Mathematics

Faculty Scholarship

Books

• Calculus Set Free: Infinitesimals to the Rescue. Bryan Dawson. Oxford University Press (February 2022). Book Website | Buy at Amazon.com or Google Products | Find in Google Scholar or Nearby Library
  
  
• Supplemental Mathematics for the Curious: Number Theory. Bryan Dawson. Royal Fireworks (January 2009). Buy at Amazon.com or Google Products | Find in Google Scholar or Nearby Library
  
  
• Supplemental Mathematics for the Curious: Number Systems. Bryan Dawson. Royal Fireworks (January 2009). Buy at Amazon.com or Google Products | Find in Google Scholar or Nearby Library
  
  
• From Calculus to Computers: Using the Last 200 Years of Mathematics History in the Classroom. Edited by Amy Shell-Gellasch & Dick Jardine. The Mathematical Association of America (October 2005). Union Contributor(s): Matt Lunsford (Chapter 3: Using Galois' Ideas in the Teaching of Abstract Algebra). Buy at Amazon.com or Google Products | Find in Google Scholar or Nearby Library
  
  

Peer-Reviewed Journal Articles

• "Hyperreal differentiation with an idempotent ultrafilter," Journal of Logic & Analysis. (December 2024) by Bryan Dawson (with Samuel Allen Alexander)
• "Dream, a Train, and Three Binary Sequences," Math Horizons. (February 2022) by Bryan Dawson
• "The Lake Wobegon Paradox," The Mathematical Intelligencer. (December 2020) by Bryan Dawson

Non-Peer Reviewed Journal Articles

• "Mathematics & Faith: A Path for Integration," Journal of the Union Faculty Forum. (December 2023) by Matt Lunsford
• "A Christian Mathematician's Apology," Journal of the Union Faculty Forum. (January 2021) by Matt Lunsford

Presentations

• "Calculus with Infinitesimals: Simplifying Computations and Improving Understanding Using the Approximation Relation" at Joint Mathematics Meetings (Indigenous Voices in Mathematics session) in Seattle, WA (January 2025) by Bryan Dawson
• "Teaching Calculus using Infinitesimals" at Preconference Workshop (Association of Christians in the Mathematical Sciences) in Sioux Center, IA (May 2024) by Bryan Dawson
• "Approximating the Master: Reconciling Euler's Power Rule Proof with Modern Infinitesimal Analysis" at 24th Biennial Conference of the Association of Christians in the Mathematical Sciences in Sioux Center, IA (May 2024) by Bryan Dawson
• "Solvability by Irreducible Radicals over Finite Fields" at Southeastern Sectional Meeting of the MAA in Knoxville, TN (March 2024) by Matt Lunsford
• "JMM Workshop on Exploring the Teaching of Calculus Using Infinitesimals: Hands-on Practice in Issues Related to Curriculum Design" at Joint Mathematics Meetings in Boston, MA (January 2023) by Bryan Dawson
• "A Widely Applicable Nonstandard Test for Series Convergence" at PRIMA Congress 2022, Indigenous Mathematical Scientists special session in Vancouver, BC, Canada (December 2022) by Bryan Dawson
• "A Tale of Four Integrals" at Colloquium at the University of North Alabama in Florence, AL (October 2022) by Bryan Dawson
• "A Tale of Four Integrals" at Colloquium at Christian Brothers University in Memphis, TN (October 2022) by Bryan Dawson
• "A Tale of Four Integrals" at Colloquium at Murray State University in Murray, KY (October 2022) by Bryan Dawson
• "Exploring the Teaching of Calculus Using Infinitesimals: Hands-on Practice in Issues Related to Curriculum Design" at Colloquium at the University of Memphis in Memphis, TN (September 2022) by Bryan Dawson
• "A Tale of Two Mentors: G. H. Hardy and C. S. Lewis" at Association of Christians in the Mathematical Sciences in Azusa, CA (June 2022) by Matt Lunsford
• "The Nearly Universal, Easy-to-use Level Comparison Test for Series" at 23rd Biennial Conference of the Association of Christians in the Mathematical Sciences in Azusa, CA (June 2022) by Bryan Dawson
• "Big-oh Notations, Elections, and Hyperreal Numbers" at 23rd Biennial Conference of the Association of Christians in the Mathematical Sciences in Azusa, CA (June 2022) by Bryan Dawson (with Samuel Allen Alexander)
• "The Nearly Universal, Easy-to-Use Level Comparison Test for Series" at Mathematical Association of America Southeaster Section Centennial Section Meeting in Mount Berry, GA (March 2022) by Bryan Dawson
• "The Hyperreal Numbers" at KME 43rd Biennial National Convention (April 2021) by Bryan Dawson