I just found a paper called Top 10 algorithms in data mining. By mixture of expert committee and voting the IEEE International Conference on Data Mining (ICDM) identified the 10 most imfuential data mining algorithms. These are C4.5, k-means, support vector machine, Apriori, expectation maximization, page rank, AdaBoost, k-nearest neighbors, Naive Bayes, and CART. Algorithms are explained in the paper.
For other resources, if you only want a very short first introduction start from the wikipedia article. One of the reference books on data mining is Pattern Classification by Duda and Hart.
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