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Math Out Loud: An Oral Olympiad Handbook
Math Hour Olympiads is a non-standard method of training middle- and high-school students interested in mathematics where students spend several hours thinking about a few difficult and unusual problems. When a student solves a problem, the solution is presented orally to a pair of friendly judges. Discussing the solutions with the judges creates a personal and engaging mathematical experience for the students and introduces them to the true nature of mathematical proof and problem solving. This book recounts the authors' experiences from the first ten years of running a Math Hour Olympiad at the University of Washington in Seattle. The major part of the book is devoted to problem sets and detailed solutions, complemented by a practical guide for anyone who would like to organize an oral olympiad for students in their community. 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.
Triangulations
Triangulations presents the first comprehensive treatment of the theory of secondary polytopes and related topics. The text discusses the geometric structure behind the algorithms and shows new emerging applications, including hundreds of illustrations, examples, and exercises.
Recent Trends in Combinatorics
This volume presents some of the research topics discussed at the 2014-2015 Annual Thematic Program Discrete Structures: Analysis and Applications at the Institute for Mathematics and its Applications during Fall 2014, when combinatorics was the focus. Leading experts have written surveys of research problems, making state of the art results more conveniently and widely available. The three-part structure of the volume reflects the three workshops held during Fall 2014. In the first part, topics on extremal and probabilistic combinatorics are presented; part two focuses on additive and analytic combinatorics; and part three presents topics in geometric and enumerative combinatorics. This book will be of use to those who research combinatorics directly or apply combinatorial methods to other fields.
Combinatorial Methods in Topology and Algebra
Combinatorics plays a prominent role in contemporary mathematics, due to the vibrant development it has experienced in the last two decades and its many interactions with other subjects. This book arises from the INdAM conference "CoMeTA 2013 - Combinatorial Methods in Topology and Algebra,'' which was held in Cortona in September 2013. The event brought together emerging and leading researchers at the crossroads of Combinatorics, Topology and Algebra, with a particular focus on new trends in subjects such as: hyperplane arrangements; discrete geometry and combinatorial topology; polytope theory and triangulations of manifolds; combinatorial algebraic geometry and commutative algebra; algebraic combinatorics; and combinatorial representation theory. The book is divided into two parts. The first expands on the topics discussed at the conference by providing additional background and explanations, while the second presents original contributions on new trends in the topics addressed by the conference.
Mathematics Research for the Beginning Student, Volume 2
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 chapt...
A Handbook of Divorce and Custody
The Handbook of Divorce and Custody brings together mental health professionals and forensic specialists dedicated to working in the legal arena with families in crisis. Section I provides the individual perspectives of experienced clinicians, all of whom share a psychodynamic and developmental purview, and supplements their accounts with the viewpoints of a lawyer and a judge. Section II examines parental psychopathology, which is often at the root of family conflict and turmoil. Section III deals with the nature and extent of the state's potential involvement with the family, from ensuring parents' rights to raise their children to identifying those circumstances that justify the terminati...
A Festival of Mathematics
This book, inspired by the Julia Robinson Mathematics Festival, aims to engage students in mathematical discovery through fun and approachable problems that reveal deeper mathematical ideas. Each chapter starts with a gentle on-ramp, such as a game or puzzle requiring no more than simple arithmetic or intuitive concepts of symmetry. Follow-up problems and activities require intuitive logic and reveal more sophisticated notions of strategy and algorithms. Projects are designed so that progress is more important than any end goal, ensuring that students will learn something significant no matter how far they get. The process of understanding the questions and how they build on one another beco...
RoboCup 2015: Robot World Cup XIX
This book is the Proceedings of the 19th Annual RoboCup International Symposium, held in Hefei, China, in July 2015. The book contains 20 papers presented at the Symposium, carefully selected from 39 submissions. Additionally the book contains 11 champion team papers and one paper from the Workshop on Benchmarking Service Robots. The papers present current research in robotics, artificial intelligence, computer vision, multiagent systems, simulation, and other areas.
Mathematics via Problems
This book is a translation from Russian of Part III of the book Mathematics via Problems: From Olympiads and Math Circles to Profession. Part I, Algebra, and Part II, Geometry, have been published in the same series. The main goal of this book is to develop important parts of mathematics through problems. The authors tried to put together sequences of problems that allow high school students (and some undergraduates) with strong interest in mathematics to discover such topics in combinatorics as counting, graphs, constructions and invariants in combinatorics, games and algorithms, probabilistic aspects of combinatorics, and combinatorial geometry. Definitions and/or references for material t...
The Extraordinary Spirit of Green Chimneys
Green Chimneys is a nationally renowned US nonprofit organization that helps improve the lives of at-risk urban children by incorporating animals and environmental activities into their educational experiences. Founded by Dr. Samuel (Rollo) B. Ross, Jr., “Green Chimneys Farm for Little Folk” opened its doors in 1948 with just eleven students. The property has since expanded to cover nearly seven hundred fifty acres in New York, and the school now serves almost two hundred students. Recognized as a worldwide leader in animal-assisted therapy and activities, Green Chimneys provides innovative and caring services for children and their families, as well as the animals with which they spend time. It targets its services at restoring emotional well-being and fostering independence. For over sixty years, Ross developed and operated this innovative and experimental year-round school, and he still remains integrally involved. This book recounts his experiences, sharing a lifetime of practical learning and insights to benefit and inspire all those who work with troubled children, and who believe in the healing power of the natural world.
