zbMATH — the first resource for mathematics

Geometry Search for the term Geometry in any field. Queries are case-independent.
Funct* Wildcard queries are specified by * (e.g. functions, functorial, etc.). Otherwise the search is exact.
"Topological group" Phrases (multi-words) should be set in "straight quotation marks".
au: Bourbaki & ti: Algebra Search for author and title. The and-operator & is default and can be omitted.
Chebyshev | Tschebyscheff The or-operator | allows to search for Chebyshev or Tschebyscheff.
"Quasi* map*" py: 1989 The resulting documents have publication year 1989.
so: Eur* J* Mat* Soc* cc: 14 Search for publications in a particular source with a Mathematics Subject Classification code (cc) in 14.
"Partial diff* eq*" ! elliptic The not-operator ! eliminates all results containing the word elliptic.
dt: b & au: Hilbert The document type is set to books; alternatively: j for journal articles, a for book articles.
py: 2000-2015 cc: (94A | 11T) Number ranges are accepted. Terms can be grouped within (parentheses).
la: chinese Find documents in a given language. ISO 639-1 language codes can also be used.

a & b logic and
a | b logic or
!ab logic not
abc* right wildcard
"ab c" phrase
(ab c) parentheses
any anywhere an internal document identifier
au author, editor ai internal author identifier
ti title la language
so source ab review, abstract
py publication year rv reviewer
cc MSC code ut uncontrolled term
dt document type (j: journal article; b: book; a: book article)
The relativity of discovery: Hilbert’s first note on the foundations of physics. (English) Zbl 0926.01004
Hilbert’s article on “The Foundations of Physics (First Communication)” and Einstein’s note on “The Field Equations of Gravitation” are a famous example of a simultaneous discovery: both papers of November 1915 contain the same gravitational field equations of general relativity. In addition to recent publications on the interaction between Einstein and Hilbert at that time, the present article is focussed essentially on Hilbert. “The Foundations of Physics” is interpreted as a part of Hilbert’s research program of turning physics into a mathematical discipline based on an axiomatic foundation, a program that was by no means identical with Einstein’s intentions. The author presents convincing evidence that Abraham’s and Mie’s papers on the theory of the electron and Minkowski’s work on special relativity and four-dimensional electrodynamics strongly influenced Hilbert’s reorientation towards an electromagnetic world view. He also explains why there was a brief period of irritation between the two scientists, although neither the independence of Einstein’s discovery nor the originality of Hilbert’s derivation of the field equations have ever been a point of dispute or a problem of priority. In the last part of his paper, the author argues that Hilbert’s own justification of general covariance was based on arguments of internal mathematical coherency which were completely different from Einstein’s considerations. Hilbert’s contributions to the history of general relativity were conditioned by his vast knowledge of mathematics and contemporary theoretical physics, by the heuristics of his axiomatic method and by his belief in the unity of all mathematical sciences.
01A60Mathematics in the 20th century