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Geometric Transformations II (New Mathematical Library), by I. M. Yaglom
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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.
- Sales Rank: #2583755 in Books
- Brand: Brand: Mathematical Assn of Amer
- Published on: 1968-06
- Ingredients: Example Ingredients
- Original language: English
- Number of items: 1
- Dimensions: 9.00" h x 6.00" w x .50" l,
- Binding: Paperback
- 189 pages
- Used Book in Good Condition
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.
Most helpful customer reviews
8 of 8 people found the following review helpful.
Good book for highschool students
By Jon L.
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.
3 of 3 people found the following review helpful.
Simple, but elegant
By Mauro Fiorentini
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.
2 of 2 people found the following review helpful.
Problem solving for Olympians
By J. Bogaarts
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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