# How to use *Pure-mathematics* in a sentence

As results of Roberval's labours outside the department of

**pure mathematics**may be noted a work on the system of the universe, in which he supports the Copernican system and attributes a mutual attraction to all particles of matter; and also the invention of a special kind of balance which goes by his name.For

**pure mathematics**he had a special gift - almost a passion.In

**pure mathematics**the hypotheses which a set of entities are to satisfy are given, and a group of interesting deductions are sought.This survey of the existing developments of

**pure mathematics**confirms the conclusions arrived at from the previous survey of the theoretical principles of the subject.In the next and last period the progress of

**pure mathematics**has been dominated by the critical spirit introduced by the German mathematicians under the guidance of Weierstrass, though foreshadowed by earlier analysts, such as Abel.AdvertisementThis double cultivation of his scientific powers had the happiest effect on his subsequent work; for the greatest achievements of Riemann were effected by the application in

**pure mathematics**generally of a method (theory of potential) which had up to this time been used solely in the solution of certain problems that arise in mathematical physics.In the advancement of almost every branch of

**pure mathematics**Lagrange took a conspicuous part.It is, however, his works in

**pure mathematics**that are the permanent monuments of his fame.Pascal's work as a natural philosopher was not less remarkable than his discoveries in

**pure mathematics**.He was called to the bar in 1849, and remained at the bar fourteen years, till 1863, when he was elected to the new Sadlerian chair of

**pure mathematics**in the university of Cambridge.AdvertisementIn

**pure mathematics**he enlarged the resources of analysis by the invention of Bessel's Functions.At the commencement of his new career he enriched the academical collection with many memoirs, which excited a noble emulation between him and the Bernoullis, though this did not in any way affect their friendship. It was at this time that he carried the integral calculus to a higher degree of perfection, invented the calculation of sines, reduced analytical operations to a greater simplicity, and threw new light on nearly all parts of

**pure mathematics**.Jacobi and other mathematicians have developed to a great extent, and as a question of

**pure mathematics**only, Hamilton's processes, and have thus made extensive additions to our knowledge of differential equations.Playfair's contributions to

**pure mathematics**were not considerable, his paper "On the Arithmetic of Impossible Quantities," that "On the Causes which affect the Accuracy of Barometrical Measurements," and his Elements of Geometry, all already referred to, being the most important.It is known that he purchased prisms and lenses on two or three several occasions, and also chemicals and a furnace, apparently for chemical experiments; but he also employed part of his time on the theory of fluxions and other branches of

**pure mathematics**.AdvertisementHe argues in the first book against the innateness of our knowledge of God and of morality; yet in the fourth book he finds that the existence of God is demonstrable, being supported by causal necessity, without which there can be no knowledge; and he also maintains that morality is as demonstrable as

**pure mathematics**.The farreaching discoveries of Sylvester and Cayley rank as one of the most important developments of

**pure mathematics**.The content consists of a number of strands of

**pure mathematics**with associated applications.Part of the appeal of Suze Orman is that her approach to financial management goes beyond

**pure mathematics**.