Scholarship

Much of my scholarship has been conducted with my colleague, Jim Braselton. We've worked on many projects together. Below is a sample. Two of our first books together were Mathematica By Example and Differential Equations with Mathematica.

Other Papers and Books:

Martha L. Abell and James P. Braselton, Introductory Differential Equations, Fifth Edition, Academic Press, 2018.

Martha L. Abell and James P. Braselton, Mathematica By Example, Fifth Edition, Academic Press, 2017.

Martha L. Abell and James P. Braselton, Differential Equations with Mathematica, Fourth Edition, Academic Press, 2016.

Martha L. Abell and James P. Braselton, Introductory Differential Equations, Fourth Edition, Academic Press, 2014.

Martha L. Abell and James P. Braselton, “Comparing the Effects of Interactive and Nointeractive Complementary Nutrients on Growth in a Chemostat”, (2013) Open Journal of Applied Sciences 3: 232-331.

Martha L. Abell, James P. Braselton, and Lorraine M. Braselton, “Rock-Paper-Scissors in the Chemostat”, (2013) J Comput Sci Syst Biol 6: 118-131.

Martha L. Abell and James P. Braselton, Introductory Differential Equations with Boundary Value Problems, Third Edition, Academic Press, 2010.

Martha L. Abell and James P. Braselton, Mathematica By Example, Fourth Edition, Academic Press, 2009.

Martha L. Abell, James P. Braselton, and Lorraine M. Braselton, “Effects of genetic immunity and resistance on endemics,” Applied Mathematics and Computations 197 (2008), 733-744.

Martha L. Abell, James P. Braselton and Lorraine Braselton, “The effects of immunity and resistance on the development of AIDS”, Journal of Mathematical Analysis and Applications, Volume 333, Issue 1, pp 8-23, 2007

Martha L. Abell, James P. Braselton and Lorraine Braselton, "Competition in the chemostat: A comparison of inhibitory and lethal offensive strategies," Mathematics and Computers in Simulation 72 (2006), 10-25.

Martha L. Abell, James P. Braselton and Lorraine Braselton, “A Host-Microparasite Model with a Resistant Host”, Journal of Ecological Complexity, Volume 2, Issue 3, pp 300-311, 2005

Martha L. Abell and James P. Braselton, Differential Equations with Mathematica, Third Edition, Academic Press, 2004.

Martha L. Abell and James P. Braselton, Mathematica By Example, Third Edition, Academic Press, 2004.

Martha L. Abell, James P. Braselton, and John Rafter, Statistics with Mathematica, Second Edition, Academic Press, 2005.

Jack Yu, James Braselton, Martha Abell, Ronald Wright and Matthew Williamson, “A fractal analysis of human cranial sutures,” The Cleft Palate-Craniofacial Journal, Vol. 40, No. 1, pp. 409-415, 2003.

James P. Braselton, Martha L. Abell, and Lorraine Braselton, “When is a surface not orientable?, International Journal of Mathematical Education in Science and Technology , Vol. 33, No. 4, pp. 529-541, 2002.

Martha L. Abell, James P. Braselton, and John Rafter, Statistics with Maple V, Academic Press, 2002.

Jack Yu, James P. Braselton, Martha L. Abell, and James Borke, “The Identification of Calcium Oscillators in Immature Rat Cranial Sutures”, Proceedings of the 9^th Conference of the International Society of Craniofacial Surgeons, 2001.

John Rafter, Martha L. Abell, and James P. Braselton, “Multiple Comparison Tests for Means”, SIAM Review, Volume 44, Number 2, pp. 259-278, 2002.

Martha L. Abell and James P. Braselton, Modern Differential Equations, Second Edition, Harcourt College Publishing, August, 2000.

Braselton, Lorraine, Abell, Martha L. and Braselton, James P., Modern Differential Equations: Instructor's Resource Manual, Second Edition, Harcourt College Publishers, Philadelphia, 2000.

Braselton, Lorraine, Abell, Martha L. and Braselton, James P., Modern Differential Equations: Student's Resource Manual, Second Edition, Harcourt College Publishers, Philadelphia, 2000.

James P. Braselton and Martha L. Abell, “Schryer-Walker Quasi-Exact Solutions to the Landau-Lifshitz-Gilbert Equations”, Applied Mathematics and Computation Volume 124, Issue 2, 2001, pp. 151-167.

James P. Braselton, Martha L. Abell, and Lorraine Braselton, "Generalized Walker solutions to the Landau-Lifshitz-Gilbert equations", International Journal of Non-Linear Mechanics, Volume 36, 2001.

Martha L. Abell and James P. Braselton, Differential Equations with Maple V, Second Edition, Academic Press, October, 1999.

Martha L. Abell, James P. Braselton, John Rafter, and Pat Humphrey, "Randomly Walking Through Wall Street", Mathematics and Computers in Simulation (49) 4-5 (1999) pp. 297-316.

Martha L. Abell and James P. Braselton Maple V By Example, Second Edition, Academic Press, October, 1998.

Martha L. Abell, James P. Braselton, and John Rafter Statistics with Mathematica, Academic Press, October, 1998.

Martha L. Abell and James P. Braselton, Mathematica By Example, Second edition, Academic Press, February, 1997.

Martha L. Abell and James P. Braselton, Differential Equations with Mathematica, Second edition, Academic Press, February, 1997.

Abell, Martha L. and Braselton, James P., "Advancing the Study of Differential Equations with Technology", Mathematics and Computers in Simulation, 1996, Volume 42, pp. 493-508.

Martha L. Abell and James P. Braselton, Modern Differential Equations: Theory, Applications, Technology; Saunders Publishing, September, 1995.

Martha L. Abell and James P. Braselton, Modern Differential Equations: Theory, Applications, Technology; Instructor Resource Manual, Saunders Publishing, September, 1995.

Martha L. Abell and James P. Braselton, Modern Differential Equations: Theory, Applications, Technology; Student Resource Manual, Saunders Publishing, September, 1995.

Martha L. Abell and James P. Braselton, "Modern Differential Equations", In General Terms-A Newsletter for Innovation and Excellence in College Mathematics Education, Issue No. 4, Saunders Publishing, Fall, 1995

Martha L. Abell and James P. Braselton, Differential Equations with Maple V, Academic Press Professional, August, 1994.

Martha L. Abell and James P. Braselton, The Maple V Handbook, Academic Press Professional, July, 1994.

Martha L. Abell and James P. Braselton, Maple V By Example, Academic Press Professional, May, 1994.

Martha L. Abell and James P. Braselton, Mathematica By Example, Revised edition, Academic Press Professional, January, 1994.

Martha L. Abell, James P. Braselton, and John W. Davenport, "Topics in Applied Mathematics with Mathematica", Proceedings of the Fifth Annual International Conference on Technology in Collegiate Mathematics, November 1993.

Martha L. Abell and James P. Braselton, "Advancing the Study of Differential Equations with Technology", in Proceedings of the International IMACS Symposium on Symbolic Computation: New Trends and Developments, June 1993.

Martha L. Abell and James P. Braselton, Differential Equations with Mathematica, Academic Press, January, 1993.Martha L. Abell and James P. Braselton, The Mathematica Handbook, Academic Press, May, 1992.

Martha L. Abell and W. F. Ames, "Symmetry Reduction of Reynolds Equation and Applications to Film Lubrication", Jl. of Applied Mechanics, Vol. 59, No. 1, March, 1992.

Martha L. Abell and James P. Braselton, Mathematica By Example, Academic Press, January, 1992.

Martha L. Abell and James P. Braselton, "Giving Meaning to the Circular Membrane Problem with Mathematica" , Mathematica in Education Journal, Volume 1, Number 3.

Martha L. Abell and W. F. Ames, "Semi-Symmetry Reduction of Partial Differential Equations", in Proceedings of the International IMACS Conference, July, 1991.

Martha L. Abell and James P. Braselton, "Mathematica: Beyond Calculus", Proceedings of the University System Computer Network Conference, October, 1991.

Martha L. Abell and W. F. Ames, "Symmetry Reduction of Reynolds Equation", SECTAM XV Conference Proceedings, March, 1990.

Martha L. Abell, J. E. Peters and W. F. Ames, "Symmetry and Semi-Symmetry Reduction in Wave Propagation and Lubrication ", Proceedings of the Annual Seminar of the Canadian Math. Society on Lie Theory, Differential Equations and Representation Theory, August, 1989.

Martha L. Abell, Symmetry Reduction of Reynolds Equation and Applications to Film Lubrication, Ph. D. Thesis, Georgia Institute of Technology, June, 1989.