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Home > Karl Weierstraß

He was born in Ostenfelde , Westphalia (today Germany) and died in Berlin, Germany.

1 See also

• Bolzano-Weierstrass theorem
  • Heine-Borel theorem
• Stone-Weierstrass theorem
• Weierstrass-Casorati theorem
• Weierstrass's elliptic functions
• Weierstrass function
• Weierstrass M-test
• Weierstrass preparation theoremIn mathematics, the Weierstrass preparation theorem is a tool for dealing with analytic functions of several complex variables, at a given point P. It states that such a function is, up to multiplication by a function not zero at P, a polynomial in one fi
• Lindemann-Weierstrass theoremIn mathematics, the Lindemann-Weierstrass theorem states that if α,. alpha; are algebraic numbers which are linearly independent over the rational numbers, then are algebraically independent over the algebraic numbers; in other words the set has tra

2 External links

• Biography
• University of St Andrews' page
• Weierstraß' students
• Digitalized versions of Weierstraß' original publications are freely available online from the library of the Berlin Brandenburgische Akademie der Wissenschaften.

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Weierstrass-Casorati theoremComplex analysis Theorems The Weierstrass-Casorati theorem in complex analysis describes the remarkable behavior of holomorphic functions near essential singularities. Start with an open subset U of the complex plane containing the number z and a holomorp Weierstrass preparation theoremIn mathematics, the Weierstrass preparation theorem is a tool for dealing with analytic functions of several complex variables, at a given point P. It states that such a function is, up to multiplication by a function not zero at P, a polynomial in one fi Weierstrass functionIn mathematics, the Weierstrass function was the first example found of a function with the property that it is continuous everywhere but differentiable nowhere. It turns out that almost all continuous functions are nowhere differentiable, and that this p Weierstrass M-testIn mathematics, the Weierstrass M-test is an analogue of the comparison test for infinite series, and applies to a series whose terms are themselves functions of a real variable. Suppose is a sequence of complex-valued functions defined on a subset , and Weierstrass's elliptic functionsIn mathematics, Weierstrass introduced some particular elliptic functions that have become the basis for the most standard notations used. Definitions Consider two complex numbers and , with not purely real; the definition depends on these. There are some