Publications by faculty

Recent Faculty Publications (2006 - Present)

The following are the recent publications (articles, posters and books) of the math department faculty. An extended history of faculty publications can be found at the History of Mathematics at GVSU site.

The list is organized reverse in chronological order, with the recent papers at the top of the list. Department faculty and students are indicated in bold letters, while a student author (GVSU or not) is marked with an asterisk. For a complete list of recent student publications, posters and presentations, please check out the student accomplishments page.

Publications

2008

Will Dickinson and Megan Kerr, "The Geometry of Compact Homogeneous Spaces with Two Isotrophy Summands", Annals of Global Analysis and Geometry, (preprint available on the journal website).

Hélène Barcelo and Shelly Smith, "The discrete fundamental group of the order complex of B_n", Journal of Algebraic Combinatorics 27 (2008), no.4, pp. 399-421.

David Austin, "Random Numbers: Nothing Left to Chance", Online Feature Column from the American Mathematical Society, March 2008.

C. E. Beckmann, D. R. Thompson, Austin, R.A., "Exploring Proportional Reasoning through Movies and Literature", Getting into the Mathematics Conversation: Valuing Communication in Mathematics Classrooms, P.C. Elliot and C.M.E. Garnett (Eds.), Reston, VA: National Council of Teachers of Mathematics, 2008, pp. 278-286.

Carter C. Gay, Akalu Tefera, and Aklilu Zeleke, "The Naïve Product Rule for Derivatives", The College Mathematics Journal 39 (2008), no.2.

Esther Billings, "Exploring Generalizations through Growth Patterns", Algebra and Algebraic Thinking – The 70th Yearbook of the National Council of Teachers of Mathematics, (2008).

Matthew Boelkins, Justin From, Samuel Kolins, "Polynomial root squeezing", Mathematics Magazine 81 (2008), no.1, pp. 39-44.

William Dickinson and Mohammad Salmassi, "The right right triangle on the sphere", College Mathematics Journal 39 (2008), no.1, pp. 24-33.

2007

Feryal Alayont, "Meromorphic continuation of spherical cuspidal data Eisenstein series", Canadian Journal of Mathematics 59 (2007), no.6, pp. 1121-1134.

David Austin, "Pulling Digits out of Pi", Online Feature Column from the American Mathematical Society, December 2007.

Nancy K. Mack, "Gaining insights into children's geometric knowledge", Teaching Children Mathematics 14 (2007), no.4, pp. 238-245.

David Austin, "Image Compression: Seeing What's Not There", Online Feature Column from the American Mathematical Society, September 2007.

Jessica A. Roy, C. E. Beckmann, "Mathematical Explorations: Batty functions: Exploring quadratic functions through children’s literature", Mathematics Teaching in the Middle School, 13 (2007), no.1, pp. 52–64.

David Austin, "That Knotty DNA", Online Feature Column from the American Mathematical Society, March 2007.

Matthew Boelkins and Matthew Wells, "On the Ratio Vectors of Chebyshev and Equispaced Polynomials", Missouri Journal of Mathematical Sciences Articles 19 (2007), no.1, pp. 15-28.

Paul E. Fishback, "Taylor Series are Limits of Legendre Expansions", Missouri Journal of Mathematical Sciences Articles 19 (2007), no.1, pp. 29-34.

Ted Sundstrom, Mathematical Reasoning Writing and Proof, Second Edition, Upper Saddle River, NJ, Pearson Education Inc., 2007.

2006

David Austin, "How Google Finds Your Needle in the Web's Haystack", Online Feature Column from the American Mathematical Society, December 2006.

Richard A. Austin, Denisse R. Thompson, Charlene E. Beckmann, "Locusts for lunch: Connecting mathematics, science, and literature", Mathematics Teaching in the Middle School (2006), no.4 , pp.182-189.

Paul Yu, Stephen Blair, Will Dickinson, "Discourse, Metaphor, and Multi-representational Instruction in the Teaching and Learning of Non-euclidean Geometry", Proceedings of the Twenty Eighth Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education, Vol. 2-229, Mérida, Mexico: Universidad Pedagógica Nacional, 2006.

Matthew R. Boelkins, Matthew J. Wells, "A Note on PIPCIRs", The Pi Mu Epsilon Journal 12 (2006), no.5, pp. 257-263.

Jonathan K. Hodge, "Permutations of Separable Preference Orders", Discrete Applied Mathematics 154 (2006), no.10, pp. 1478-1499.

Jonathan K. Hodge, "The Top Ten Things I Have Learned about Discovery-Based Teaching", PRIMUS 16 (2006), no.2, pp. 154-161.

Char Beckmann, Esther Billings, Filiz Dogru, "Enhancing the teaching of undergraduate geometry using K-12 resources", Proceedings of the 3rd International Conference on the Teaching of Mathematics at the Undergraduate Level, 3rd International Conference on the Teaching of Mathematics at the Undergraduate Level, Douglas Quinney (ed.) John Wiley and Sons Inc, Istanbul, Turkey, (2006).

Matthew Boelkins, Jennifer Miller, Benjamin Vugteveen, "From Chebyshev to Bernstein: a tour of polynomials small and large", College Mathematics Journal 37 (2006), no.2, pp. 194-204.

David Austin, "When Kissing Involves Trigonometry", Online Feature Column from the American Mathematical Society, March 2006.

Edward Aboufadel, David Austin , "A New Method for Computing the Mean Center of Population of the United States", The Professional Geographer 58 (2006), no.1, pp. 65-69.

George Grossman, Akalu Tefera, Aklilu Zeleke, "Summation identities for representation of certain real numbers", International Journal of Mathematics and Mathematical Sciences (2006), Art. ID 78739, 8pp.

Rebecca Walker, "Student Voices and the Transition from Reform High School Mathematics to College Mathematics", pp. 193-209, A Fresh Start for Collegiate Mathematics: Rethinking the Courses below Calculus, Washington, DC: Mathematical Association of America, 2006.