The best geometry textbook hasn't changed for more than 2000 years.
Mathematics textbooks are just as likely as anything else to suffer from modern pedagogical theories that have not been tested by time and will come to be regarded as mistakes.
Mathematics textbooks are just as likely as anything else to suffer from modern pedagogical theories that have not been tested by time and will come to be regarded as mistakes.
It's the one with the most historical importance, but it hardly covers modern geometry.
I would argue that the fact that it does not cover modern geometry is exactly what makes it valuable. Learning is best as a process of rediscovery.
Not only do you learn geometry, but you participate in the same understanding of geometry that all later mathematicians started from.
I've always encouraged reading Euclid, Newton, Einstein. In my humble opinion, mathematics is much easier to understand historically, as it developed, and the best historical perspective comes from primary sources.
I must acknowledge, however, that for whatever reason very few people share my perspective on this.