A Primer for Undergraduate Research
Springer International Publishing (Verlag)
978-3-319-66064-6 (ISBN)
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.
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.
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).
"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)
“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)
| Erscheinungsdatum | 23.02.2018 |
|---|---|
| Reihe/Serie | Foundations for Undergraduate Research in Mathematics |
| Zusatzinfo | VII, 313 p. 92 illus., 19 illus. in color. |
| Verlagsort | Cham |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Gewicht | 649 g |
| Themenwelt | Mathematik / Informatik ► Mathematik |
| Schlagworte | Algebra • Algebraic Geometry • Applied mathematics • convex and discrete Geometry • Discrete Mathematics • Expository Articles • General Interest • Groups & group theory • Groups & group theory • Group Theory and Generalizations • Linear and Multilinear Algebras, Matrix Theory • Mathematics • mathematics and statistics • matrix theory • Number Theory • open problems • Physiological, Cellular and Medical Topics • Recreational Mathematics • undergraduate research |
| ISBN-10 | 3-319-66064-0 / 3319660640 |
| ISBN-13 | 978-3-319-66064-6 / 9783319660646 |
| Zustand | Neuware |
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