Geometria intuitiva. Complemento: I primi fondamenti della topologia di Pavel S. Aleksandrov

by David Hilbert, Stefan Cohn-Vossen

Come dice il titolo, in questo libro, la cui ossatura è costituita da un corso di lezioni tenute nel 1920-21 a Göttingen, redatte con modifiche e aggiunte da Stefan Cohn-Vossen, Hilbert espone gli argomenti della geometria per mezzo di concetti intuitivi e della diretta esperienza spaziale delle forme, senza servirsi dell’analisi matematica neppure per quelle parti della geometria per cui si usa ricorrere esclusivamente al calcolo. Completa il volume il contributo di Pavel S. Aleksandrov su "I primi fondamenti della topologia", appositamente scritto nel 1932.

524 pages, Paperback

Published January 1, 2001

About the author

David Hilbert (23 January 1862 – 14 February 1943) was a German mathematician and one of the most influential mathematicians of the 19th and early 20th centuries. Hilbert discovered and developed a broad range of fundamental ideas in many areas, including invariant theory, the calculus of variations, commutative algebra, algebraic number theory, the foundations of geometry, spectral theory of operators and its application to integral equations, mathematical physics, and the foundations of mathematics (particularly proof theory).

Hilbert adopted and defended Georg Cantor's set theory and transfinite numbers. In 1900, he presented a collection of problems that set the course for much of the mathematical research of the 20th century.

Hilbert and his students contributed significantly to establishing rigor and developed important tools used in modern mathematical physics. Hilbert is known as one of the founders of proof theory and mathematical logic.