Geometric Transformations I (Number 8) (Bk. 1)
| Author | : | |
| Rating | : | 4.64 (952 Votes) |
| Asin | : | 0883856085 |
| Format Type | : | paperback |
| Number of Pages | : | 140 Pages |
| Publish Date | : | 0000-00-00 |
| Language | : | English |
DESCRIPTION:
Problem solving for Olympians 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. "Excellent step-by-step introduction to transformations" according to David Bakin. This book (first of three) is an excellent step-by-step introduction to some geometric transformations (in this volume: translations, reflections, and rotations) in the synthetic style (i.e., no algebra). The exercises are very good and full solutions are given to all. Lots of drawings to make everything easy to understand.I'm using this book to 'reintroduce' myself to geometry after being away from the study of mathematics for many years and it is great fu. "Transformations Review." according to gautam. This is an excellent introduction to geometric transformations. It is very useful for Competitions such as the AIME USAMO and IMO. Also, it is a great book for those interested in Mathematics.
Issac Moisevitch Yaglom graduated from Sverdlovsk University in 1942 and received his Candidate's Degree in 1945. He then moved onto the Moscow State Pedagogical Institute since 1957 and is the author of many scientific publications.
The problems form an essential part of this book and the solutions are given in detail in the second half of the book.. The treatment is direct and simple. It is concerned with transformations of the plane that do not alter the shapes and sizes of geometric figures. The reader is introduced to new ideas and then is urged to solve problems using these ideas. This book introduces the reader to a completely different way of looking at familiar geometrical facts. Almost everyoneis acquainted with plane Euclidean geometry as it is usually taught in high school. Such transformations play a fundamental role in the group theoretic approach to geometry
About the Author Issac Moisevitch Yaglom graduated from Sverdlovsk University in 1942 and received his Candidate's Degree in 1945. He then moved onto the Moscow State Pedagogical Institute since 1957 and is the author of many scientific publications.