This great paper cannot be described without a good deal of mathematical analysis; but the student who has read the earlier thermodynamical papers of Thomson will have little difficulty in mastering it.
A similar statement might be made in regard to other theories included in mathematical analysis, such, for instance, as the theory of infinite series.
None of these novelties account for the far-reaching effect which this memoir has had upon the development of mathematical analysis.
The infinitesimal calculus is the body of rules and processes by means of which continuously varying magnitudes are dealt with in mathematical analysis.
By a series of well-chosen experiments Ampere established the laws of this mutual action, and not only explained observed facts by a brilliant train of mathematical analysis, but predicted others subsequently experimentally realized.
Green's Essay on the Application of Mathematical Analysis to the Theories of Electricity and Magnetism, published in 1828, contains the first exposition of the theory of potential.
This fact and hypothesis brought electrical phenomena within the domain of mathematical analysis and, as already mentioned, Laplace, Biot, Poisson, G.
In a word, by the powerful instrumentality of mathematical analysis, the physical universe was again established on a demonstrably firm foundation.
The constant object of Laplace was the explanation of the great phenomena of nature according to inflexible principles of mathematical analysis.
Fortunately for the scientific honor of our country, mathematical analysis also is a powerful instrument.
It was to this cherished pupil, who always remained his friend and benefactress, that Viete dedicated his important work on mathematical analysis entitled In Artem Analyticam Isagoge.
The question has to be brought before the tribunal of mathematical analysis, where every element in the case is duly taken into account.
Great as was the success of the eminent French mathematician who made these beautiful discoveries, it was left for this century to witness the crowning triumph of mathematical analysis applied to the law of gravitation.
Leonid orbit to those of the principal planets, and illustrates a curious chapter in the history of the meteor swarm that has been worked out by mathematical analysis, and is probably a pretty good account of what actually befell them.
It was necessary, in fine, that the tables of those bodies should acquire all desirable and necessary precision, that Laplace should introduce into the midst of them the torch of mathematical analysis.
Researches of this nature exhibit in full relief the power of mathematical analysis.
Finally, by the powerful instrumentality of mathematical analysis, the physical universe was again established on a firm foundation.
We must not suppose that, because it admits the application of mathematical analysis, it is therefore a purely logical science, independent of observation.
The effects of heat are subject to constant laws which cannot be discovered without the aid of mathematical analysis.
Mathematical analysis is, then, the true rational basis of the entire system of our actual knowledge.
The above list will hopefully provide you with a few useful examples demonstrating the appropriate usage of "mathematical analysis" in a variety of sentences. We hope that you will now be able to make sentences using this group of words.
