Mathematical Reviews

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of E.M.S. Hitzer

My frame was not hidden from you [God]
when I was made in the secret place.
When I was woven together
in the depths of the earth [dark of the womb (NLT)],

The Bible (NIV), Psalm 139, verse 15


These are mathematical reviews written by E.M.S. Hitzer. Click on Review at the beginning of each entry to read its review, if one is available. All other links lead directly to Mathematical Reviews resources on MathSciNet. For PDF papers the free ADOBE Reader is recommended. The original and latest reviews, together with journal and paper links are directly available from Mathematical Reviews (access may be restricted).

[ Publ. on Geometric Calculus | Other Publications | Video Lects. ]


Review of MR2737605 (2012c:15051) Dereli, Tekin; Koçak, ?ahin; Limoncu, Murat Degenerate spin groups as semi-direct products. Adv. Appl. Clifford Algebr. 20 (2010), no. 3-4, 565–573. (Reviewer: Eckhard M. S. Hitzer), 15A66 (11E88)
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Review of MR2737603 (2012d:81182) Baylis, W. E.; Cabrera, R.; Keselica, J. D. Quantum/classical interface: classical geometric origin of fermion spin. Adv. Appl. Clifford Algebr. 20 (2010), no. 3-4, 517–545. (Reviewer: Eckhard M. S. Hitzer), 81R25 (15A66 81P15 81P40 83A05)

Review of MR2645349 (2011m:81315) Keller, Jaime Matter and space-time. Adv. Appl. Clifford Algebr. 20 (2010), no. 2, 285–297. (Reviewer: Eckhard M. S. Hitzer), 81V25 (15A66 35C07 74E15 81R20)

Review of MR2645344 (2011j:15036) Bayro-Corrochano, Eduardo What can Hamilton, Grassmann, Clifford and Hestenes tell us about perception and action systems. Adv. Appl. Clifford Algebr. 20 (2010), no. 2, 217–240. (Reviewer: Eckhard M. S. Hitzer), 15A66 (51N15 62M45 68T40)

Review of MR2607588 (2011h:15039) Lasenby, Anthony Grassmann, geometric algebra and cosmology. Ann. Phys. 19 (2010), no. 3-5, 161–176. (Reviewer: Eckhard M. S. Hitzer), 15A66 (01A55 15-03 15A75 30G35 83F05)

Review of MR2676551 (2011f:42009) Bahri, Mawardi A generalized windowed Fourier transform for quaternions. Far East J. Appl. Math. 42 (2010), no. 1, 35–47. (Reviewer: Eckhard M. S. Hitzer), 42B10 (65T50 93E11 94A12)

Review of MR2575682 (2011h:15038) Ab?amowicz, Rafa? Computations with Clifford and Grassmann algebras. Adv. Appl. Clifford Algebr. 19 (2009), no. 3-4, 499–545. (Reviewer: Eckhard M. S. Hitzer), 15A66 (15A75 30G35 68W30)

Review of MR2561798 (2010m:15049) Cai, Yongyu; Huang, Liping Unitary congruence and unitary similarity for quaternion matrix. Adv. Math. (China) 38 (2009), no. 3, 309–318. (Reviewer: Eckhard M. S. Hitzer), 15B33 (15A21 20G20)
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Review of MR2490484 (2010f:81140) Baylis, William E. A relativistic algebraic approach to the Q/C interface: implications for "quantum reality''. Adv. Appl. Clifford Algebr. 18 (2008), no. 3-4, 395–415. (Reviewer: Eckhard M. S. Hitzer), 81R25 (15A66 81P15 81P40)

Review of MR2490480 (2010d:81127) Almeida, José B. Geometric algebra and particle dynamics. Adv. Appl. Clifford Algebr. 18 (2008), no. 3-4, 311–324. (Reviewer: Eckhard M. S. Hitzer), 81R05 (15A66)

Review of MR2430216 (2010c:53015) Yüce, Salim; Kuru?lu, Nuri One-parameter plane hyperbolic motions. Adv. Appl. Clifford Algebr. 18 (2008), no. 2, 279–285. (Reviewer: Eckhard M. S. Hitzer), 53A17 (15A66 51M09 70B05 83A05)

Review of MR2427172 (2009j:81051) Bogush, A. A.; Red?kov, V. M. On unique parametrization of the linear group GL(4,C) and its subgroups by using the Dirac algebra basis. Nonlinear Phenom. Complex Syst. 11 (2008), no. 1, 1–24. (Reviewer: Eckhard M. S. Hitzer), 81R05 (15A66 22E43 22E70 83C60)

Review of MR2409161 (2009k:15054) Li, Hongbo Invariant algebras and geometric reasoning. With a foreword by David Hestenes. World Scientific Publishing Co. Pte. Ltd., Hackensack, NJ, 2008. xiv+518 pp. ISBN: 978-981-270-808-3; 981-270-808-1 (Reviewer: Eckhard M. S. Hitzer), 15A66 (15A72 15A75 51A25 68T15)
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Review of MR2377520 (2009g:81086) Catoni, Francesco Commutative (Segre's) quaternion fields and relation with Maxwell equations. Adv. Appl. Clifford Algebr. 18 (2008), no. 1, 9–28. (Reviewer: Eckhard M. S. Hitzer), 81R25 (30E20 30G35 78A25 81R05)

Review of MR2333436 (2008k:68099) Falcón-Morales, Luis; Bayro-Corrochano, Eduardo Design of algorithms of robot vision using conformal geometric algebra. Int. Math. Forum 2 (2007), no. 17-20, 981–1005. (Reviewer: Eckhard M. S. Hitzer), 68T40 (15A66 52B55 68T45 81R25)

Review of MR2303060 (2008a:83007) Wei, Zhu; Xuegang, Yu Some physics questions in hyperbolic complex space. Adv. Appl. Clifford Algebr. 17 (2007), no. 1, 137–144. (Reviewer: Eckhard M. S. Hitzer), 83A05 (15A66 15A90 30G35)

Review of MR2303053 (2008b:83004) Boccaletti, Dino; Catoni, Francesco; Catoni, Vincenzo Space-time trigonometry and formalization of the "twin paradox'' for uniform and accelerated motions. Adv. Appl. Clifford Algebr. 17 (2007), no. 1, 1–22. (Reviewer: Eckhard M. S. Hitzer), 83A05 (33B10 51M09)

Review of MR2297981 (2008c:20094) Hestenes, David; Holt, Jeremy W. Crystallographic space groups in geometric algebra. J. Math. Phys. 48 (2007), no. 2, 023514, 22 pp. (Reviewer: Eckhard M. S. Hitzer), 20H15 (15A66 20F55 82D25)

Review of MR2292603 (2008b:81123) Almeida, José B. Hidden geometric character of relativistic quantum mechanics. J. Math. Phys. 48 (2007), no. 1, 012301, 14 pp. (Reviewer: Eckhard M. S. Hitzer), 81R25 (30G35 35Q40)

Review of MR2283595 (2009e:81107) de Sabbata, Venzo; Datta, Bidyut Kumar Geometric algebra and applications to physics. With an introduction by George T. Gillies. Taylor & Francis, New York, 2007. xiv+168 pp. ISBN: 978-1-58488-772-0; 1-58488-772-9 (Reviewer: Eckhard M. S. Hitzer), 81R25 (15A66 70S15 83C45)
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Review of MR2286447 (2007j:68153) López-Franco, C.; Bayro-Corrochano, E. Omnidirectional robot vision using conformal geometric computing. J. Math. Imaging Vision 26 (2006), no. 3, 243–260. (Reviewer: Eckhard M. S. Hitzer), 68T45 (51N15 68T10 68T40)

Review of MR2267846 (2007i:53040) Catoni, Francesco; Cannata, Roberto; Zampetti, Paolo An introduction to constant curvature spaces in the commutative (Segre) quaternion geometry. Adv. Appl. Clifford Algebr. 16 (2006), no. 2, 85–101. (Reviewer: Eckhard M. S. Hitzer), 53C22 (15A66 30G35)

Review of MR2500147 (2010g:83008) Kassandrov, Vladimir V. Algebrodynamics in complex space-time and the complex-quaternionic origin of Minkowski geometry. Gravit. Cosmol. 11 (2005), no. 4, 354–358. (Reviewer: Eckhard M. S. Hitzer), 83A05 (15A66 81R25)
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Review of MR2241252 (2007f:30079) Catoni, Francesco; Cannata, Roberto; Nichelatti, Enrico; Zampetti, Paolo Commutative hypercomplex numbers and functions of hypercomplex variable: a matrix study. Adv. Appl. Clifford Algebr. 15 (2005), no. 2, 183–212. (Reviewer: Eckhard M. S. Hitzer), 30G35 (15A66 30B40)

Review of MR2236622 (2007h:53019) Catoni, Francesco; Cannata, Roberto; Catoni, Vincenzo; Zampetti, Paolo N-dimensional geometries generated by hypercomplex numbers. Adv. Appl. Clifford Algebr. 15 (2005), no. 1, 1–25. (Reviewer: Eckhard M. S. Hitzer), 53A40

Review of MR2167432 (2006i:83068) Hestenes, David Gauge theory gravity with geometric calculus. Found. Phys. 35 (2005), no. 6, 903–969. (Reviewer: Eckhard M. S. Hitzer), 83D05 (15A66 81R25 83C60)

Review of MR2176863 (2006m:15031) Zhang, Zhengrong Complementarity forms of theorems of Lyapunov and Stein over quaternions. J. Nat. Sci. Nanjing Norm. Univ. 5 (2003), no. 2, 55–58. (Reviewer: Eckhard M. S. Hitzer), 15A33 (15A18 15A57 90C33)
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Review of MR2067059 (2006f:15001) Casanova, Gaston L'algèbre de Clifford et ses applications. (French) [The Clifford algebra and its applications] With an editorial note by Jaime Keller. Adv. Appl. Clifford Algebras 12 (2002), no. S1, viii+155 pp. (Reviewer: Eckhard M. S. Hitzer), 15-02 (15A66 15A90 81R25)

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