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There is a great book called "Elements of Statistical Learning" by Hastie, Tibshirani, and Friedman which describes in detail classification and regression trees and many other data mining methods. You can buy the book or download it in pdf. The link is:
Isn't it funny that CART is one of the best algorithms 27 years after it was introduced? :-)
Logistic regression has similar story - very old and very useful for today's problems.
If you want to improve accuracy learn more about ensembles - boosting, bagging, adaboost, random forests. But don't expect miracles, they all improve CART's performance by relatively small margin. And all got some pros&cons.
http://www.salford-systems.com/doc/newhybridmethods.pdf - here's nice presentation about CART, only 13 years old, but really worth reading.