Robert Geretschlager Book order

Exploring the fascinating world of plane geometry, this book delves into the circle and its unexpected curiosities, offering insights that go beyond typical school lessons. Presented in an accessible manner, it requires only basic geometric knowledge to appreciate the intriguing relationships and proofs. Aimed at a broad audience, it seeks to enhance the enjoyment of geometry for general readers and serves as a valuable resource for mathematics teachers looking to inspire their students with captivating circle properties.

Focusing on mathematics competitions, this volume delves into their significance in research, education, and entertainment. It features diverse problems commonly found in these contests and addresses the unique challenges posed by Covid-19, highlighting the benefits of transitioning to online formats. Additionally, it offers insights into the relationship between competition mathematics and its organization, along with the broader implications for teaching and research in the field.

Focusing on the triangle, this book reveals a vast array of geometric curiosities that extend beyond standard school teachings. It presents a rich collection of triangle-related wonders, explained in an accessible manner that requires only basic geometry knowledge. Aimed at a general audience, it seeks to deepen appreciation for geometry while also serving as a valuable resource for mathematics teachers, offering engaging properties to inspire students.

Focusing on mathematics competitions, this two-volume set explores their significance in research, education, and entertainment. It delves into various aspects of engaging young students in mathematics, highlighting the impact of competitions on learning and fostering a love for the subject.

Focusing on the role of mathematics competitions, this two-volume work explores their significance in mathematical research, education, and enjoyment. It delves into various aspects of engaging young students in mathematics, highlighting how competitions can enhance learning and foster a love for the subject. Through a comprehensive approach, the volumes aim to inspire educators and students alike to appreciate the value of mathematical challenges.

This book contains the most interesting problems from the first 24 years of the "Mathematical Duel", an annual international mathematics competition between the students of four schools: the Gymnázium Mikuláse Kopernika in Bilovec, Czech Republic, the Akademicki Zespól Ogólnoksztacacych in Chorzów, Poland, the Bundesrealgymnasium Kepler in Graz, Austria and the Gymnázium Jakuba kody in Prerov, Czech Republic. The problems are presented by topics; grouped under the headings Geometry, Combinatorics, Number Theory and Algebra, which is typical for Olympiad-style competitions. Above all, it is of interest to students preparing for mathematics competitions and teachers looking for material to prepare their students, as well as mathematically interested enthusiasts from all walks of life looking for an intellectual challenge. Book jacket.

The circle has fascinated mathematicians since ancient times. This entertaining book describes in layperson's terms the many intriguing properties of this fundamental shape. If math has intimidated you, this may be the ideal book to help you appreciate the discipline through one of its most important elements. The authors begin with a brief review of the basic properties of the circle and related figures. They then show the many ways in which the circle manifests itself in the field of geometry--leading to some amazing relationships and truly important geometric theorems. In addition, they explore remarkable circle constructions and demonstrate how all constructions in geometry that usually require an unmarked straightedge and a compass can also be done with the compass alone. Among other things, the reader will learn that circles can generate some unusual curves - many even quite artistic. Finally, the role of circles in art and architecture and a discussion of the circle's place on the sphere bring "full circle" this presentation of a key element of geometry.