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Geometric Transformations II (New Mathematical Library) (Bk. 2)
 
 
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Geometric Transformations II (New Mathematical Library) (Bk. 2) [Paperback]

I. M. Yaglom (Author)
4.3 out of 5 stars  See all reviews (3 customer reviews)


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Book Description

0883856212 978-0883856215 June 1968
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.



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.

Product Details

  • Paperback: 197 pages
  • Publisher: Mathematical Assn of Amer (June 1968)
  • Language: English
  • ISBN-10: 0883856212
  • ISBN-13: 978-0883856215
  • Product Dimensions: 8.8 x 5.9 x 0.6 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: #631,643 in Books (See Top 100 in Books)

 

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Average Customer Review
4.3 out of 5 stars (3 customer reviews)
 
 
 
 
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7 of 7 people found the following review helpful:
4.0 out of 5 stars Good book for highschool students, September 23, 2001
By 
Jon L. (indianapolis, indiana United States) - See all my reviews
This review is from: Geometric Transformations II (New Mathematical Library) (Bk. 2) (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:
4.0 out of 5 stars Simple, but elegant, January 3, 2007
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This review is from: Geometric Transformations II (New Mathematical Library) (Bk. 2) (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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1 of 1 people found the following review helpful:
5.0 out of 5 stars Problem solving for Olympians, December 3, 2007
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This review is from: Geometric Transformations II (New Mathematical Library) (Bk. 2) (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 second of three books, it deals with similarity transformations.

These are great books for problem solving.
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Inside This Book (learn more)
First Sentence:
In the introduction to the first volume we defined geometry as the study of those properties of figures that are not changed by motions; motions were defined as transformations that do not change the distance between any two points of the figure (see pp. 10-11 of Volume One). Read the first page
Key Phrases - Capitalized Phrases (CAPs): (learn more)
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