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David Hilbert ( January 23, 1862 – February 14, 1943) was a German mathematician born in Wehlau , near Königsberg, Prussia (now Znamensk , near Kaliningrad, Russia) who is recognized as one of the most influential mathematicians of the 19th and early 20th centuries. His own discoveries alone would have given him that honor, yet it was his leadership in the field of mathematics throughout his later life that distinguishes him.1 Major contributions
Hilbert solved several important problems in the theory of invariants. Hilbert's basis theorem solved the principal problem in the 1800s invariant theory by showing that any form of a given number of variables and of a given degree has a finite, yet complete system of independent rational integral invariants and covariants.
He also unified the field of algebraic number theory with his 1897 treatise Zahlbericht (literally "report on numbers").
Famous for his ability to make discoveries in various mathematical fields, Hilbert went on to provide the first correct and complete axiomatization of Euclidean geometry to replace EuclidEuclid of Alexandria ( Greek: Eukleides (circa 365 275 BC) was a Greek mathematician, now known as "the father of geometry". His most famous work is the Elements widely considered to be history's most successful textbook. Within it, the properties of geom's axiomatization of geometryGeometry is the branch of mathematics dealing with spatial relationships. From experience, or possibly intuitively, people characterize space by certain fundamental qualities, which are termed axioms in geometry. Such axioms are insusceptible to proof, bu, in his 1899Events January events January 1 End of Spanish rule in Cuba. January 1 Queens and Staten Island merge with New York City. January 3 The first known use of the word " automobile", in an editorial in the New York Times''. January 6 Lord Curzon becomes a vic book Grundlagen der Geometrie ("Foundations of Geometry"). See Hilbert's axiomsDavid Hilbert's axioms are a set of 21 assumptions designed to form the foundation for a modern treatment of Euclidean geometry. The axioms were originally published in Grundlagen der Geometrie Foundations of Geometry in 1899. Postulates I. Axioms of Inci.
He also laid the foundations of functional analysisFunctional analysis Functional analysis is that branch of mathematics and specifically of analysis which is concerned with the study of spaces of functions. It has its historical roots in the study of transformations such as the Fourier transform and in t by studying integral equationIn mathematics, an integral equation is an equation in which an unknown function appears under an integral sign. There is a close connection between differential and integral equations, and some problems may be formulated either way. Integral equations ars and formulating a first version, in terms of quadratic formIn mathematics, a quadratic form is a homogeneous polynomial of degree two in a number of variables. For example, the distance between two points in three-dimensional Euclidean space is found by taking the square root of a quadratic form involving six vars in infinitely many variables, of what would be called Hilbert spaceIn mathematics, a Hilbert space is an inner product space that is complete with respect to the norm defined by the inner product. Hilbert spaces serve to clarify and generalize the concept of Fourier expansion, certain linear transformations such as the F. This work turned out in the 1920s to be foundational for quantum mechanics.
His interest in physics, in the decade 1900-1910, was not as important as later contacts with Albert Einstein and formulations of general relativity that helped its mathematical respectability (see also Einstein-Hilbert action).
Hilbert helped provide the basis for the theory of automata which was later built upon by computer scientist Alan Turing.
