A Primer for Undergraduate Research: From Groups and Tiles to Frames and Vaccines: Foundations for Undergraduate Research in Mathematics
Editat de Aaron Wootton, Valerie Peterson, Christopher Leeen Limba Engleză Hardback – 13 feb 2018
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.
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Specificații
ISBN-13: 9783319660646
ISBN-10: 3319660640
Pagini: 192
Ilustrații: VII, 313 p. 92 illus., 19 illus. in color.
Dimensiuni: 155 x 235 x 24 mm
Greutate: 0.78 kg
Ediția:1st ed. 2017
Editura: Springer International Publishing
Colecția Birkhäuser
Seria Foundations for Undergraduate Research in Mathematics
Locul publicării:Cham, Switzerland
ISBN-10: 3319660640
Pagini: 192
Ilustrații: VII, 313 p. 92 illus., 19 illus. in color.
Dimensiuni: 155 x 235 x 24 mm
Greutate: 0.78 kg
Ediția:1st ed. 2017
Editura: Springer International Publishing
Colecția Birkhäuser
Seria Foundations for Undergraduate Research in Mathematics
Locul publicării:Cham, Switzerland
Cuprins
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).
Recenzii
“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)
Notă biografică
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.
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.
Textul de pe ultima copertă
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.
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.
Caracteristici
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