MAA books for those who are interested in math. Geometry Revisited by H.S.M. Coxeter and S.L. Greitzer. Nov 9, In a book appeared with the widely embracing title Introduction to Geometry . Its author was H. S. M. Coxeter who, in the preface, said that. Cambridge Core – Geometry and Topology – Geometry Revisited – by H.S.M. Coxeter.
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Among the many beautiful and nontrivial theorems in geometry found here are the theorems of Ceva, Menelaus, Pappus, Desargues, Pascal, and Brianchon. A nice proof is given of Morley’s remarkable theorem on angle trisectors. The transformational point of view is emphasized: Many fascinating properties of circles, triangles, quadrilaterals, and conics are developed.
Would you like to tell us about a lower price? If you are a seller for this product, would you like to suggest updates through seller support? Among the many beautiful and nontrivial theorems in geometry found in Geometry Revisited are the theorems of Ceva, Menelaus, Pappus, Desargues, Pascal, and Brianchon. Read more Read less. Discover Prime Revisoted Box geoemtry Kids. Add both to Cart Add both to List. Buy the selected items together This item: Ships from and sold cozeter Amazon.
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Page 1 of 1 Start over Page 1 of 1. Functions and Graphs Dover Books on Mathematics. Review ‘The book is rich in remarkable facts and thereby is very effective in promoting the significance and the value of revisitev in mathematical teaching, a promotion which is very necessary. New Mathematical Library Book 19 Paperback: American Mathematical Society December 31, Language: I’d like to read this book on Kindle Don’t have a Kindle?
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There was a problem filtering reviews right now. Please try again later. It’s got coxeterr chapter on each of the following things: Maybe you’ve heard of it? This book gives a general method for solving problems like that using reflections.
I liked how each section is very short and typically has just theorems, so the book is split into manageable pieces. Maybe it’s just a psychological thing, but I like that.
Depending on the section, there are problems at the end of each section; like any book there are easy ones with fairly obvious solutions and there are hard ounes that take a lot of thought. It doesn’t matter though, this book gives you a lot of tools you can use to deal with olympiad-level problems. A couple good ones to work on after this book would be Johnson’s “Advanced Euclidean Geometry” and Court’s “College Geometry”, both out of print unfortunately but maybe a nearby library wold have them?
This book is short, concise, but the amount of material is really impressive! One of my top 5 books, ever. Good to have a second copy! Have no idea what this book is about but happy kid, happy mom. The book provides an in-depth explanation of some geometrical concepts that passed over my head in Geometry class, and the exercises in the book provide a fun activity to practice what has been learned. This, coupled with a wonderfully speedy delivery, made the product a wise purchase in my opinion.
It contains many advanced theorems Ceva, Menelaus, Pappus, etc and techniques geometry transformation including spiral similarity that are wildly used by those people making creative geometry contest problems. However, this book is not written as a typical textbook and you need to have some basic geometry foundation first.
For a typical America high school students I would recommend you read Kiselev’s Geometry book first available at [ Also for a more structured treatment of similar topics, I recommend “college geometry” by Nathan Altshiller-Court. A first-class introduction to pure geometry after the Greeks, covering developments from the 17th century to the middle 20th century. The material presented is well chosen. The proofs are very clear and easy to follow. The exercises are interesting because they usefully develop the material presented in the text and are neither too easy nor too hard.
This is a wonderful book if you want to gain a real understanding of what geometry can be if you like this book you should buy the biography of Coxeter: Donald Coxeter, the Man Who Saved Geometry” – it is one of the best biographies of a mathematician on the market and shows that Coxeter was a genius and a hoot.
However, if you know a significant amount of geometry, then try “Introduction to Geometry, 2nd Edition” as that is the more complete and very much more rigorous text. Also, if you like this book, then buy “Visual Complex Analysis”. My son is using this book in his high school geometry course at my insistence rather than the ‘text’ he was issued.
He is now assisting the teacher with the proofs and problems. This is one of my three favorite texts in Elementary Geometry, and the only one written in English.
It’s a multipurpose text. You will probably won’t cover these material at school, but if you are interested on math contests, or more serious geometry study, this is also a good text to follow to learn, or if you, like me, learned most of this material over a decade ago, but need a good text as a reference, this text is a great to do so.
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Geometry Revisited New Mathematical Library. Set up a giveaway. Customers who viewed this item also viewed. Painless Geometry Painless Series. Elementary Coxeyer for College Students. Introduction To Geometry 2e P. Pages with related products.
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GEOMETRY REVISITED H. S. M. Coxeter S. L. Greitzer
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