A Project-Based Guide to Undergraduate Research in Mathematics, 1st ed. 2020
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※上記表示の販売価格は割引適用後の価格です 出版済み 3週間でお届けいたします。 Starting and Sustaining Accessible Undergraduate Research Series: Foundations for Undergraduate Research in Mathematics Author: Harris, Pamela E. / Insko, Erik / Wootton, Aaron(Editor) Publisher: Springer ISBN: 9783030378554 Cover: PAPERBACK Date: 2021年04月 DESCRIPTION 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. Table of Contents 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. TABLE OF CONTENTS 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.
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