The Alberta High School Math Competitions 1957 2006
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The Alberta High School Math Competitions 1957-2006 by Andrew Chiang-Fung Liu Pdf
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.
The Alberta High School Math Competitions 1957-2006 by Andrew Chiang-Fung Liu Pdf
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.
Author : Scott A. Annin Publisher : The Mathematical Association of America Page : 399 pages File Size : 45,5 Mb Release : 2015-11-16 Category : Mathematics ISBN : 9780883858356
A Gentle Introduction to the American Invitational Mathematics Exam by Scott A. Annin Pdf
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.
Euclidean Geometry in Mathematical Olympiads by Evan Chen Pdf
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.
Author : James Tanton Publisher : The Mathematical Association of America Page : 233 pages File Size : 44,9 Mb Release : 2015-08-10 Category : Mathematics ISBN : 9780883858363
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!)
Hungarian Problem Book IV by Robert Barrington Leigh,Chiang-Fung Andrew Liu Pdf
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.
The William Lowell Putnam Mathematical Competition Problems and Solutions by Andrew M. Gleason Pdf
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.
Author : Truth and Reconciliation Commission of Canada Publisher : James Lorimer & Company Page : 673 pages File Size : 50,6 Mb Release : 2015-07-22 Category : History ISBN : 9781459410695
Final Report of the Truth and Reconciliation Commission of Canada, Volume One: Summary by Truth and Reconciliation Commission of Canada Pdf
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.
Problems from Murray Klamkin by Murray S. Klamkin Pdf
When one thinks of mathematical problems posed over the past 30 years, one name automatically leaps to the fore - Murray Klamkin. In this book Andy Liu and Bruce Shawyer present problems that he proposed over his career. It contains the 'quickies' (problems with quick and neat solutions) he proposed in 'Crux Mathematicorum,' his longer problems, and also problems which were posed in tribute to him after he died. Solutions are provided in the second half of the book.
Moscow has a rich tradition of successful math circles, to the extent that many other circles are modeled on them. This book presents materials used during the course of one year in a math circle organized by mathematics faculty at Moscow State University, and also used at the mathematics magnet school known as Moscow School Number 57. Each problem set has a similar structure: it combines review material with a new topic, offering problems in a range of difficulty levels. This time-tested pattern has proved its effectiveness in engaging all students and helping them master new material while building on earlier knowledge. The introduction describes in detail how the math circles at Moscow State University are run. Dorichenko describes how the early sessions differ from later sessions, how to choose problems, and what sorts of difficulties may arise when running a circle. The book also includes a selection of problems used in the competition known as the Mathematical Maze, a mathematical story based on actual lessons with students, and an addendum on the San Jose Mathematical Circle, which is run in the Russian style. 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.
The concept of factorization, familiar in the ordinary system of whole numbers that can be written as a unique product of prime numbers, plays a central role in modern mathematics and its applications. This exposition of the classic theory leads the reader to an understanding of the current knowledge of the subject and its connections to other math
