Daina Taimina - publications
1. (with other authors) Problems from entrance exams in university with solutions
(Latvian), Riga: University Press, 1978, 72 p.
2. Mathematics in antiquity (Latvian), Riga: University Press, 1981, 99 p.
3.(with 2 co-authors) “Calculations of neutron spectrum with speed of reactions”
(Russian), Proceedings of Latvian Academy of Sciences, No.5, 1981, p.9-19.
4. Mathematics in Middle Ages (Latvian), Riga: University Press, 1985, 79 p.
5. Mathematics in Renaissance Europe (Latvian), Riga: University Press, 1985, 42 p.
6-9.Four books on Computer programming for schools written in Russian and translated
into 2 other languages and later combined together into:
(with R.Freivalds, and E.B.Kinber) Fundamentals of Computers. (Russian), 1986, Kiev:
Radianska Skola Press, 300 p.
10.“Recognizing ω-languages with special automata”, Theory of Algorithms and
Programs (Russian), Riga: University Press, 1986, p.40-45.
11. “Evaluation of the Number of Positions for the Finite Automata Recognizing Equality
of ω-words”, Theory of Algorithms and Programs (Russian), Riga: University Press,
1986, p.46-49.
12. (with R.Freivalds) “On a Complexity of Probabilistic Automata Recognizing metalanguages”, Logical Methods of Building Effective Algorithms (Russian), Kalinin, 1986,
p.92-96.
13. “Boundary Calculations on Probabilistic Turing Machines”, Probabilistic Automata
and Their Applications (Russian), Tbilisi: Meceneriba, 1986, p.43.
14. “Complexity Gaps in Calculations of ω-words on Turing Machines”, Proceedings of
FCT-87 (Russian), Kazan, 1987, p.24.
15. “Complexity Gaps of Turing Machines on infinite words”, Lecture Notes in
Computer Science. Vol 278, 1987, p.436-439.
16. “On Recognizing infinite words with Turing machines and automata”, Theory of
Programming (Russian), Riga: University Press, 1988, p. 123-125.
17. History of Mathematics: Textbook for University Students (Latvian), Riga: Zvaigzne,
1990, 199 p.
18. (with A. Andzans) "On teaching algorithmic methods to middle and high school
students", Proceedings of ICM-94, Zurich, Switzerland, 1994.
19. (with A. Andzans) "Teaching geometry in Latvia: Past, Present, Future", Proceedings
of ICMI-95, Catania (Italy), 1995.
20. Mathematics: Fun Problem mix for Elementary and Middle Grades Students
(Latvian), Riga: Macibu Gramata, 1995, 47 p.
21. (with Dainis Geidmanis, Janis Kaneps, Kalvis Apsitis, Elene Calude) "Tally
languages accepted by alternating multitape finite automata", Lecture Notes in Computer
Science, Springer-Verlag, vol. 1276, 1997, pp. 422-430. (Proc. Third Annual
International Conference "Computing and Combinatorics", Shanghai, China, August 2022, 1997, Tao Jiang and D.T. Lee (Eds.))
22. "The role of history in teaching mathematics to Latvian and USA liberal art students”,
From Misconceptions to Constructed Understanding: Proceedings of Fourth
International Seminar, 1997, Cornell University, Ithaca, NY.
23. "History of mathematics in Latvia", British Society for the History of Mathematics
Newsletter, 35, autumn 1997, pp. 44-47.
24. "What mathematics are we teaching?", Proceedings of International Conference on
Teaching Mathematics: Retrospective and Perspective, Siaulai, Lithuania, May 21-22,
1998.
25. "What mathematics are we teaching?", NORMA-98, Nordic Mathematics Education
Conference Proceedings, Kristiansand, Norway, 1998.
26. (with D. W. Henderson) "Experiencing Geometry", NORMA-98, Nordic Mathematics
Education Conference Proceedings, Kristiansand, Norway, 1998.
27. "Thinking about teaching mathematics" (Latvian) in Skolotâjs (teachers journal), 3/98
, Riga, pp.40-44.
28. "L.E.J. Brouwer", Biographical Encyclopedia of Mathematicians, ed. Donald R.
Franceschetti, New York City: Marshall Cavendish Corp., pp.84-85.
29. (with B. Judrupa and O. Judrups) "Teaching and learning mathematics in the
University of Latvia", Changing Education in a Changing Society. ATEE (Association
for Teacher Education in Europe), Spring 1999, Klaipeda University. Lithuania, 1999,
p.p. 162-164.
30. (with D. W. Henderson) Differential Geometry: A Geometric Introduction, Prentice
Hall, 1998.
31. (with D. W. Henderson) Experiencing Geometry in Euclidean, Spherical and
Hyperbolic Spaces (2nd revised and expanded edition) Prentice Hall, 2001.
32. (with Lucia Grugnetti, Leo Rogers and others) "Philosophical, multicultural and
interdisciplinary issues", Chapter 2 in History in Mathematics Education: the ICMI
Study, (eds. John Fauvel, Jan van Maanen), Kluwer Academic Publishers, 2000, pp. 3962.
33. (with D. W. Henderson) "Crocheting the Hyperbolic Plane", Mathematical
Intelligencer, vol.23, No. 2, 2001, pp. 17-28.
34. "Essays in Mathematics?" (Latvian), Skolotajs ( Teacher journal), 4(28), 2001, Riga,
p.27-31.
35. (with D. W. Henderson) "Non-Euclidean Geometries", invited signed article for
Encyclopedia Britannica. Accepted 2001, published 2004.
36. (with D. W. Henderson) "Geometry" invited signed article for The Hutchinson
Encyclopedia of Mathematics, accepted Dec 2001, in press.
37. “Does Thinking Mathematically Always Mean Thinking Creatively” (Latvian),
Skolotajs (Teacher journal)), 5(41), 2003, Riga, p.10-14.
38. History of Mathematics (Latvian), e-Course at the University of Latvia. Published online November 2003.
39. “History of Mathematics in Digital Kinematic Mechanism Collection”,
Mediterranean Journal for Research in Mathematics Education, vol.3, 1-2, p.89-102,
2004.
40. (with D. W. Henderson) "How to Use History to Clarify Common Confusions in
Geometry", Chapter 6 in From Calculus to Computers: Using Recent History in the
Teaching of Mathematics. MAA Notes volume No.68, 2005, p.57-73.
41. (with D. W. Henderson) "Experiencing Meanings in Geometry", Mathematics and the
Aesthetic, eds. Nathalie Sinclair, David Pimm, William Higginson, CMS Books in
Mathematics, Springer, 2006, chapter 3, pp.58-83.
42. (with D. W. Henderson) Experiencing Geometry: Euclidean and Non-Euclidean with
History, 3rd Edition. Prentice-Hall. 2005.
43. (with R. Freivalds and others) “ Boolean Functions with a Low Polynomial Degree
and Quantum Query Algorithms”, Lecture Notes in Computer Science, vol.3381, 2005, p.
408-.
44. “Historical Mechanisms for Drawing Curves”, Hands On History, ed. Amy ShellGellasch, MAA Notes vol.72, 2007, pp.89-104.
45. "From Geometry to Art", Hyperseeing, March, 2007, on-line journal www.isama.org.
46. "The Rhythm of Geometry", in Findings on Ice, Pars Foundation, Lars Muller
Publications, 2007, p.129.
47. Crocheting Adventures with Hyperbolic Planes, AK Peters, 2009.
48. “Concrete models and dynamic instruments as early technology tools in classrooms at
the dawn of ICMI: from Felix Klein to present applications in mathematics classrooms in
different parts of the world” (with Maria G. Bartolini-Bussi and Masami Isoda), ZDM
The International Journal on Mathematics Education, vol. 42, No.1, February 2010, pp.
19-31.