Parsimony methods -- Counting evolutionary changes -- How many trees are there? -- Finding the best tree by heuristic search -- Finding the best tree : branch and bound -- Ancestral states and branch lengths -- Variants of parsimony -- Compatibility -- Statistical properties of parsimony -- A digression on history and philosophy -- Distance matrix methods -- Quartets of species -- Models of DNA evolution -- Models of protein evolution -- Restriction sites, RAPDS, and microsatellites -- Likelihood methods -- Hadamard methods -- Bayesian inference of phylogenies.