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Episodes in Nineteenth and Twentieth Century Euclidean Geometry (Anneli Lax New Mathematical Library), by Ross Honsberger
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Professor Honsberger has succeeded in 'finding' and 'extricating' unexpected and little known properties of such fundamental figures as triangles, results that deserve to be better known. He has laid the foundations for his proofs with almost entirely synthetic methods easily accessible to students of Euclidean geometry early on. While in most of his other books Honsberger presents each of his gems, morsels, and plums, as self contained tidbits, in this volume he connects chapters with some deductive treads. He includes exercises and gives their solutions at the end of the book. In addition to appealing to lovers of synthetic geometry, this book will stimulate also those who, in this era of revitalizing geometry, will want to try their hands at deriving the results by analytic methods. Many of the incidence properties call to mind the duality principle; other results tempt the reader to prove them by vector methods, or by projective transformations, or complex numbers.
- Sales Rank: #2107129 in Books
- Published on: 1995-01
- Original language: English
- Number of items: 1
- Dimensions: 8.98" h x .47" w x 6.06" l,
- Binding: Paperback
- 188 pages
Most helpful customer reviews
9 of 9 people found the following review helpful.
A great geometry book for Olympiad training!
By Bobby Poon (bobbypwh@hotmail.com)
Ross Honsberger presents the articles of modern euclidean geometric properties in a way that is easy to follow and understand. The method of proofs and development of ideas illustrate different solving strategies which is valuable for self-studying young students. With the help of simple diagrams, I found no difficulties in understanding the articles. Problems are well-graded with solutions are well-presented at the back. A MUST-READ book for students participating maths contest!
0 of 1 people found the following review helpful.
Book for Class
By Lyzette
Had to buy this book for my Geometry class. It was delivered quickly. Unfortunately we didn't even use it in class but it's still a great resource!
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