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Há 4 dias · Nesta aula estudamos as definições de conjuntos infinitos e finitos, seguindo o matemático alemão Richard Dedekind. Demonstramos várias de suas propriedades ...
- 54 min
- 80
- Napo Math
Há 2 dias · Una vez demostrado que el cardinal del continuo c (el infinito de los números reales) es mayor que aleph-zero (el infinito de los números naturales), George Cantor se planteó, como puede observarse en su correspondencia con su colega, el matemático alemán Richard Dedekind (1831-1916), si el plano (dimensión 2) tiene una mayor cantidad de puntos que la recta (dimensión 1), es decir, si ...
Há 2 dias · In the spring, he got engaged to Vally Guttmann, and they went to Switzerland for their honeymoon, which Cantor spent partly visiting German mathematician Richard Dedekind. By 1877, their discussions led Cantor to the discovery that there is a one-to-one correspondence between points on the interval and points in p-dimensional space.
Há 1 dia · The definition of real numbers as Dedekind cuts was first published by Richard Dedekind in 1872. The above approach to assigning a real number to each decimal expansion is due to an expository paper titled "Is 0.999 ... = 1?" by Fred Richman in Mathematics Magazine.
Há 2 dias · David Hilbert • “On the Infinite” (1925) Finally, let us recall our real subject and, so far as the infinite is concerned, draw the balance of all our reflections.
Há 3 dias · In particular, she developed a completely new theory of ideals in rings, generalizing the earlier work of Richard Dedekind. She is also renowned for developing ascending chain conditions - a simple finiteness condition that yielded powerful results in her hands. [152]
Há 6 dias · The Vorlesungen can be seen as a watershed between the classical number theory of Fermat, Jacobi and Gauss, and the modern number theory of Dedekind, Riemann and Hilbert. Dirichlet does not explicitly recognise the concept of the group that is central to modern algebra , but many of his proofs show an implicit understanding of group ...
