from The American Heritage® Dictionary of the English Language, 4th Edition
- n. The study of the measurement, properties, and relationships of quantities and sets, using numbers and symbols.
from Wiktionary, Creative Commons Attribution/Share-Alike License
- n. An abstract representational system used in the study of numbers, shapes, structure and change and the relationships between these concepts.
- n. A person's ability to count, calculate, and use different systems of mathematics at differing levels.
from the GNU version of the Collaborative International Dictionary of English
- n. That science, or class of sciences, which treats of the exact relations existing between quantities or magnitudes, and of the methods by which, in accordance with these relations, quantities sought are deducible from other quantities known or supposed; the science of spatial and quantitative relations.
from The Century Dictionary and Cyclopedia
- n. The science of quantity; the study of ideal constructions (often applicable to real problems), and the discovery thereby of relations between the parts of these constructions, before unknown.
from WordNet 3.0 Copyright 2006 by Princeton University. All rights reserved.
- n. a science (or group of related sciences) dealing with the logic of quantity and shape and arrangement
A reflection of their fundamental philosophy, the Pythagoreans invented the term mathematics, from the Greek word mathema, which meant “science.”
Considered a child prodigy, he went to Harvard and graduated, then he got his PhD in mathematics from the University of Michigan.
Education: Bachelor's degree in mathematics from the University of Delhi and an MBA in marketing and finance from the Indian Institute of Management-Ahmedabad.
Regarding an underlying mathematical edifice, a possible analogy in mathematics is the existence of non-computable numbers, these numbers have no deterministic, no algorithmic description, yet they exist.
Only a philosophical topology, analogous to what in mathematics is defined as analysis situ (analysis of site), in opposition to analysis magnitudinis
The question asked which branch of mathematics comes from the Greek word for reunite.
We compose our systems of music, which we call mathematics, that are model systems of internal consistency.
Society, who, accepting Bacon's demand for certainty and not finding it in the hypothetical physics, empha - sized the necessity for a more Archimedean approach: what they called mathematics and what today might be termed mathematical physics.
Things which may at first sight appear comparatively valueless in education -- such as the study of the dead languages, and the relations of lines and surfaces which we call mathematics -- are really of the greatest practical value, not so much because of the information which they yield, as because of the development which they compel.
I will now explain my meaning by literal examples, leaving aside all purely abstract reasoning, which I call the mathematics of thought.