Geometric Transformations II (New Mathematical Library)

by I. M. Yaglom (Author), Allen Shields (Translator)

3 customer reviews

ISBN-13: 978-0883856215

ISBN-10: 0883856212

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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.

Geometric Transformations II (New Mathematical Library)

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Product Details

Series: New Mathematical Library (Book 21)
Paperback: 189 pages
Publisher: Random House (June 1968)
Language: English
ISBN-10: 0883856212
ISBN-13: 978-0883856215
Product Dimensions: 0.5 x 6 x 9 inches
Shipping Weight: 11.2 ounces
Average Customer Review: 4.3 out of 5 stars See all reviews (3 customer reviews)
Amazon Best Sellers Rank: #2,260,611 in Books (See Top 100 in Books)
- #1306 in Books > Textbooks > Science & Mathematics > Mathematics > Geometry
- #2478 in Books > Science & Math > Mathematics > Geometry & Topology

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Customer Reviews

4.3 out of 5 stars

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7 of 7 people found the following review helpful

Good book for highschool students

By Jon L. on September 23, 2001

Format: Paperback

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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3 of 3 people found the following review helpful

Simple, but elegant

By Mauro Fiorentini on January 3, 2007

Format: Paperback

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.

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2 of 2 people found the following review helpful

Problem solving for Olympians

By J. Bogaarts on December 3, 2007

Format: Paperback Verified Purchase

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.

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