Geometric Transformations II (NEW MATHEMATICAL LIBRARY) by I. M. Yaglom (PDF)

Description

This book is the sequel to Geometric Transformations I which appeared in this series in 1962. Part I treas length-preserving transformations, this volume treats shape-preserving transformations; and Part III treats affine and protective transformations. These classes of transformations play a fundamental role in the group-theoretic approach to geometry. As in the previous volume, the treatment is direct and simple. The introduction of each new idea is supplemented by problems whose solutions employ the idea just presented, and whose detailed solutions are given in the second half of the book.

User’s Reviews

Editorial Reviews: About the Author Issac Moisevitch Yaglom graduaed from Sverdlovsk University in 1942 and received his Candidate’s Degree in 1945. He then moved onto Moscow State Pedagogical Institute since 1957.

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐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 second of three books, it deals with similarity transformations.These are great books for problem solving.

⭐Great shape as described.

⭐The book uses only basic notions to show the power of simple geometric transformations. Theorems (some simple, some not so obvious) are demonstrated by means of rotation, reflexion, stretching, in a very elegant way.Can be enjoyed from High school level up.With Geometric Transformations I it is a masterpiece of elegance, split into two books.

⭐I’m taking a course on competitive problem solving at a local college for high school students. We are starting out by going through the series of geometric transformations by Yaglom. The lessons are quite easy to understand and the problems are very good. I started the books without a clue on how to start the problems and now I can solve pretty much all of them… so the book must be doing its job pretty well.

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