Geometric Transformations

This textbook provides a comprehensive exploration of plane Euclidean geometry through problems, offering a transformation-based approach to various mathematical concepts and examples. It is based on the combined teaching experience of authors who have coached Mathematical Olympiad teams in Brazil, Romania, and the USA. The book covers isometries, homotheties, spiral similarities, and inversions, with carefully selected problems to introduce students to the topics gradually. Many of these problems have appeared in competitions such as Mathematical Olympiads or mathematical journals. The book offers a global perspective on the geometric content of today's mathematics competitions, introducing new methods and ideas to the public. It is suitable for talented high school and middle school students, as well as high school and college instructors, and anyone who enjoys solving elementary math problems as a hobby.

Format: Hardback
Length: 578 pages
Publication date: 17 February 2022
Publisher: Springer Nature Switzerland AG

This comprehensive textbook delves into the intricate transformations of plane Euclidean geometry, offering a transformative perspective on a wide range of problems that have emerged in recent mathematics competitions worldwide. Drawing from the combined teaching expertise of the authors, who have coached numerous Mathematical Olympiad teams in Brazil, Romania, and the USA, the book provides in-depth theoretical discussions on isometries, homotheties, spiral similarities, and inversions, all accompanied by illustrative examples and an abundance of challenging problems for the reader to solve. Carefully selected and meticulously arranged, these problems progress from basic to expert levels, gradually introducing students to the core concepts of geometric transformations.

Many of these problems have been featured in prestigious competitions like the Mathematical Olympiads or in mathematical journals tailored to enthusiasts of mathematics competitions. Additionally, the book offers a global perspective on the geometric content of today's mathematics competitions, introducing innovative methods and ideas to a broader audience. Talented high school and middle school students seeking to enhance their problem-solving abilities can greatly benefit from this resource, as can high school and college instructors looking to incorporate nonstandard questions into their courses. Furthermore, individuals who derive pleasure from solving elementary math problems as a hobby will also find this work captivating.

Weight: 1022g
Dimension: 160 x 241 x 41 (mm)
ISBN-13: 9783030891169
Edition number: 1st ed. 2022