ANALYSIS, in Mathematics, is properly the method of resolving problems by means of algebraical equations, whence we often find that these two words, analysis and algebra, are used as synonymous. Analysis is divided, with regard to its object, into that of finite and infinite. Analysis of Finite Quantities is what we otherwise call specious arithmetic or algebra. Analysis of Infinites, called also the New Analysis, is particularly used for the method of fluxions, or the differential calculus.