Project-Based Guide to Undergraduate Research in Mathematics

Starting and Sustaining Accessible Undergraduate Research

Inbunden, Engelska, 2020

Av Pamela E. Harris, Erik Insko, Aaron Wootton

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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 EducationThis 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.

Produktinformation

Utgivningsdatum2020-04-18
Mått155 x 235 x undefined mm
FormatInbunden
SpråkEngelska
SerieFoundations for Undergraduate Research in Mathematics
Antal sidor324
FörlagSpringer Nature Switzerland AG
ISBN9783030378523

Tillhör följande kategorier

Folding Words Around Trees: Models Inspired by RNA.- Phylogenic 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: Trigonomtry in the p-norm.- Researching in Undergraduate Mathematics Education.- Possible Directions for Both Undergraduate Students and Faculty.- Undergraduate Research in Mathematical Epidemiology.

“The book at hand provides readers with workable, tangible, and sustainable examples of topics and areas for undergraduate mathematics students in the areas of combinatorics, number theory, graph theory, analysis, mathematics education, and applied mathematics (mathematical biology). … This reviewer highly recommends high-impact practices: mentored undergraduate research, capstone projects, and collaborative work. In this volume, mathematics instructors and undergraduates will find deep possibilities for summer projects, senior theses, and capstone seminars.” (Jennifer R. Bowen, The UMAP Journal, Vol. 44 (1), 2023)