (Jan., 1880), pp. 11-13, Jstor.  
  65. Origin of the Name "Quaternions"  
    W. W. Johnson  
    The Analyst, Vol. 7, No. 2. (Mar., 1880), p. 52, Jstor.   
  66. A Certain Class of Cubic Surfaces Treated by Quaternions  
    A. B. Chace  
    American Journal of Mathematics, Vol. 2, No. 4. (Dec., 1879), pp. 315-323, Jstor.  
  67. Quaternions  
    Christine Ladd  
    The Analyst, Vol. 4, No. 6. (Nov., 1877), pp. 172-174, Jstor.  

 

 

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