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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. .

Intersection theory (Mathematics) --- Presentations of groups (Mathematics) --- Graph theory. --- Mathematics. --- Group theory. --- Matrix theory. --- Algebra. --- Convex geometry. --- Discrete geometry. --- Number theory. --- Discrete mathematics. --- Biomathematics. --- Discrete Mathematics. --- Group Theory and Generalizations. --- Number Theory. --- Convex and Discrete Geometry. --- Physiological, Cellular and Medical Topics. --- Linear and Multilinear Algebras, Matrix Theory. --- Graph theory --- Graphs, Theory of --- Theory of graphs --- Combinatorial analysis --- Topology --- Group presentations (Mathematics) --- Group theory --- Intersection theory --- Geometry, Algebraic --- Extremal problems --- Discrete groups. --- Physiology --- Animal physiology --- Animals --- Biology --- Anatomy --- Groups, Discrete --- Infinite groups --- Number study --- Numbers, Theory of --- Algebra --- Groups, Theory of --- Substitutions (Mathematics) --- Discrete mathematics --- Convex geometry . --- Discrete mathematical structures --- Mathematical structures, Discrete --- Structures, Discrete mathematical --- Numerical analysis --- Mathematics --- Mathematical analysis --- Geometry --- Combinatorial geometry

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Mathematics --- Investigació matemàtica --- Research. --- Mathematical research --- Investigació

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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. .

Number theory --- Group theory --- Algebra --- Geometry --- Discrete mathematics --- Mathematics --- Geology. Earth sciences --- Human biochemistry --- Human physiology --- algebra --- medische biochemie --- matrices --- discrete wiskunde --- fysiologie --- vaccinatie --- wiskunde --- getallenleer --- geometrie

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Mathematics research opportunities for undergraduate students have grown significantly in recent years, but accessible research topics for first- and second-year students are still hard to find. To address this need, this volume provides beginning students who have already had some exposure to calculus with specific research projects and the tools required to tackle them. Chapters are self-contained, presenting projects students can pursue, along with essential background material and suggestions for further reading. In addition to calculus, some of the later chapters require prerequisites such as linear algebra and statistics. Suggested prerequisites are noted at the beginning of each chapter. Some topics covered include: lattice walks in the plane statistical modeling of survival data building blocks and geometry modeling of weather and climate change mathematics of risk and insurance Mathematics Research for the Beginning Student, Volume 2 will appeal to undergraduate students at two- and four-year colleges who are interested in pursuing mathematics research projects. Faculty members interested in serving as advisors to these students will find ideas and guidance as well. This volume will also be of interest to advanced high school students interested in exploring mathematics research for the first time. A separate volume with research projects for students who have not yet studied calculus is also available.

Didactics of mathematics --- Mathematics --- didactiek --- wiskunde

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Discrete mathematics --- discrete wiskunde