Space - Mathematics

Mathematics

In modern mathematics spaces are defined as sets with some added structure. They are frequently described as different types of manifolds, which are spaces that locally approximate to Euclidean space, and where the properties are defined largely on local connectedness of points that lie on the manifold. There are however, many diverse mathematical objects that are called spaces. For example, vector spaces such as function spaces may have infinite numbers of independent dimensions and a notion of distance very different to Euclidean space, and topological spaces replace the concept of distance with a more abstract idea of nearness.

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Other articles related to "mathematics":

Athanasius Kircher - Life
... At Heiligenstadt, he taught mathematics, Hebrew and Syriac, and produced a show of fireworks and moving scenery for the visiting Elector Archbishop of Mainz, showing early evidence of his ... He joined the priesthood in 1628 and became professor of ethics and mathematics at the University of Würzburg, where he also taught Hebrew and Syriac ... the rest of his life, and from 1638, he taught mathematics, physics and oriental languages at the Collegio Romano for several years before being released to devote himself to research ...
Otto Toeplitz - Life and Work
... Toeplitz's father and grandfather were mathematics teachers ... Toeplitz studied mathematics in the University of Breslau and was awarded a doctorate in algebraic geometry in 1905 ... Mathematics faculty included David Hilbert, Felix Klein, and Hermann Minkowski ...
Foundations Of Mathematics - Foundational Crisis - Philosophical Views - Logicism
... Logicism is one of the schools of thought in the philosophy of mathematics, putting forth the theory that mathematics is an extension of logic and therefore some or all mathematics is ...
Egon Zakrajšek
... He graduated from technical mathematics at the Department of mathematics and physics of then Faculty for natural sciences and technology (FNT) of the University of Ljubljana ... He taught and solved problems from many fields the usage of mathematics in natural and social sciences, statistics, mechanics, classical applied mathematics, discrete ...
Mathematics As Science
... Gauss referred to mathematics as "the Queen of the Sciences" ... Of course, mathematics is in this sense a field of knowledge ... the role of empirical experimentation and observation is negligible in mathematics, compared to natural sciences such as psychology, biology, or physics ...

Famous quotes containing the word mathematics:

    ... though mathematics may teach a man how to build a bridge, it is what the Scotch Universities call the humanities, that teach him to be civil and sweet-tempered.
    Amelia E. Barr (1831–1919)

    Mathematics alone make us feel the limits of our intelligence. For we can always suppose in the case of an experiment that it is inexplicable because we don’t happen to have all the data. In mathematics we have all the data ... and yet we don’t understand. We always come back to the contemplation of our human wretchedness. What force is in relation to our will, the impenetrable opacity of mathematics is in relation to our intelligence.
    Simone Weil (1909–1943)