Presents the problems and answers for the first 50 years of the Alberta High School Mathematics Competition, up to 2005-2006. Full solutions are provided to those from the Modern period, often supplemented with multiple solutions or additional commentaries.

The Alberta High School Mathematics Competition was the first and oldest in Canada to be run on a provincial scale. It started in 1957 and its fifty years can be broken down to three periods : ancient (1957-1966), medieval (1967-1983) and modern (1984-2006), which reflect what was taught in the schools of the day. The first two periods are primarily of historical interest. During the modern period, the problem committee was led by the well-known problemist Murray Klamkin, and composed many innovative and challenging problems. This book contains all the problems and answers for the first fifty years of the competition, up to 2005 / 2006 and full solutions are provided to those from the modern period, often supplemented with multiple solutions or additional commentaries.

This book is a celebration of mathematical problem solving at the level of the high school American Invitational Mathematics Examination. There is no other book on the market focused on the AIME. It is intended, in part, as a resource for comprehensive study and practice for the AIME competition for students, teachers, and mentors. After all, serious AIME contenders and competitors should seek a lot of practice in order to succeed. However, this book is also intended for anyone who enjoys solving problems as a recreational pursuit. The AIME contains many problems that have the power to foster enthusiasm for mathematics – the problems are fun, engaging, and addictive. The problems found within these pages can be used by teachers who wish to challenge their students, and they can be used to foster a community of lovers of mathematical problem solving! There are more than 250 fully-solved problems in the book, containing examples from AIME competitions of the 1980’s, 1990’s, 2000’s, and 2010’s. In some cases, multiple solutions are presented to highlight variable approaches. To help problem-solvers with the exercises, the author provides two levels of hints to each exercise in the book, one to help stuck starters get an idea how to begin, and another to provide more guidance in navigating an approach to the solution.

An entertaining collection of 208 accessible yet challenging mathematical puzzles, designed to appeal to problem solvers at many different levels.

This is a challenging problem-solving book in Euclidean geometry, assuming nothing of the reader other than a good deal of courage. Topics covered included cyclic quadrilaterals, power of a point, homothety, triangle centers; along the way the reader will meet such classical gems as the nine-point circle, the Simson line, the symmedian and the mixtilinear incircle, as well as the theorems of Euler, Ceva, Menelaus, and Pascal. Another part is dedicated to the use of complex numbers and barycentric coordinates, granting the reader both a traditional and computational viewpoint of the material. The final part consists of some more advanced topics, such as inversion in the plane, the cross ratio and projective transformations, and the theory of the complete quadrilateral. The exposition is friendly and relaxed, and accompanied by over 300 beautifully drawn figures. The emphasis of this book is placed squarely on the problems. Each chapter contains carefully chosen worked examples, which explain not only the solutions to the problems but also describe in close detail how one would invent the solution to begin with. The text contains a selection of 300 practice problems of varying difficulty from contests around the world, with extensive hints and selected solutions. This book is especially suitable for students preparing for national or international mathematical olympiads or for teachers looking for a text for an honor class.

This guide covers the story of trigonometry. It is a swift overview, but it is complete in the context of the content discussed in beginning and advanced high-school courses. The purpose of these notes is to supplement and put into perspective the material of any course on the subject you may have taken or are currently taking. (These notes will be tough going for those encountering trigonometry for the very first time!)

Forty-eight challenging problems from the oldest high school mathematics competition in the world. This book is a continuation of Hungarian Problem Book III and takes the contest from 1944 through to 1963. This book is intended for beginners, although the experienced student will find much here.

Back by popular demand, the MAA is pleased to reissue this outstanding collection of problems and solutions from the Putnam Competitions covering the years 1938-1964. Problemists the world over, including all past and future Putnam Competitors, will revel in mastering the difficulties posed by this collection of problems from the first 25 William Lowell Putnam Competitions.

A coherent, self-contained treatment of the central topics of real analysis employing modern infinitesimals.

This is the Final Report of Canada's Truth and Reconciliation Commission and its six-year investigation of the residential school system for Aboriginal youth and the legacy of these schools. This report, the summary volume, includes the history of residential schools, the legacy of that school system, and the full text of the Commission's 94 recommendations for action to address that legacy. This report lays bare a part of Canada's history that until recently was little-known to most non-Aboriginal Canadians. The Commission discusses the logic of the colonization of Canada's territories, and why and how policy and practice developed to end the existence of distinct societies of Aboriginal peoples. Using brief excerpts from the powerful testimony heard from Survivors, this report documents the residential school system which forced children into institutions where they were forbidden to speak their language, required to discard their clothing in favour of institutional wear, given inadequate food, housed in inferior and fire-prone buildings, required to work when they should have been studying, and subjected to emotional, psychological and often physical abuse. In this setting, cruel punishments were all too common, as was sexual abuse. More than 30,000 Survivors have been compensated financially by the Government of Canada for their experiences in residential schools, but the legacy of this experience is ongoing today. This report explains the links to high rates of Aboriginal children being taken from their families, abuse of drugs and alcohol, and high rates of suicide. The report documents the drastic decline in the presence of Aboriginal languages, even as Survivors and others work to maintain their distinctive cultures, traditions, and governance. The report offers 94 calls to action on the part of governments, churches, public institutions and non-Aboriginal Canadians as a path to meaningful reconciliation of Canada today with Aboriginal citizens. Even though the historical experience of residential schools constituted an act of cultural genocide by Canadian government authorities, the United Nation's declaration of the rights of aboriginal peoples and the specific recommendations of the Commission offer a path to move from apology for these events to true reconciliation that can be embraced by all Canadians.