04889nam 22007935 450 991027975740332120220415191106.03-319-66065-910.1007/978-3-319-66065-3(CKB)3840000000347612(MiAaPQ)EBC5267527(DE-He213)978-3-319-66065-3(PPN)22463979X(EXLCZ)99384000000034761220180206d2017 u| 0engurcnu||||||||rdacontentrdamediardacarrierA primer for undergraduate research from groups and tiles to frames and vaccines /edited by Aaron Wootton, Valerie Peterson, Christopher Lee1st ed. 2017.Cham :Springer International Publishing :Imprint: Birkhäuser,2017.1 online resource (313 pages) illustrationsFoundations for Undergraduate Research in Mathematics,2520-12123-319-66064-0 Includes bibliographical references at the end of each chapters and index.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 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. .Foundations for Undergraduate Research in Mathematics,2520-1212Discrete mathematicsGroup theoryNumber theoryConvex geometry Discrete geometryBiomathematicsMatrix theoryAlgebraDiscrete Mathematicshttps://scigraph.springernature.com/ontologies/product-market-codes/M29000Group Theory and Generalizationshttps://scigraph.springernature.com/ontologies/product-market-codes/M11078Number Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/M25001Convex and Discrete Geometryhttps://scigraph.springernature.com/ontologies/product-market-codes/M21014Physiological, Cellular and Medical Topicshttps://scigraph.springernature.com/ontologies/product-market-codes/M31020Linear and Multilinear Algebras, Matrix Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/M11094Discrete mathematics.Group theory.Number theory.Convex geometry .Discrete geometry.Biomathematics.Matrix theory.Algebra.Discrete Mathematics.Group Theory and Generalizations.Number Theory.Convex and Discrete Geometry.Physiological, Cellular and Medical Topics.Linear and Multilinear Algebras, Matrix Theory.516.35Wootton Aaronedthttp://id.loc.gov/vocabulary/relators/edtPeterson Valerieedthttp://id.loc.gov/vocabulary/relators/edtLee Christopheredthttp://id.loc.gov/vocabulary/relators/edtMiAaPQMiAaPQMiAaPQBOOK9910279757403321A Primer for Undergraduate Research2087446UNINA