View Poll Results: For those who have used this book  
Strongly Recommend  4  66.67%  
Lightly Recommend  2  33.33%  
Lightly don't Recommend  0  0%  
Strongly don't Recommend  0  0%  
Voters: 6. You may not vote on this poll 
Register to reply 
Geometry Geometry Revisited by Coxeterby micromass
Tags: None 
Share this thread: 
#1
Jan2413, 11:13 AM

Mentor
P: 18,346

Table of Contents:



#2
Jan2513, 07:32 PM

P: 352

Good for high school math competitions. Almost all the topics are not covered in a standard high school math course.



#3
Jan2913, 04:48 AM

P: 53

The Book is used for AMC VIII to AMC XII.The best book ever written for Mathematics Olympiad Geometry.



#4
Feb1413, 12:32 PM

P: 350

Geometry Revisited by Coxeter
It seems that the best thing people can say about this book is that it helps you to win high school math competitions.
I read this book after finishing my undergraduate degree in mathematics. I found it enjoyable, but I preferred Coxeter's Introduction to Geometry because it had more depth and breadth. 


#5
Feb1413, 03:18 PM

Sci Advisor
HW Helper
P: 9,495

I agree. I am not nuts about this book. Winning contests involves using facts that you may not understand fully how to prove. This book is like that. E.g. the discussion of the "power of the point" claims correctly that this theorem of Euclid is an easy corollary of the principle of similarity. True enough.
However what they do not mention is that the theory of similarity is quite deep, and was not available to Euclid when he proved this theorem, so he gave a different proof using Pythagoras. Indeed if one uses Euclid's proof, then one can use this result to deduce the important principle of similarity without going to as much difficulty as is usually done. If like me you are interested in the logical connections between different results, then you believe in doing them in logical order, not assuming the most difficult and deep ones first without justification, and then using them to make other results appear easy. If however you want to solve contest problems quickly, then you want to use all the big guns available on the littlest peanut problems, in order to dispatch them in enough time to finish the test with the highest possible score. There is no harm in this, and I was myself so motivated in high school, but not so much any more. 


#6
Feb2413, 05:15 PM

P: 948

the only thing I remember about this book is it's the place where I found out how to solve the 3 jugs problem using barycentric coordinates:
http://www.cuttheknot.org/triangle/glasses.shtml 


Register to reply 
Related Discussions  
The FCT revisited  Differential Geometry  0  
LaTeX: Drawing Coxeter/Dynkin graph  Linear & Abstract Algebra  2  
Oil Revisited  General Physics  2  
Oil Revisited  General Physics  2  
X^y=y^x REVISITED  General Math  3 