A Primer for Undergraduate Research, 1st ed. 2017
From Groups and Tiles to Frames and Vaccines

Foundations for Undergraduate Research in Mathematics Series

Coordinators: Wootton Aaron, Peterson Valerie, Lee Christopher

Language: Anglais

Approximative price 81.22 €

In Print (Delivery period: 15 days).

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A Primer for Undergraduate Research
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313 p. · 15.5x23.5 cm · Paperback

Approximative price 81.22 €

In Print (Delivery period: 15 days).

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A Primer for Undergraduate Research
Publication date:
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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. 

Coxeter Groups and the Davis Complex (T.A. Schroeder).- A Tale of Two Symmetries: Embeddable and Non-Embeddable Group Actions on Surfaces (V. Peterson, A. Wootton).- Tile Invariants for Tackling Tiling Questions (M.P. Hitchman).- Forbidden Minors: Finding the Finite Few (T.W. Mattman).- Introduction to competitive graph coloring (C. Dunn, V. Larsen, J.F. Nordstrom).- Matrioids (E. McNicholas, N.A. Neudauer, C. Starr).- Finite Frame Theory (S. Datta, J. Oldroyd).- Mathematical decision-making with linear and convex programming (J. Kotas).- Computing weight multiplicities (P. E. Harris).- Vaccination strategies for small worlds. (W. Just, H. C. Highlander).- Steady and Stable: Numerical Investigations of Nonlinear Partial Differential Equations (R. C. Harwood).

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.

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