Harris P., Insko E., Wootton A. (Eds.) A Project-Based Guide to Undergraduate Research in Mathematics: Starting and Sustaining Accessible Undergraduate Research

Springer, 2020. — 334 p. — (Foundations for Undergraduate Research in Mathematics). — ISBN: 978-3-030-37852-3.This volume provides accessible and self-contained research problems designed for undergraduate student projects, and simultaneously promotes the development of sustainable undergraduate research programs. The chapters in this work span a variety of topical areas of pure and applied mathematics and mathematics education. Each chapter gives a self-contained introduction on a research topic with an emphasis on the specific tools and knowledge needed to create and maintain fruitful research programs for undergraduates. Some of the topics discussed include:
-Disease modeling
-Tropical curves and surfaces
-Numerical semigroups
-Mathematics Education
This volume will primarily appeal to undergraduate students interested in pursuing research projects and faculty members seeking to mentor them. It may also aid students and faculty participating in independent studies and capstone projects.Folding Words Around Trees: Models Inspired by RNA
Phylogenetic Networks
Tropical Geometry
Chip-Firing Games and Critical Groups
Counting Tilings by Taking Walks in a Graph
Beyond Coins, Stamps, and Chicken McNuggets: An Invitation to Numerical Semigroups
Lateral Movement in Undergraduate Research: Case Studies in Number Theory
Projects in (t, r) Broadcast Domination
Squigonometry: Trigonometry in the p-Norm
Researching in Undergraduate Mathematics Education: Possible Directions for Both Undergraduate Students and Faculty
Undergraduate Research in Mathematical Epidemiology