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E-grāmata: Project-Based Guide to Undergraduate Research in Mathematics: Starting and Sustaining Accessible Undergraduate Research

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Project-Based Guide to Undergraduate Research in Mathematics: Starting and Sustaining Accessible Undergraduate ResearchPalielināt
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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 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.

Recenzijas

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)

Folding Words Around Trees: Models Inspired by RNA
1(28)
Elizabeth Drellich
Heather C. Smith
Phylogenetic Networks
29(34)
Elizabeth Gross
Colby Long
Joseph Rusinko
Tropical Geometry
63(44)
Ralph Morrison
Chip-Firing Games and Critical Groups
107(46)
Darren Glass
Nathan Kaplan
Counting Tilings by Taking Walks in a Graph
153(24)
Steve Butler
Jason Ekstrand
Steven Osborne
Beyond Coins, Stamps, and Chicken McNuggets: An Invitation to Numerical Semigroups
177(26)
Scott Chapman
Rebecca Garcia
Christopher O'Neill
Lateral Movement in Undergraduate Research: Case Studies in Number Theory
203(32)
Stephan Ramon Garcia
Projects in (t, r) Broadcast Domination
235(28)
Pamela E. Harris
Erik Insko
Katie Johnson
Squigonometry: Trigonometry in the p-Norm
263(24)
William E. Wood
Robert D. Poodiack
Researching in Undergraduate Mathematics Education: Possible Directions for Both Undergraduate Students and Faculty
287(16)
Milos Savic
Undergraduate Research in Mathematical Epidemiology
303
Selenne Banuelos
Mathew Bush
Marco V. Martinez
Alicia Prieto-Langarica
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.
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