Curriculum Vitae

PUBLICATIONS

AMR = Applied Mechanics Reviews, MR = Mathematical Reviews

(a) BOOKS AND PARTS OF BOOKS

20	`Acts of geometrical construction in the Spherics of Theodosios', in Handbook of the Ancient and Medieval Mathematical Sciences in Honor of J.L. Berggren., Ed. Nathan C. Sidoli and Glen Van Brummelen, New York: Springer, to appear.
19	`Reflections on the objectivity of mathematics', in From an heuristic point of view. Essays in honor of Carlo Cellucci, Ed.~Cesare Cozzo and Emiliano Ippoliti, Newcastle upon Tyne: Cambridge Scholars Publishing, to appear.
18	Reprint of [b 52] in The best writing on mathematics 2010, Ed. Mircea Pitici, Princeton: Princeton University Press, 2011, pp.79--88.
17	`Extreme Science: Mathematics as the Science of Relations as such', in Proof and other dilemmas: Mathematics and philosophy, Ed. Bonnie Gold and Roger Simons, Washington, D.C.: Mathematical Association of America, 2008, pp. 245--263.
16	Reprint of [a 10] as History of Mathematics Sources, Volume 29. Providence: American Mathematical Society and London Mathematical Society, 2006. MR 2007a:01015.
15	`The comparison of mathematics with narrative', in Perspectives on mathematical practices: Bringing together philosophy of mathematics, sociology of mathematics, and mathematics education, Ed. Bart Van Kerkhove and J.P. Van Bendegem. Logic, Epistemology, and the Unity of Science; 5. Dordrecht: Springer, 2006, pp. 43-59.
14	`Euclid's Non-euclidean Geometry' in Daimonopylai: Essays in Classics and the Classical Tradition presented to Edmund G. Berry, Ed. R.B. Egan and M.A. Joyal, Winnipeg: University of Manitoba Centre for Hellenic Civilization, 2004, pp. 469-478.
13	`Radical constructive criticisms of von Glasersfeld's radical constructivism' in Constructing mathematical knowledge: Epistemology and mathematics education, Ed. Paul Ernest, London: Falmer Press, 1994, pp. 33-40.
12	Reprint of [b 40] in The mathematical legacy of Hanno Rund, Ed. J.V. Kadeisvili, Palm Harbor, Florida: Hadronic Press, 1994, pp. 149-167.
11	Reprint of [b 37] in Teaching at the University of Manitoba, Ed. B.J. Cameron, University Teaching Services, University of Manitoba, Winnipeg, 1993, p. 20.
10	Euclid's Phænomena: A translation and study of a Hellenistic work in spherical astronomy, J.L. Berggren and R.S.D. Thomas, Sources and Studies in the History and Philosophy of Classical Science, Volume 4, New York: Garland Publishing, 1996. MR 97a01006.
9	Proceedings of the Sixth Southeastern Conference on Combinatorics, Graph Theory, and Computing, Ed. F. Hoffman, R.C. Mullin, R.B. Levow, D. Roselle, R.G. Stanton, and R.S.D. Thomas, Boca Raton, Fla., 1975. MR 52 (1976), #5432.
8	Proceedings of the Fifth Southeastern Conference on Combinatorics, Graph Theory, and Computing, Ed. F. Hoffman, R.A. Kingsley, R.B. Levow, R.C. Mullin, and R.S.D. Thomas, Boca Raton, Fla., 1974. MR 50 (1975), #4315.
7	Proceedings of the Third Manitoba Conference on Numerical Mathematics, Ed. R.S.D. Thomas and H.C. Williams, Winnipeg, Man., 1973. MR 48 (1974), #10034.
6	Proceedings of the Fourth Southeastern Conference on Combinatorics, Graph Theory, and Computing, Ed. F. Hoffman, R.B. Levow, and R.S.D. Thomas, Boca Raton, Fla., 1973. MR 48 (1974), #10747.
5	Proceedings of the Second Manitoba Conference on Combinatorics, Graph Theory, and Computing, Ed. R.S.D. Thomas and H.C. Williams, Winnipeg, Man., 1972. MR 50 (1975), #3517.
4	Proceedings of the Third Southeastern Conference on Combinatorics, Graph Theory, and Computing, Ed. F. Hoffman, R.B. Levow, and R.S.D. Thomas, Boca Raton, Fla.,1972. MR 48 (1974), #8247.
3	Proceedings of the Manitoba Conference on Numerical Mathematics, Ed. R.S.D. Thomas and H. C. Williams, Winnipeg, Man., 1971. MR 48 (1974), #7525.
2	Proceedings of the Twenty-fifth Summer Meeting of the Canadian Mathematical Congress, Ed. W.R. Eames, R.G. Stanton, and R.S.D. Thomas, Thunder Bay, Ont., 1971. MR 48 (1974), #5776.
1	Proceedings of the Second Louisiana Conference on Combinatorics, Graph Theory, and Computing, Ed. R.C. Mullin, K.B. Reid, D.P. Roselle, and R.S.D. Thomas, Baton Rouge, La., 1971. MR 47 (1974), #4750.

(b) JOURNALS

58	`Is mathematics without metaphysics like morals without metaphysics?', The Mathematical Intelligencer 34 (2012), to appear.
57	`Perfect colourings of isonemal fabrics by thick striping', Bull. Australian Math. Soc. 85 (2012), 325--349. Online: http://arxiv.org/abs/1109.2254 [math.CO and on the journal site].
56	`Perfect colourings of isonemal fabrics by thin striping', Bull. Australian Math. Soc. 83 (2011), 63--86. Online: http://arxiv.org/abs/1006.5653 [math.CO] and on the journal site. MR2765415 to appear
55	`Isonemal Prefabrics with No Axes of Symmetry', Discrete Mathematics 310 (2010), 1307--1324. Available at ArXiv and at the journal site. MR2592485 2011i:52029
54	`Isonemal Prefabrics with Perpendicular Axes of Symmetry', Utilitas Mathematica, 82 (2010), 33--70. Available at ArXiv. MR2663366 2011f:05070
53	`Isonemal Prefabrics with Only Parallel Axes of Symmetry', Discrete Mathematics 309 (2009), 2696--2711. Available at ArXiv and the journal site.
52	`Mathematics is not a game but ...', The Mathematical Intelligencer 31 (2009), No. 1, 4--8. Online on the journal site.
51	`Mathematics and Narrative', The Mathematical Intelligencer 24 (2002), No. 3, 43-46.
50	`Idea Analysis of Groups', Philosophical Psychology 15 (2002), 185-195.
49	`Mathematics and Fiction II: Analogy', Logique et Analyse 45 (2002), 185-228.
48	`Mathematics and Fiction I: Identification', Logique et Analyse 43 (2000), 301-340.
47	`An Exchange about Word Problems', R. S. D. Thomas and S. Gerofsky, For the learning of mathematics 17 (1997), No. 2, 21-23.
46	`Kinematic compatibility conditions of third order for a three-dimensional surface vector field', Quarterly of App. Math., 55 (1997), 635-657. MR 98m:53023.
45	'Proto-Mathematics and/or Real Mathematics', For the learning of mathematics 16 (1996), No. 2, 11--18.
44	`The biological turn in discussion of the development of mathematical knowledge', Bulletin of the Canadian Society for History and Philosophy of Mathematics, November 1995, 4--5 and 12.
43	`Hermite interpolation with a pair of spirals', D.S. Meek and R.S.D. Thomas, Computer Aided Geometric Design 10 (1993), 491--507. MR 95c:41011.
42	`Kinematic compatibility conditions for a three-dimensional vector field on a moving surface', Utilitas Math. 43 (1993), 7--32. MR 94h:53018.
41	`Editorial: Explanations, Policy, and Thanks', Phil. Math. (3) 1 (1993), 66--70.
40	`Third-order geometric compatibility conditions for a three-dimensional surface vector field', Algebras, Groups, and Geometries 10 (1993), 149--167. MR 94h:53019. Reprinted as [a 12].
39	`The humane side of mathematics and its teaching', Bulletin of the Institute of Mathematics and its Applications 29 (1993), 146--147.
38	`Mathematics and philosophy', CMS Notes de la SMC 25 (1993), No. 1 (Jan/Feb), 10.
37	`Teaching tips for testing in large classes', University [of Manitoba] Teaching Services Newsletter, 1 (1992--93), No 2, 4--5. Reprinted as [a 11].
36	`Mathematical astronomy in the fourth century B.C. as found in Euclid's Phaenomena', J.L. Berggren and R.S.D. Thomas, Physis Riv. Internaz. Storia Sci. (N.S.) 29 (1992), 7--33. MR 94g:01008.
35	`On the derivation of the acoustic matrix for isotropic linearly elastic shells', Meccanica 26 (1991), 111--115. AMR 45 (1991), #2A89.
34	`The patterns of the isonemal two-colour two-way two-fold fabrics', J.A. Hoskins and R.S.D. Thomas, Bull. Australian Math. Soc. 44 (1991), 33--43. MR 92h:52024.
33	`A guided clothoid spline', D.S. Meek and R.S.D. Thomas, Computer Aided Geometric Design 8 (1991), 163--174. MR 92c:65018.
32	`The human/computer interface: their side or ours?', Humanistic Mathematics Network Newsletter, No. 6 (May 1991), 39--41.
31	`Meanings in ordinary language and in mathematics', Philosophia Mathematica (2) 6 (1991), 3--38. MR 92m:00014.
30	`Popular first-year textbooks in mathematics and statistics 1990-1991', Canad. Math. Soc. Notes 23 (1991), No. 2, 42--49.
29	`Transient waves in inhomogeneous elastic shells of variable thickness', H. Cohen and R.S.D. Thomas, Acta Mechanica 83 (1990), 177--186. AMR 44 (1991), #3A133.
28	`A simple result on curvatures of propagating curves and surfaces', Utilitas Math. 38 (1990), 111--117.
27	`Inquiry into meaning and truth', Philosophia Mathematica (2) 5 (1990), 73--87.
26	`First-year textbooks in mathematics and statistics 1989-1990', Canad. Math. Soc. Notes 22 (1990), No. 1, 22--34.
25	`Transient waves in inhomogeneous anisotropic elastic shells', H. Cohen and R.S.D. Thomas, Acta Mechanica 77 (1989), 47--67. AMR 42 (1989), #11A78; MR 90c:73094.
24	`First-year textbooks in mathematics and statistics 1988-1989', Canad. Math. Soc. Notes 21 (1989), No. 1, 11--24.
23	`A first university mathematics course: classical algebra to numerical methods', D.W. Trim and R.S.D. Thomas, Applied Mathematics Notes 13 (1988), 51--56.
22	`First-year textbooks in mathematics and statistics 1987-1988', Applied Mathematics Notes 12 (1987), Nos 3/4, 51--63.
21	`Cartesian and non-cartesian thinking: reflections on learning mathematics', For the learning of mathematics 7 (1987), No. 1, 23--29.
20	`First-year textbooks in mathematics and statistics 1986-1987', Applied Mathematics Notes 11 (1986), Nos 3/4, 53--63.
19	`Evolution of acceleration waves in transversely isotropic elastic media', Utilitas Math. 29 (1986), 133--148. AMR 41 (1988), #6A101; MR 87g:73035.
18	`Transient waves in inhomogeneous anisotropic elastic plates', H. Cohen and R.S.D. Thomas, Acta Mechanica 58 (1986), 41--57. AMR 39 (1986), #10J105; MR 87e:73037.
17	`The Bible as genetic code: a helpful analogy', J. Amer. Scientific Affiliation 38 (1986), 38--40.
16	`Transient waves in inhomogeneous isotropic elastic plates', H. Cohen and R.S.D. Thomas, Acta Mechanica 53 (1984), 141--161. AMR 38 (1985), #5.073.
15	`Conditions for isonemal arrays on a Cartesian grid', W.D. Hoskins and R.S.D. Thomas, Linear Algebra and Applic. 57 (1984), 87--103. MR 85a:05020.
14	`Caustics in crystal acoustics', R.S.D. Thomas and H. Cohen, Physical Rev. B 28 (1983), 4836--4838. Physics Abstracts 87 (1984), #10486.
13	`Plane wave propagation and evolution for quasilinear hyperbolic systems', H. Cohen and R.S.D. Thomas, Utilitas Math. 24 (1983), 199--233. MR 85e:350103.
12	`The triangle inequality of Lessells and Pelling', B.E. Patuwo, C.-L.Wang, and R.S.D. Thomas, Univ. Beograd. Publ. Electrotehn. Fak. Ser. Mat. Fiz., No. 678--No. 715 (1980), 45--47. MR 82i:51034.
11	`Multiple-origin single-destination transit routing', R.S.D. Thomas and J.M. Wells, INTERFACES 10 (1980), 41--43. Intern. Abstracts in OR 24 (1982), #24661.
10	`Postal codes locate special transit demand', R.S.D. Thomas and J.M. Wells, Logistics and Transport. Rev. 14 (1978), 90.
9	`On structural mapping for policy selection', OMEGA Intern. J. of Management Sci. 5 (1977), 505.
8	`The structure of the fundamental braids', Quart. J. of Math. (Oxford 2) 26 (1975), 283--288. MR 52 (1976), #1664.
7	`Garside's braid-conjugacy solution implemented', R.S.D. Thomas and B.T. Paley, Utilitas Math. 6 (1974), 321--335. MR 50 (1975), #13208.
6	`Partially closed braids', Canad. Math. Bull. 17 (1974), 99--107. MR 51 (1976), #4213.
5	`Isotopic closed non-conjugate braids', K. Murasugi and R.S.D. Thomas, Proc. Amer. Math. Soc. 33 (1972), 137--139. MR 45 (1973), #1149.
4	`Parallelizability in topological dynamics', Tydskrif vir Natuurwetenskappe 11 (1971), 1--10. MR 45 (1973), #5986.
3	`Commuting continuous flows on manifolds', Math. Systems Theory 4 (1970), 193--197. MR 43 (1972), #6948.
2	`The equality of a manifold's rank and dimension', Canad. Math. Bull. 12 (1969), 183--184. MR 39 (1970), #4874.
1	`They do not tell us the ``why'' of anything', The Trinity Review 77 (1963), 19--20.

(c) CONFERENCE CONTRIBUTIONS AND ABSTRACTS

20	`The dramatis personae of the Spherics of Theodosios', delivered at the fifth joint meeting of the Canadian Society for History and Philosophy of Mathematics and British Society for History of Mathematics, Dublin, 2011 7 15, and to be printed in proceedings.
20	`Assimilation: Not only indiscernibles are identified', delivered at the conference Logic and Knowledge, University of Rome `La Sapienza', June 18, 2010. Logic and Knowledge, pp. 363--379. Carlo Cellucci, Emily R. Grosholz, and Emiliano Ippoliti, eds. Newcastle upon Tyne: Cambridge Scholars Publishing.
20	`Why a mathematician might be (a bit) interested in Theodosios's Spherics', delivered at the thirty-sixth annual meeting of the Canadian Society for History and Philosophy of Mathematics, Concordia University, May 30, 2010, and printed in proceedings, pp. 305--309.
20	`A game analogy for mathematics', delivered at the thirty-fourth annual meeting of the Canadian Society for History and Philosophy of Mathematics, University of British Columbia, June 2, 2008, and printed in proceedings, pp. 182--186.
19	`Mathematics as the science of relations as such', delivered at the thirty-first annual meeting of the Canadian Society for History and Philosophy of Mathematics, University of Waterloo, June 5, 2005, and printed in proceedings, pp. 209--214.
18	`Narrative and teaching applied mathematics', delivered at the International conference on History and Philosophy of Science in Science Teaching, University of Winnipeg, August 2, 2003, included on proceedings compact disk.
17	`Mathematicians and Mathematical Objects', One Hundred Years of Russell's Paradox. Papers from the 2001 Munich Russell Conference, ed. Godehard Link, Berlin: De Gruyter, 2004, pp. 577-590. MR 2005h:03023.
16	`Mathematics and fiction: A comparison', delivered at the twenty-sixth annual meeting of the Canadian Society for the History and Philosophy of Mathematics, McMaster University, June 12, 2000, and printed in proceedings, pp. 206-210.
15	`What phenomena did Euclid write about', delivered at the twenty-fifth annual meeting of the Canadian Society for the History and Philosophy of Mathematics, University of Toronto, July 17, 1999, and printed in proceedings, pp. 202-206.
14	`From Ethnomathematics to Real Mathematics', delivered at the twenty-first annual meeting of the Canadian Society for the History and Philosophy of Mathematics, Université du Québec à Montréal, June 5, 1995, and printed in proceedings, pp. 217--225.
13	`Function, fiction, and fact', delivered at the interdisciplinary conference `Myth and Knowledge', Wilfred Grenfell College, Corner Brook, Newfoundland, May 20--23, 1992, and printed in the unpaginated proceedings.
12	`Propagation of acceleration waves in isotropic linearly elastic shells of slowly varying thickness', 13th Canadian Congress of Applied Mechanics, Winnipeg, June, 1991, abstract printed in proceedings, pp. 366, 367.
11	`Decay of transient waves in inhomogeneous anisotropic elastic shells', H. Cohen and R.S.D. Thomas, Continuum Mechanics and its Applications, ed. G.A.C. Graham and S.K. Malik, New York: Hemisphere Publishing Corporation, 1989, pp. 267--276. MR 91i:73026.
10	`Mathematics is a sphere not a Klein bottle', delivered at the fifteenth annual meeting of the Canadian Society for the History and Philosophy of Mathematics, Université Laval, Québec, May 30, 1989, and printed in proceedings, pp. 191--199.
9	`First-year non-calculus mathematics', D.W. Trim and R.S.D. Thomas, delivered by co-author to the Sixth Canadian Conference on Engineering Education, Winnipeg, May, 1988, and printed in proceedings, pp. 441--449.
8	`Geometrical crystal acoustics', R.S.D. Thomas and H. Cohen, Wave phenomena: Modern theory and applications, ed. C. Rogers and T.B. Moodie (North-Holland Mathematics Studies, 97), Amsterdam: Elsevier Scientific, 1984, pp. 113--122. MR 86i:73019.
7	`The activity and application of mathematics', delivered at the fourth biennial conference of the Association of Christians in the Mathematical Sciences, Wheaton College, Wheaton, Ill., May, 1983, and printed in proceedings, pp. 37--48.
6	`An exploratory algorithm and some results on braids closed to a circle', Proc. 6th Manitoba Conf. on Numerical Math. and Computing, Winnipeg (Congressus Numerantium 18), 1976, pp. 447--462. MR 81c:20025.
5	`A table of knots as closed braids', E. Luginbuhl and R.S.D. Thomas, Proc. 4th Southeastern Conf. on Combinatorics, Graph Theory, and Computing , Boca Raton, Fla. (Congressus Numerantium 8), 1973, pp. 423--444. MR 50 (1975), #5776.
4	`Closed and partially closed braids', Proc. 3rd Southeastern Conf. on Combinatorics, Graph Theory, and Computing , Boca Raton, Fla. (Congressus Numerantium 6), 1972, pp.447--450. MR 49 (1975), #11496.
3	`On notations for non-permuting braids', L.O. James, E. Luginbuhl, and R.S.D. Thomas, Proc. 25th Summer Meeting, Canad. Math. Congress , Thunder Bay, Ont. (Congressus Numerantium 4), 1971, pp. 457--470. MR 51 (1976), #9044.
2	`Computed equivalence of partially closed braids', Proc. 25th Summer Meeting, Canad. Math. Congress, Thunder Bay, Ont. (Congressus Numerantium 4), 1971, pp. 564--584. MR 49 (1975), #3887.
1	`An algorithm for combing braids', Proc. 2nd Louisiana Conf. on Combinatorics, Graph Theory, and Computing, Baton Rouge, La. (Congressus Numerantium 3), 1971, pp. 545--558. MR 50 (1975), #5780.

(d) COURSE NOTES

6	`Applied group theory and other algebra', F.M. Arscott and R.S.D. Thomas, University of Manitoba, 2008. Chapters 1--3 and 6 of [5] and two new chapters.
5	`Group theory', F.M. Arscott and R.S.D. Thomas, University of Manitoba, 1981.
4	`Rational language and applied mathematics', University of Manitoba, 1980.
3	`Course 6.240 (Mathematical Modelling A) Case study No. 2, Graph theoretic models of sequencing', University of Manitoba, 1979.
2	`Study guide to S. Lang, A first course in calculus (Second edition)', University of Zambia, 1969.
1	`Study guide to Allendoerfer and Oakley, Fundamentals of freshman mathematics (First edition)', University of Zambia, 1969.

(e) REPORTS

9	`Third-order Kinematic Compatibility Conditions for a Vector Field on an Embedded Surface', Dept of Applied Mathematics, University of Manitoba (1994-09-1), Sept. 1994.
8	`A guided clothoid spline', D.S. Meek and R.S.D. Thomas, Dept of Computer Science, University of Victoria (DCS-124-IR), Jan. 1990.
7	`First-year Textbooks 1985-1986', Dept of Applied Mathematics, University of Manitoba, Jan. 1986.
6	`First-year Textbooks', Dept of Applied Mathematics, University of Manitoba, Feb. 1985.
5	`Note on isotopy of closed braids', Dept of Computer Science, University of Manitoba, Scientific Report #56, Sept. 1972.
4	`Wreaths', Dept of Computer Science, University of Manitoba, Scientific Report #25, May 1971.
3	`A note on partially closed braids', Dept of Computer Science, University of Manitoba, Scientific Report #18, March 1971.
2	`How to comb a braid', Dept of Computer Science, University of Manitoba, Scientific Report #3, Sept. 1970.
1	`Wreath lectures', School of Natural Sciences, University of Zambia, 1970.

Curriculum Vitae