© 2020

A Project-Based Guide to Undergraduate Research in Mathematics

Starting and Sustaining Accessible Undergraduate Research

  • Pamela E. Harris
  • Erik Insko
  • Aaron Wootton
  • Provides students with all the tools and information they will need to pursue undergraduate research within concise and accessible chapters

  • Guides faculty through creating sustainable research programs by offering helpful hints and tips

  • Contains a unique chapter on pursuing research in mathematics education


Table of contents

  1. Front Matter
    Pages i-xi
  2. Elizabeth Drellich, Heather C. Smith
    Pages 1-28
  3. Elizabeth Gross, Colby Long, Joseph Rusinko
    Pages 29-61
  4. Ralph Morrison
    Pages 63-105
  5. Darren Glass, Nathan Kaplan
    Pages 107-152
  6. Steve Butler, Jason Ekstrand, Steven Osborne
    Pages 153-176
  7. Scott Chapman, Rebecca Garcia, Christopher O’Neill
    Pages 177-202
  8. Pamela E. Harris, Erik Insko, Katie Johnson
    Pages 235-262
  9. William E. Wood, Robert D. Poodiack
    Pages 263-286
  10. Selenne Bañuelos, Mathew Bush, Marco V. Martinez, Alicia Prieto-Langarica
    Pages 303-324

About this book


Unsure of where to begin on mathematical research? 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.


Undergraduate research in mathematics Phylogenetic networks Tropical Geometry Numerical Semigroups Squigonometry Mathematical Epidemiology Tilings combinatorics

Editors and affiliations

  • Pamela E. Harris
    • 1
  • Erik Insko
    • 2
  • Aaron Wootton
    • 3
  1. 1.MathematicsWilliams CollegeWilliamstownUSA
  2. 2.MathematicsFlorida Gulf Coast UniversityFort MyersUSA
  3. 3.MathematicsUniversity of PortlandPortlandUSA

About the editors

Pamela E. Harris is an Assistant Professor of Mathematics at Williams College in Williamstown, Massachusetts.

Erik Insko is an Associate Professor of Mathematics at Florida Gulf Coast University in Fort Myers, Florida.

Aaron Wootton is a Professor of Mathematics at the University of Portland in Portland, Oregon.

Bibliographic information

  • Book Title A Project-Based Guide to Undergraduate Research in Mathematics
  • Book Subtitle Starting and Sustaining Accessible Undergraduate Research
  • Editors Pamela E. Harris
    Erik Insko
    Aaron Wootton
  • Series Title Foundations for Undergraduate Research in Mathematics
  • Series Abbreviated Title Foundations for Undergraduate Research in Mathematics
  • DOI
  • Copyright Information Springer Nature Switzerland AG 2020
  • Publisher Name Birkhäuser, Cham
  • eBook Packages Mathematics and Statistics Mathematics and Statistics (R0)
  • Hardcover ISBN 978-3-030-37852-3
  • Softcover ISBN 978-3-030-37855-4
  • eBook ISBN 978-3-030-37853-0
  • Series ISSN 2520-1212
  • Series E-ISSN 2520-1220
  • Edition Number 1
  • Number of Pages XI, 324
  • Number of Illustrations 61 b/w illustrations, 81 illustrations in colour
  • Topics Combinatorics
  • Buy this book on publisher's site