To analyse means to break something down into its constituent parts.
Analytic philosophy attempts to clarify, by analysis, the meaning of statements and concepts.
Analytic philosophy has been important in the in the English speaking academic world since the beginning of the 20th century. Continental' philosophy took off in an Idealist direction with Hegel, took an existentialist turn via Nietzsche and Heidegger and entered a less certain phase with post-structuralism. Frege wanted to put a rigorous logic at the heart of philosophy. He was influential in the philosophy of mathematics, logic and language. He thought that the basis for mathematics could be securely derived from logic and that a rigorous analysis of the underlying logic of sentences would enable us to judge their truth-value.