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Mathematics Research for the Beginning Student, Volume 1
ISBN-13:
9783031085604
Veröffentl:
2022
Seiten:
318
Autor:
Eli E. Goldwyn
Serie:
Foundations for Undergraduate Research in Mathematics
eBook Typ:
PDF
eBook Format:
EPUB
Kopierschutz:
1 - PDF Watermark
Sprache:
Englisch
Beschreibung:
Mathematics research opportunities for undergraduate students have grown significantly in recent years, but accessible research topics for first- and second-year students with minimal experience beyond high school mathematics are still hard to find. To address this need, this volume provides beginning students with specific research projects and the tools required to tackle them. Most of these projects are accessible to students who have not yet taken Calculus, but students who know some Calculus will find plenty to do here as well. Chapters are self-contained, presenting projects students can pursue, along with essential background material and suggestions for further reading. Suggested prerequisites are noted at the beginning of each chapter. Some topics covered include:
Games on Graphs.- Mathematics for Sustainable Humanity--Population, Climate, Energy, Economy, Policy, and Social Justice.- Mosaics and Virtual Knots.- Graph Labelings: A Prime Area to Explore.- Acrobatics in a Parametric Arena.- But Who Should Have Won? Simulating Outcomes of Judging Protocols and Ranking Systems.- Modeling of biological systems: from algebra to calculus and computer simulations.- Population Dynamics of Infectious Diseases.- Playing with Knots.
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