Bøger i MSRI Mathematical Circles Library serien

A translation from Russian of Part II of the book Mathematics Through Problems: From Olympiads and Math Circles to Profession. The main goal of this book is to develop important parts of mathematics through problems.

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 organise an oral olympiad for students in their community.

A translation from Russian of part I of the book Mathematics Through Problems: From Olympiads and Math Circles to Profession. The main goal of this book is to develop important parts of mathematics through problems.

The people of the Navajo Nation know mathematics education for their children is essential. They were joined by mathematicians familiar who through exploration, could show the art, joy and beauty in mathematics. This combined effort produced a series of Navajo Math Circles. This book contains the mathematical details of that effort.

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.

Offers an exploration of the aesthetic value of mathematics and the culture of the mathematics community. The book introduces budding mathematicians of all ages to mathematical ways of thinking through a series of chapters that mix episodes from the author's life with explanations of intriguing mathematical concepts.

Introduces children to combinatorics, Fibonacci numbers, Pascal's triangle, and the notion of area, among other things. The authors chose topics with deep mathematical context that are part of the continuously developing stream of mathematical thought.

Teaches how to think and solve problems in mathematics. The material, distributed among twenty-nine weekly lessons, includes detailed lectures and discussions, sets of problems with solutions, and contests and games. In addition, the book shares some of the know-how of running a mathematical circle.

This book starts with simple arithmetic inequalities and builds to sophisticated inequality results such as the Cauchy-Schwarz and Chebyshev inequalities. Nothing beyond high school algebra is required of the student. The exposition is lean. Most of the learning occurs as the student engages in the problems posed in each chapter. And the learning is not "linear".

The ARML (American Regions Math League) Power Contest is truly a unique competition in which a team of students is judged on its ability to discover a pattern, express the pattern in precise mathematical language, and provide a logical proof of its conjectures. This book contains thirty-seven interesting and engaging problem sets presented at ARML Power Contests from 1994 to 2013.

Presents several new directions of mathematical research. All of these directions are based on numerical experiments conducted by the author, which led to new hypotheses that currently remain open. The hypotheses range from geometry and topology to combinatorics to algebra and number theory.

Vladimir Arnold (1937-2010) was one of the great mathematical minds of the late 20th century. He did significant work in many areas of the field. On another level, he was keeping with a strong tradition in Russian mathematics to write for and to directly teach younger students interested in mathematics. This book contains some examples of Arnold's contributions to the genre.

A comprehensive and careful study of the fundamental topics of K-8 arithmetic consisting of twelve interactive seminars. The guide aims to help teachers understand the mathematical foundations of number theory in order to strengthen and enrich their mathematics classes. Five seminars are dedicated to fractions and decimals because of their importance in the classroom curriculum.

Offers advice on various aspects of math circle operations. This book includes topics such as creative means for getting the word out to students, sound principles for selecting effective speakers, guidelines for securing financial support, and tips for designing a math circle session.

Provides ten seminars that cover the fundamental topics in school geometry, including all of the significant topics in high school geometry. The seminars are crafted to clarify and enhance understanding of the subject. Concepts in plane and solid geometry are carefully explained, and activities that teachers can use in their classrooms are emphasized.

Introduces the basics of many important areas of modern mathematics, including logic, symmetry, probability theory, knot theory, cryptography, fractals, and number theory. It starts with generously illustrated sets of problems and hands-on activities. It then includes comments on the topics of the lesson, relates those topics to discussions in other chapters.

Presents possible paths to studying mathematics and falling in love with it, via teaching two important skills: thinking creatively while still obeying the rules, and making connections between problems, ideas, and theories. The book encourages you to apply the newly acquired knowledge to problems and guides you along the way.

Contains everything that is needed to run a successful mathematical circle for a full year. The materials, distributed among 29 weekly lessons, include detailed lectures and discussions, sets of problems with solutions, and contests and games. In addition, the book shares some of the know-how of running a mathematical circle.