Notices of the American Mathematical Society

This book is an outgrowth of a collection of 100 problems chosen to celebrate the 100th anniversary of the undergraduate math honor society Pi Mu Epsilon. Each chapter describes a problem or event, the progress made, and connections to entries from other years or other parts of mathematics. In places, some knowledge of analysis or algebra, number theory or probability will be helpful. Put together, these problems will be appealing and accessible to energetic and enthusiastic math majors and aficionados of all stripes. Stephan Ramon Garcia is WM Keck Distinguished Service Professor and professor of mathematics at Pomona College. He is the author of four books and over eighty research articles in operator theory, complex analysis, matrix analysis, number theory, discrete geometry, and other fields. He has coauthored dozens of articles with students, including one that appeared in The Best Writing on Mathematics: 2015. He is on the editorial boards of Notices of the AMS, Proceedings of the AMS, American Mathematical Monthly, Involve, and Annals of Functional Analysis. He received four NSF research grants as principal investigator and five teaching awards from three different institutions. He is a fellow of the American Mathematical Society and was the inaugural recipient of the Society's Dolciani Prize for Excellence in Research. Steven J. Miller is professor of mathematics at Williams College and a visiting assistant professor at Carnegie Mellon University. He has published five books and over one hundred research papers, most with students, in accounting, computer science, economics, geophysics, marketing, mathematics, operations research, physics, sabermetrics, and statistics. He has served on numerous editorial boards, including the Journal of Number Theory, Notices of the AMS, and the Pi Mu Epsilon Journal. He is active in enrichment and supplemental curricular initiatives for elementary and secondary mathematics, from the Teachers as Scholars Program and VCTAL (Value of Computational Thinking Across Grade Levels), to numerous math camps (the Eureka Program, HCSSiM, the Mathematics League International Summer Program, PROMYS, and the Ross Program). He is a fellow of the American Mathematical Society, an at-large senator for Phi Beta Kappa, and a member of the Mount Greylock Regional School Committee, where he sees firsthand the challenges of applying mathematics. "Mathematics for Social Justice offers a collection of resources for mathematics faculty interested in incorporating questions of social justice into their classrooms. The book begins with a series of essays from instructors experienced in integrating social justice themes into their pedagogy; these essays contain political and pedagogical motivations as well as nuts-and-bolts teaching advice. The heart of the book is a collection of fourteen classroom-tested modules featuring ready-to-use activities and investigations for the college mathematics classroom. The mathematical tools and techniques used are relevant to a wide variety of courses including college algebra, math for the liberal arts, calculus, differential equations, discrete mathematics, geometry, financial mathematics, and combinatorics. The social justice themes include human trafficking, income inequality, environmental justice, gerrymandering, voting methods, and access to education. The volume editors are leaders of the national movement to include social justice material into mathematics teaching. Gizem Karaali is Associate Professor of Mathematics at Pomona College. She is one of the founding editors of The Journal of Humanistic Mathematics, and an associate editor for The Mathematical Intelligencer and Numeracy ; she also serves on the editorial board of the MAA's Carus Mathematical Monographs. Lily Khadjavi is Associate Professor of Mathematics at Loyola Marymount University and is a past co-chair of the Infinite Possibilities Conference. She has served on the boards of Building Diversity in Science, the Barbara Jordan-Bayard Rustin Coalition, and the Harvard Gender and Sexuality Caucus."-- Page 4 de la couverture "Mathematics for Social Justice offers a collection of resources for mathematics faculty interested in incorporating questions of social justice into their classrooms. The book begins with a series of essays from instructors experienced in integrating social justice themes into their pedagogy; these essays contain political and pedagogical motivations as well as nuts-and-bolts teaching advice. The heart of the book is a collection of fourteen classroom-tested modules featuring ready-to-use activities and investigations for the college mathematics classroom. The mathematical tools and techniques used are relevant to a wide variety of courses including college algebra, math for the liberal arts, calculus, differential equations, discrete mathematics, geometry, financial mathematics, and combinatorics. The social justice themes include human trafficking, income inequality, environmental justice, gerrymandering, voting methods, and access to education. The volume editors are leaders of the national movement to include social justice material into mathematics teaching. Gizem Karaali is Associate Professor of Mathematics at Pomona College. She is one of the founding editors of The Journal of Humanistic Mathematics, and an associate editor for The Mathematical Intelligencer and Numeracy ; she also serves on the editorial board of the MAA's Carus Mathematical Monographs. Lily Khadjavi is Associate Professor of Mathematics at Loyola Marymount University and is a past co-chair of the Infinite Possibilities Conference. She has served on the boards of Building Diversity in Science, the Barbara Jordan-Bayard Rustin Coalition, and the Harvard Gender and Sexuality Caucus."--Amazon.com Tessellations, palindromes, tangrams, oh my! Women Who Count: Honoring African American Women Mathematicians is a children's activity book highlighting the lives and work of 29 African American women mathematicians, including Dr. Christine Darden, Mary Jackson, Katherine Johnson, and Dorothy Vaughan from the award-winning book and movie Hidden Figures. Although the book is geared toward children in grades 3-8, it is appropriate for all ages. The book includes portrait sketches and biographies for the featured mathematicians, each followed by elementary-school and middle-school activity pages. Children will enjoy uncovering mathematicians' names in word searches, unscrambling math vocabulary words, solving equations to decode interesting facts, using logical thinking to uncover magic squares, locating hidden objects on an "I Spy" page, and more! They will also read about the important contributions of Drs. Martha Euphemia Lofton Haynes, Evelyn Boyd Granville, and Marjorie Lee Browne, the first three African American women to receive doctoral degrees in mathematics. Other women profiled include contemporary mathematicians who will inspire today's children to become tomorrow's leaders. Women Who Count is a must-read for parents and children alike! -- Publisher's description Tessellations, palindromes, tangrams, oh my! Women Who Honoring African American Women Mathematicians is a children's activity book highlighting the lives and work of 29 African American women mathematicians, including Dr. Christine Darden, Mary Jackson, Katherine Johnson, and Dorothy Vaughan from the award-winning book and movie Hidden Figures. Although the book is geared toward children in grades 3 8, it is appropriate for all ages. The book includes portrait sketches and biographies for the featured mathematicians, each followed by elementary-school and middle-school activity pages. Children will enjoy uncovering mathematicians' names in word searches, unscrambling math vocabulary words, solving equations to decode interesting facts, using logical thinking to uncover magic squares, locating hidden objects on an I Spy page, and more! They will also read about the important contributions of Drs. Martha Euphemia Lofton Haynes, Evelyn Boyd Granville, and Marjorie Lee Browne, the first three African American women to receive doctoral degrees in mathematics. Other women profiled include contemporary mathematicians who will inspire today's children to become tomorrow's leaders. Women Who Count is a must-read for parents and children alike! "This book is a collection of 34 curiosities, each a quirky and delightful gem of mathematics and each a shining example of the joy and surprise that mathematics can bring. Intended for the general math enthusiast, each essay begins with an intriguing puzzle, which either springboards into or unravels to become a wondrous piece of thinking. The essays are self-contained and rely only on tools from high-school mathematics (with only a few pieces that ever-so-briefly brush up against high-school calculus). The gist of each essay is easy to pick up with a cursory glance the reader should feel free to simply skim through some essays and dive deep into others. This book is an invitation to play with mathematics and to explore its wonders. Much joy awaits! In the interest of fostering a greater awareness and appreciation of mathematics and its connections to other disciplines and everyday life, MSRI and the AMS are publishing books in the Mathematical Circles Library series as a service to young people, their parents and teachers, and the mathematics profession."--Publisher's description This book is a collection of 34 curiosities, each a quirky and delightful gem of mathematics and each a shining example of the joy and surprise that mathematics can bring. Intended for the general math enthusiast, each essay begins with an intriguing puzzle, which either springboards into or unravels to become a wondrous piece of thinking. The essays are self-contained and rely only on tools from high-school mathematics (with only a few pieces that ever-so-briefly brush up against high school calculus). The gist of each essay is easy to pick up with a cursory glancethe reader should feel free to simply skim through some essays and dive deep into others. This book is an invitation to play with mathematics and to explore its wonders. Much joy awaits! In the interest of fostering a greater awareness and appreciation of mathematics and its connections to other disciplines and everyday life, MSRI and AMS are publishing books in the Mathematical Circles Library series as a service to young people, their parents and teachers, and the mathematics profession. Dragons and poison -- Folding tetrahedra -- The arbelos -- Averages via distances -- Ramsey theory -- Inner triangles -- Land or water? -- Escape -- Flipping a coin for a year -- Coinciding digits -- Inequalities -- Gauss' shoelace formula -- Subdividing a square into triangles -- Equilateral lattice polygons -- Broken sticks and viviani's theorem -- Viviani's converse? -- Integer right triangles -- More question about integer right triangles -- Intersecting circles -- Counting triangular are square numbers -- Balanced sums -- The Prouhet-Thue-Morse sequence -- Some partition numbers -- Ordering colored fractions -- How round is a cube? -- Base and exponent switch -- Associativity and commutativity puzzlers -- Very triangular and very very triangular numbers -- Torus circles -- Trapezoidal numbers -- Square permutations -- Tupper's formula -- Compositional square roots -- Polynomial permutations This book presents nine variations on a classic and beloved puzzle type. Building upon the rules of Sudoku, the puzzles in this volume introduce new challenges by adding clues involving sums, differences, means, divisibility, and more. Each of the first eight chapters presents a rule system followed by a series of puzzles that progress in difficulty from easy to hard, allowing readers to develop and hone skills in logical problem solving, pattern discernment, and strategy building. In the final chapter, the eight puzzle variants are combined into a single complex puzzle type that puts all of the reader's new skills into play. From beginners trying Sudoku for the first time to experts craving something new, this innovative collection will delight and satisfy puzzle lovers of all ages and levels! Garcia (Pomona College) and Miller (Williams College) have assembled 100 problems recognizing major events in mathematics over the last 100 years with the first problem giving a nod to the birth of Paul Erdos in 1913 and the last problem acknowledging the opening of the National Museum of Mathematics in 2012. The problems were originally published in The Pi Mu Epsilon Journal in 2013 and 2014 as a celebration of the 100th anniversary of the math honor society, with some problems expanded a bit for the book. Annotation 2019 Ringgold, Inc., Portland, OR (protoview.com) Presents a collection of 34 curiosities, each a quirky and delightful gem of mathematics and each a shining example of the joy and surprise that mathematics can bring. Intended for the general maths enthusiast, each essay begins with an intriguing puzzle, which either springboards into or unravels to become a wondrous piece of thinking. rnoti-p1001 rnoti-p1013 rnoti-p1023 rnoti-p1034 rnoti-p1058 rnoti-p1068 rnoti-p1078 rnoti-p1088 rnoti-p1093 rnoti-p1109 rnoti-p1118 rnoti-p1150 rnoti-p1166 rnoti-p1176 rnoti-p1185 Far sizedoku -- Distance three sudoku -- Meandoku -- Divisidoku -- Star sumdoku -- Parity adjoku -- Even mindoku -- Near sizedoku -- Zoodoku