Customer Reviews

Geometric Transformations III (New Mathematical Library) (Bk. 3)

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The Yaglom geometric transformation books are aimed at a mathematical Olympiad audience. The books are not primarily about transformations, they are mainly about how to use transformations to solve problems. Yaglom wrote the book in Russian back in the fifties, presenting geometrical transformations techniques to geometric problem solving. He introduces transformation types and then shows how they can be used to solve problems that otherwise would sometimes be almost unsolvable using elementary (synthetic) methods. Then he presents a set of problems that vary from difficult to fiendish. Full solutions are provided, you will need them. The Russian book has chapters on congruence, similarity and projective transformations that are contained in the three English translations published by the MAA. It continues with sections on inversion transformations that are not (yet?) translated into English.

This is the third of three books, it presents projective transformations and how to use them to solve geometric problems in the euclidean domain. Although dealing with projective transformations it is definitely not a book on projective geometry. It does contain a section on non euclidean geometry but that deals mainly with hyperbolic geometry.

These are great books for problem solving.

Para fumarse un caño antes de leerlo. Los dos anteriores también se la bancan, pero hasta ahí.