Concept

Mathematical analysis

Overview

branch of mathematics

Overview adapted from Wikipedia (CC BY-SA 4.0; see the article history for authors).

Found by search and not yet checked by a person; they may only mention the idea in passing.

This _science_, although nearer perfection than any other, is really little advanced as yet, so that this object is rarely attained in a manner completely satisfactory. Mathematical analysis is, then, the true rational basis of the entire system of our actual knowledge. It constitutes the first and the most perfect of all the fundamental sciences.
Auguste Comte, The philosophy of mathematics
States what Mathematical analysis is; names Mathematical analysis.
Read the chapter · Open in the reader
The notion of continuity depends upon that of _order_, since continuity is merely a particular type of order. Mathematics has, in modern times, brought order into greater and greater prominence. In former days, it was supposed (and philosophers are still apt to suppose) that quantity was the fundamental notion of mathematics. But nowadays, quantity is banished altogether, except from one little corner of Geometry…
Bertrand Russell, Mysticism and Logic and Other Essays
States what Mathematical analysis is.
Read the chapter · Open in the reader
In this way I believed that I could borrow all that was best both in geometrical analysis and in algebra, and correct all the defects of the one by help of the other.
René Descartes, Discourse on the Method of Rightly Conducting One's Reason and of Seeking Truth in the Sciences
The author is tied to Mathematical analysis in the knowledge graph.
Read the chapter · Open in the reader