Proofs that Really Count

Proofs that Really Count

Author: Arthur T. Benjamin

Publisher: American Mathematical Society

Published: 2022-09-21

Total Pages: 210

ISBN-13: 1470472597

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Mathematics is the science of patterns, and mathematicians attempt to understand these patterns and discover new ones using a variety of tools. In Proofs That Really Count, award-winning math professors Arthur Benjamin and Jennifer Quinn demonstrate that many number patterns, even very complex ones, can be understood by simple counting arguments. The book emphasizes numbers that are often not thought of as numbers that count: Fibonacci Numbers, Lucas Numbers, Continued Fractions, and Harmonic Numbers, to name a few. Numerous hints and references are given for all chapter exercises and many chapters end with a list of identities in need of combinatorial proof. The extensive appendix of identities will be a valuable resource. This book should appeal to readers of all levels, from high school math students to professional mathematicians.


Proceedings of the Conference on Promoting Undergraduate Research in Mathematics

Proceedings of the Conference on Promoting Undergraduate Research in Mathematics

Author: Joseph A. Gallian

Publisher:

Published: 2007

Total Pages: 455

ISBN-13: 9780821843215

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Descriptions of summer research programs: The AIM REU: Individual projects with a common theme by D. W. Farmer The Applied Mathematical Sciences Summer Institute by E. T. Camacho and S. A. Wirkus Promoting research and minority participantion via undergraduate research in the mathematical sciences. MTBI/SUMS-Arizona State University by C. Castillo-Chavez, C. Castillo-Garsow, G. Chowell, D. Murillo, and M. Pshaenich Summer mathematics research experience for undergraduates (REU) at Brigham Young University by M. Dorff Introducing undergraduates for underrepresented minorities to mathematical research: The CSU Channel Islands/California Lutheran University REU, 2004-2006 by C. Wyels The REUT and NREUP programs at California State University, Chico by C. M. Gallagher and T. W. Mattman Undergraduate research at Canisius. Geometry and physics on graphs, summer 2006 by S. Prassidis The NSF REU at Central Michigan University by S. Narayan and K. Smith Claremont Colleges REU, 2005-07 by J. Hoste The first summer undergraduate research program at Clayton State University by A. Lanz Clemson REU in computational number theory and combinatorics by N. Calkin and K. James Research with pre-mathematicians by C. R. Johnson Traditional roots, new beginnings: Transitions in undergraduate research in mathematics at ETSU by A. P. Godbole Undergraduate research in mathematics at Grand Valley State University by S. Schlicker The Hope College REU program by T. Pennings The REU experience at Iowa State University by L. Hogben Lafayette College's REU by G. Gordon LSU REU: Graphs, knots, & Dessins in topology, number theory & geometry by N. W. Stoltzfus, R. V. Perlis, and J. W. Hoffman Mount Holyoke College mathematics summer research institute by M. M. Robinson The director's summer program at the NSA by T. White REU in mathematical biology at Penn State Erie, The Behrend College by J. P. Previte, M. A. Rutter, and S. A. Stevens The Rice University Summer Institute of Statistics (RUSIS) by J. Rojo The Rose-Hulman REU in mathematics by K. Bryan The REU program at DIMACS/Rutgers University by B. J. Latka and F. S. Roberts The SUNY Potsdam-Clarkson University REU program by J. Foisy The Trinity University research experiences for undergraduates in mathematics program by S. Chapman Undergraduate research in mathematics at the University of Akron by J. D. Adler The Duluth undergraduate research program 1977-2006 by J. A. Gallian Promoting undergraduate research in mathematics at the University of Nebraska-Lincoln by J. L. Walker, W. Ledder, R. Rebarber, and G. Woodward REU site: Algorithmic combinatorics on words by F. Blanchet-Sadri Promoting undergraduate research by T. Aktosun Research experiences for undergraduates inverse problems for electrical networks by J. A. Morrow Valparaiso experiences in research for undergraduates in mathematics by R. Gillman and Z. Szaniszlo Wabash Summer Institute in Algebra (WSIA) by M. Axtell, J. D. Phillips, and W. Turner THe SMALL program at Williams College by C. E. Silva and F. Morgan Industrial mathematics and statistics research for undergraduates at WPI by A. C. Heinricher and S. L. Weekes Descriptions of summer enrichment programs: Twelve years of summer program for women in mathematics-What works and why? by M. M. Gupta Research experience for undergraduates in numerical analysis and scientific computing: An international program by G. Fairweather and B. M. Moskal Articles: The Long-Term Undergraduate Research (LURE) model by S. S. Adams, J. A. Davis, N. Eugene, K. Hoke, S. Narayan, and K. Smith Research with students from underrepresented groups by R. Ashley, A. Ayela-Uwangue, F. Cabrera, C. Callesano, and D. A. Narayan Research classes at Gettysburg College by B. Bajnok Research in industrial projects for students: A unique undergraduate experience by S. Beggs What students say about their REU experience by F. Connolly and J. A. Gallian Diversity issues in undergraduate research by R. Cortez, D. Davenport, H


Combinatorics, Graph Theory and Computing

Combinatorics, Graph Theory and Computing

Author: Frederick Hoffman

Publisher: Springer Nature

Published: 2022-09-13

Total Pages: 327

ISBN-13: 3031053753

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This proceedings volume gathers selected, revised papers presented at the 51st Southeastern International Conference on Combinatorics, Graph Theory and Computing (SEICCGTC 2020), held at Florida Atlantic University in Boca Raton, USA, on March 9-13, 2020. The SEICCGTC is broadly considered to be a trendsetter for other conferences around the world – many of the ideas and themes first discussed at it have subsequently been explored at other conferences and symposia. The conference has been held annually since 1970, in Baton Rouge, Louisiana and Boca Raton, Florida. Over the years, it has grown to become the major annual conference in its fields, and plays a major role in disseminating results and in fostering collaborative work. This volume is intended for the community of pure and applied mathematicians, in academia, industry and government, working in combinatorics and graph theory, as well as related areas of computer science and the interactions among these fields.


Combinatorics, Graph Theory and Computing

Combinatorics, Graph Theory and Computing

Author: Sarah Heuss

Publisher: Springer

Published: 2024-11-04

Total Pages: 0

ISBN-13: 9783031621659

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This proceedings volume compiles selected, revised papers presented at the 53rd SouthEastern International Conference on Combinatorics, Graph Theory, and Computing (SEICCGTC 2022), which took place at Florida Atlantic University in Boca Raton, USA, from March 7th to 11th, 2022. The SEICCGTC is widely regarded as a trendsetter for other conferences worldwide. Many ideas and themes initially discussed here have subsequently been explored in other conferences and symposia. Since 1970, the conference has been held annually in Baton Rouge, Louisiana, and Boca Raton, Florida. Over the years, it has grown to become the primary annual conference in its fields, playing a crucial role in disseminating results and fostering collaborative work. This volume is tailored for the community of pure and applied mathematicians in academia, industry, and government, who work in combinatorics and graph theory, as well as related areas of computer science and the intersections among these fields.


Connections in Discrete Mathematics

Connections in Discrete Mathematics

Author: Steve Butler

Publisher: Cambridge University Press

Published: 2018-06-14

Total Pages: 367

ISBN-13: 1107153980

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Many of the best researchers and writers in discrete mathematics come together in a volume inspired by Ron Graham.


Handbook of Enumerative Combinatorics

Handbook of Enumerative Combinatorics

Author: Miklos Bona

Publisher: CRC Press

Published: 2015-03-24

Total Pages: 1073

ISBN-13: 1482220865

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Presenting the state of the art, the Handbook of Enumerative Combinatorics brings together the work of today's most prominent researchers. The contributors survey the methods of combinatorial enumeration along with the most frequent applications of these methods.This important new work is edited by Miklos Bona of the University of Florida where he


Combinatorics, Graph Theory and Computing

Combinatorics, Graph Theory and Computing

Author: Frederick Hoffman

Publisher: Springer

Published: 2024-04-07

Total Pages: 0

ISBN-13: 9783031529689

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This proceedings volume convenes selected, revised papers presented at the 52nd Southeastern International Conference on Combinatorics, Graph Theory and Computing (SEICCGTC 2021), virtually held at Florida Atlantic University in Boca Raton, USA, on March 8-12, 2021. As has been a tradition since its inception in 1970, this edition once more brought together mathematicians, practitioners, and scientists around novel findings in combinatorics, graph theory and computing, and their interactions. The lectures and works presented at the Conference have proven to be of great interest to other scientists and analysts employing these mathematical sciences in their professional activities in business, industry, and government. Such an environment promotes a better understanding of the roles of modern applied mathematics, combinatorics, and computer science. Many works have demonstrated that disciplines have increasingly contributed to each other. With this series of Conferences, the gaps between the fields tend to decrease even further. This volume is of particular interest for the community of pure and applied mathematicians in academia, industry, and government, working in combinatorics and graph theory, as well as related areas of computer science and the interactions among these fields. Its findings can also benefit a general audience of practitioners and students from related fields.