Rotations and Their Algebra

Arthur Mayer

SIAM Review · 1960 · 17 citations · 14 references

Concepts

Abstract

Next article Rotations and Their AlgebraArthur MayerArthur Mayerhttps://doi.org/10.1137/1002022PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] Garrett Birkhoff and , Saunders Mac Lane, A survey of modern algebra, Macmillan Co., New York, N. Y., 1953xi+472 MR0054551 (14,939a) 0052.25402 Google Scholar[2] V. N. Faddeeva, Computational methods of linear algebra, Dover Publications Inc., New York, 1959xi+252 MR0100344 (20:6777) 0086.10802 Google Scholar[3] Henry Margenau and , George Moseley Murphy, The mathematics of physics and chemistry, D. Van Nostrand Company, Inc., Princeton, N. J., 1956xii+604 MR0074264 (17,558h) 0071.04801 Google Scholar[4] E. A. Guillemin, The Mathematics of Circuit Analysis, John Wiley & Sons Inc., New York, N. Y., 1949xiv+590 MR0044595 (13,446d) 0036.41504 Google Scholar[5] Thomas L. Wade, The Algebra of Vectors and Matrices, Addison-Wesley Press, Inc., Cambridge, Mass., 1951ix+189 MR0043060 (13,200d) 0043.01301 Google Scholar[6] Harry Lass, Elements of pure and applied mathematics, McGraw-Hill Book Company, Inc., New York-Toronto-London, 1957xi+491 MR0086018 (19,110i) 0078.04101 Google Scholar[7] Bryan Higman, Applied group-theoretic and matrix methods, Oxford, at the Clarendon Press, 1955xiii+454 MR0077529 (17,1051a) 0068.01501 Google Scholar[8] R. A. Frazer, , W. J. Duncan and , A. R. Collar, Elementary Matrices and Some Applications to Dynamics and Differential Equations, Cambridge, at the University Press, 1946xvi+416 MR0019077 (8,365d) 0061.01403 Google Scholar[9] A. P. Wills, Vector analysis with an introduction to tensor analysis, Dover Publications Inc., New York, 1958xxxii+285 MR0097814 (20:4281) 0084.17504 Google Scholar[10] Abraham and , Becker, The Classical Theory of Electricity and Magnetism, Blackie, 1932 Google Scholar[11] R Courant, Differential and Integral Calculus, Vol. II, Nordeman (Interscience), 1936 Google Scholar[12] E. T. Whittaker, A Treatise on the Analytical Dynamics of Particles and Rigid Bodies, Dover Publications, New York, 1944xiv+456 MR0010813 (6,74d) 0061.41806 Google Scholar[13] A. G. Webster, The Dynamics of Particles and of Rigid, Elastic, and Fluid Bodies, Stechert, 1942 Google Scholar[14] C. E. Easthope, Three dimensional dynamics. A vectorial treatment, Academic Press Inc., New York, 1958viii+277 MR0090977 (19,898i) 0081.17804 Google Scholar[15] E. A. Milne, Vectorial Mechanics, Interscience Publishers Inc., New York, N. 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Johnson, Analog computer techniques, McGraw-Hill Book Co., Inc., New York, 1956xi+264 MR0122032 (22:12759) 0073.11304 Google Scholar Next article FiguresRelatedReferencesCited byDetails Review of Attitude Representations Used for Aircraft KinematicsJournal of Aircraft, Vol. 38, No. 4 Cross Ref A review of attitude kinematics for aircraft flight simulation22 August 2012 Cross Ref Uma revisão sobre a parametrização de rotações finitas na dinâmica de corpos rígidosJournal of the Brazilian Society of Mechanical Sciences, Vol. 22, No. 2 Cross Ref The Multioscillator Ring Laser Gyroscope Cross Ref Strapdown Navigation Technology: A Literature SurveyJournal of Guidance and Control, Vol. 1, No. 3 Cross Ref Strapdown navigation technology - A literature survey16 August 2012 Cross Ref Boundary-layer development on moving walls using an integral theoryAIAA Journal, Vol. 14, No. 8 Cross Ref Computer algorithms for computation of kinematical relations for three attitude angle systemsAIAA Journal, Vol. 14, No. 8 Cross Ref Rotations about nonorthogonal axes.AIAA Journal, Vol. 11, No. 6 Cross Ref Effect of Observation Errors on Satellite Attitude EstimationIEEE Transactions on Aerospace and Electronic Systems, Vol. AES-8, No. 1 Cross Ref Symbolic Representation of Coordinate TransformationsIEEE Transactions on Aerospace and Navigational Electronics, Vol. ANE-11, No. 2 Cross Ref Volume 2, Issue 2| 1960SIAM Review History Submitted:27 July 1959Published online:01 August 2006 InformationCopyright © 1960 © Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/1002022Article page range:pp. 77-122ISSN (print):0036-1445ISSN (online):1095-7200Publisher:Society for Industrial and Applied Mathematics

References

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