Foundations for Undergraduate Research in Mathematics

A Primer for Undergraduate Research

From Groups and Tiles to Frames and Vaccines

Editors: Wootton, Aaron, Peterson, Valerie, Lee, Christopher (Eds.)

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  • A pioneering text providing state-of-the-art resources for faculty looking to mentor in undergraduate research and students looking to participate
  • Contains a wide range of topics, not normally addressed by the undergraduate curriculum, appropriate for student-faculty exploration that are from pure and applied math
  • A completely self-contained and accessible text with pre-requisites, specific open problems, directions for new research and a carefully selected bibliography included in every chapter
  • Equips readers to tackle the many challenges of starting undergraduate research
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eBook $74.99
price for USA in USD
  • ISBN 978-3-319-66065-3
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $99.00
price for USA in USD
Softcover $99.00
price for USA in USD
About this book

This highly readable book aims to ease the many challenges of starting undergraduate research. It accomplishes this by presenting a diverse series of self-contained, accessible articles which include specific open problems and prepare the reader to tackle them with ample background material and references. Each article also contains a carefully selected bibliography for further reading.

The content spans the breadth of mathematics, including many topics that are not normally addressed by the undergraduate curriculum (such as matroid theory, mathematical biology, and operations research), yet have few enough prerequisites that the interested student can start exploring them under the guidance of a faculty member. Whether trying to start an undergraduate thesis, embarking on a summer REU, or preparing for graduate school, this book is appropriate for a variety of students and the faculty who guide them. 

About the authors

Aaron Wootton, Valerie Peterson and Christopher Lee are all current professors in the Mathematics department of the University of Portland.

Professor Wootton's research interests include Complex Algebraic Geometry: Defining equations for Riemann Surfaces, Quasiplatonic Surfaces and Dessins D'Enfants, Automorphism Groups of Compact Riemann Surfaces; Group Theory: Finite Groups (Group Actions and Structure Theory), Finitely Presented Groups; Geometric Group Theory: Discrete Groups (Fuchsian Groups and Fundamental Groups), Mapping Class Groups of Compact Connected Surfaces.

Professor Peterson's research interests include algebraic topology, metric and combinatorial geometry, geometric group theory, and the teaching and learning of mathematics.

Professor Lee's research interests include equivariant differential topology and geometry. In particular: Hamiltonian Lie group actions on (folded) symplectic and contact manifolds, symmetry in completely integrable systems, applications of (combinatorial and smooth) Morse theory, and singularities of differentiable mappings.

Reviews

“This book is a superb resource for students and faculty mentors embarking on undergraduate research in mathematics. Its focus is on topics and applications rarely covered in the traditional undergraduate math curriculum, offering novice researchers a sturdy jumping-off point to a broad array of research problems. … A valuable resource for students and faculty mentors interested in undergraduate research.” (V. K. Chellamuthu, Choice, Vol. 56 (2), October, 2018)

Table of contents (11 chapters)

Table of contents (11 chapters)
  • Coxeter Groups and the Davis Complex

    Pages 1-33

    Schroeder, Timothy A.

  • A Tale of Two Symmetries: Embeddable and Non-embeddable Group Actions on Surfaces

    Pages 35-59

    Peterson, Valerie (et al.)

  • Tile Invariants for Tackling Tiling Questions

    Pages 61-84

    Hitchman, Michael P.

  • Forbidden Minors: Finding the Finite Few

    Pages 85-97

    Mattman, Thomas W.

  • Introduction to Competitive Graph Coloring

    Pages 99-126

    Dunn, C. (et al.)

Buy this book

eBook $74.99
price for USA in USD
  • ISBN 978-3-319-66065-3
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $99.00
price for USA in USD
Softcover $99.00
price for USA in USD
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Bibliographic Information

Bibliographic Information
Book Title
A Primer for Undergraduate Research
Book Subtitle
From Groups and Tiles to Frames and Vaccines
Editors
  • Aaron Wootton
  • Valerie Peterson
  • Christopher Lee
Series Title
Foundations for Undergraduate Research in Mathematics
Copyright
2017
Publisher
Birkhäuser Basel
Copyright Holder
Springer International Publishing AG
eBook ISBN
978-3-319-66065-3
DOI
10.1007/978-3-319-66065-3
Hardcover ISBN
978-3-319-66064-6
Softcover ISBN
978-3-319-88168-3
Series ISSN
2520-1212
Edition Number
1
Number of Pages
VII, 313
Number of Illustrations
73 b/w illustrations, 19 illustrations in colour
Topics