This book is the sequel to Geometric Transfrmations I and II, volumes 8 and 21 in this series, but can be studied independently. It is devoted to the treatment of affine and projective transformations of the plane; these transformations include the congruences and similarities investigated in the previous volumes. The simple text and the many problems are designed mainly to show how the priniciples of affine and projective geometry may be used to furnish relatively simple solutions of large classes of problems in elementary geometry, including some straight edge construction problems. In the Supplement, the reader is introduced to hyperbolic geometry. The latter part of the book consists of detailed solutions of the problems posed throughout the text.
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About the Author
Issac Moisevitch Yaglom received his Candidate's Degree in 1945 from Sverdlovsk University. He went on to Moscow State Pedagogical Institute and is author of many scientific publications.
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5 of 5 people found the following review helpful:
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Problem solving for Olympians,
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This review is from: Geometric Transformations III (New Mathematical Library) (Bk. 3) (Paperback)
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.
0 of 3 people found the following review helpful:
5.0 out of 5 stars
lo más mejor que hay,
By Juan Domingo Petruzza "bob marvin" (Austin, TX USA) - See all my reviews
This review is from: Geometric Transformations III (New Mathematical Library) (Bk. 3) (Paperback)
Para fumarse un caño antes de leerlo. Los dos anteriores también se la bancan, pero hasta ahí.
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