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ATOM Volume XII: Transformational Geometry

This book is intended for secondary students with some experience in school geometry. It is assumed that they have had enough elementary Euclidean geometry to cover theorems about congruences of triangles, properties of isosceles and right triangles, basic area theorems for triangles and quadrilaterals, properties of circles and concyclic quadrilaterials. It is expected that the … Read more

ATOM Volume XIII: Quadratics and Complex Numbers

While the quadratic equation is part of the standard syllabus in secondary school, the scope of this topic has been curtailed in many jurisdictions over the years. It is not enough for students to simply do basic factoring exercises and engage in rote application of the quadratic formula in solving equations. This criticism has even … Read more

ATOM Volume XIV: Sequences and Series

Secondary school students are often familiar with finite arithmetic and geometric series. Those who attempt a more advanced level of study become introduced to infinite series and some formal techniques of their summation. However, many interesting, non-standard, and important examples remain outside of students’ view and experience. In this book, while maintaining rigorous approach, we … Read more