The complete analytical treatment was first given by Leonhard Euler.
He appears to have attended Dirichlet's lectures on theory of numbers, theory of definite integrals, and partial differential equations, and Jacobi's on analytical mechanics and higher algebra.
The Mecanique celeste is, even to those most conversant with analytical methods, by no means easy reading.
The essential point in his advance on Euler's mode of investigating curves of maximum or minimum consisted in his purely analytical conception of the subject.
Analytical Chemistry This branch of chemistry has for its province the determination of the constituents of a chemical compound or of a mixture of compounds.
In England this branch of chemistry is especially cared for by the Institute of Chemistry, which, since its foundation in 1877, has done much for the training of analytical chemists.
The germs of analytical chemistry are to be found in the writings of the pharmacists and chemists of the iatrochemical period.
Brown's philosophy occupies an intermediate place between the earlier Scottish school and the later analytical or associational psychology.
In the preceding sketch we have given a necessarily brief account of the historical development of analytical chemistry in its main branches.
Fresenius, the founder of the Zeitschrift fiir analytische Chemie (1862), we are particularly indebted for perfecting and systematizing the various methods of analytical chemistry.
In general analytical work the standard solution contains the equivalent weight of the substance in grammes dissolved in a litre of water.
Thus a universal science of matter and motion was derived, by an unbroken sequence of deduction, from one radical principle; and analytical mechanics assumed the clear and complete form of logical perfection which it now wears.
By it his extraordinary analytical powers became strictly subordinated to physical investigations.
Such is the basis of the algebraical or modern analytical geometry.
This latter work included the differential and integral calculus, the calculus of variations, the theory of attractions, and analytical mechanics.
His fame rests upon his exposition of the principles necessary to chemistry as a secience, but of his contributions to analytical inorganic chemistry little can be said.
In analytical invention, and mastery over the calculus, the Turin mathematician was admittedly unrivalled.
Lagrange saw in the problems of nature so many occasions for analytical triumphs; Laplace regarded analytical triumphs as the means of solving the problems of nature.
Primary, secondary and spurious bows were formed, and their radii measured; a comparison of these observations exhibited agreement with Airy's analytical values.
Carrying on the same analytical method into the special department of moral philosophy, Green held that ethics applies to the peculiar conditions of social life that investigation into man's nature which metaphysics began.
It has the strength of an analytical treatise, the charm of a popular dissertation.
In the former the author sets forth the analytical process by which the laws he discovered were deduced from facts.