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This book provides an active-learning approach to combinatorial reasoning and proof through a thoughtful sequence of low threshold, high ceiling activities. A novel feature is its narrative format, with much of the text written from the perspective of a student working through the material with peers. Furthermore, each chapter includes detailed notes for the instructor such as additional scaffolding, extensions, and notation for more advanced students. The exposition is complemented by over 300 colorful illustrations. The main focus of the book is the study of integer compositions with forays into graph theory and recreational mathematics. Befitting the constructive nature of the book, compo...
An outrageous graphic novel that investigates key concepts in mathematics Integers and permutations—two of the most basic mathematical objects—are born of different fields and analyzed with separate techniques. Yet when the Mathematical Sciences Investigation team of crack forensic mathematicians, led by Professor Gauss, begins its autopsies of the victims of two seemingly unrelated homicides, Arnie Integer and Daisy Permutation, they discover the most extraordinary similarities between the structures of each body. Prime Suspects is a graphic novel that takes you on a voyage of forensic discovery, exploring some of the most fundamental ideas in mathematics. Travel with Detective von Neum...
The Gathering 4 Gardner is a biannual conference founded—and for many years organized—by Tom Rodgers to celebrate the spirit of Martin Gardner. While primarily concerned with recreational mathematics, most of Gardner's intellectual interests are featured, including magic, literature, philosophy, puzzles, art, and rationality. Gardner's writing inspired several generations of mathematicians by introducing us to the joy of discovery and exploration, and the Gathering's aim is to continue that tradition of inspiration. This volume, a tribute to Rodgers and Gardner, consists of papers originally presented at the Gathering 4 Gardner meetings. Recreational mathematics is strongly prominent wit...
A new twist in knot theory -- Error-term roulette and the Sato-Tate conjecture -- The fifty-one percent solution -- Dominos, anyone? -- No seeing is believing -- Getting with the (Mori) program -- The book that time couldn't erase -- Charting a 248-dimensional world -- Compressed sensing makes every pixel count.
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"American media often ask why women can't do mathematics. Any answer is misleading. Better questions are needed, along with indications of how to find potential answers. The Committee on the Participation of Women of the Mathematical Association of America (MAA) has identified more than fifty cultural customs that discourage aspiring women mathematicians. How can these customs be changed? What can be done to recruit, retain, and acknowledge women in mathematics? The Committee was established in 1987 to 'work for full involvement of women in the affairs of the MAA and to develop MAA activities that will encourage women in careers in the mathematical sciences.' With this book the committee seeks to expand the number and effectiveness of those winning women into mathematics."--Publisher's description.
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This volume is fourth in the much-acclaimed 'AMS' series, ""What's Happening in the Mathematical Sciences"". The lively style and in-depth coverage of some of the most important 'happenings' in mathematics today make this publication a delightful and intriguing read accessible to a wide audience. High school students, professors, researchers, engineers, statisticians, computer scientists - anyone with an interest in mathematics - will find captivating material in this book. As we enter the 21st century, ""What's Happening"" presents the state of modern mathematics and its worldwide significance in a timely and enduring fashion.Featured articles include: 'From Wired to Weird', on advances that are encouraging research in quantum computation; 'A Prime Case of Chaos', on new connections between number theory and theoretical physics; 'Beetlemania: Chaos in Ecology', on new evidence for chaotic dynamics in an actual population; 'A Blue-Letter Day for Computer Chess', on the mathematics underlying Deep Blue's victory over Garry Kasparov; and, much more!
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