Problems and Theorems in Analysis (German: Aufgaben und Lehrsätze aus der Analysis) is a two-volume problem book in analysis by George Pólya and Gábor...

(2 volumes), by Isidor Natanson Problems in Mathematical Analysis, by Boris Demidovich Problems and Theorems in Analysis (2 volumes), by George Pólya, Gábor...

Szegő two influential problem books, Problems and Theorems in Analysis (I: Series, Integral Calculus, Theory of Functions and II: Theory of Functions...

ISBN 3-7643-3063-5 Pólya, George; Szegő, Gábor (1972) [1925], Problems and Theorems in Analysis, 2 Vols, Springer-Verlag Szegő, Gábor (1933), Asymptotische...

In the analysis of algorithms, the master theorem for divide-and-conquer recurrences provides an asymptotic analysis for many recurrence relations that...

Gödel's incompleteness theorems are two theorems of mathematical logic that are concerned with the limits of provability in formal axiomatic theories....

der Analysis, Bd 2. Springer, Berlin. OCLC 73165700. English translation in: Pólya, George; Szegő, Gábor (2004). Problems and theorems in analysis, volume...

Raymond Paley (1907–1933) and Norbert Wiener (1894–1964) who, in 1934, introduced various versions of the theorem. The original theorems did not use the language...

In mathematical analysis, the Hilbert–Schmidt theorem, also known as the eigenfunction expansion theorem, is a fundamental result concerning compact, self-adjoint...

The Sokhotski–Plemelj theorem (Polish spelling is Sochocki) is a theorem in complex analysis, which helps in evaluating certain integrals. The real-line...

automated reasoning and mathematical logic dealing with proving mathematical theorems by computer programs. Automated reasoning over mathematical proof was a...

Gödel's incompleteness theorems are very similar to those raised by the halting problem, and the proofs are quite similar. In fact, a weaker form of the...

the mathematical recurrences that appear in the analysis of divide and conquer algorithms where the sub-problems have substantially different sizes. It...

In complex analysis, the residue theorem, sometimes called Cauchy's residue theorem, is a powerful tool to evaluate line integrals of analytic functions...

subsequently proven by others and credited as theorems of Fermat (for example, Fermat's theorem on sums of two squares), Fermat's Last Theorem resisted proof, leading...

still an extremely long case analysis. In 2005, the theorem was verified by Georges Gonthier using a general-purpose theorem-proving software. The coloring...

program. The theorem generalizes the undecidability of the halting problem. It has far-reaching implications on the feasibility of static analysis of programs...

Mergelyan's theorem is a result from approximation by polynomials in complex analysis proved by the Armenian mathematician Sergei Mergelyan in 1951. Let...

traditional envelope theorems. Paul Milgrom and Ilya Segal (2002) observe that the traditional envelope formula holds for optimization problems with arbitrary...

This is a list of notable theorems. Lists of theorems and similar statements include: List of algebras List of algorithms List of axioms List of conjectures...

whether (or in what way) these theorems answer Hilbert's second problem. Simpson (1988) argues that Gödel's incompleteness theorem shows that it is not possible...

In mathematical logic, the compactness theorem states that a set of first-order sentences has a model if and only if every finite subset of it has a model...

University of Cambridge. Notes György Polya and Gábor Szegö. (1976). Problems and theorems in analysis, volume 1. Springer-Verlag, New York. ISBN 0-387-05672-6...

through its endpoints. It is one of the most important results in real analysis. This theorem is used to prove statements about a function on an interval...

for law and other non-technical fields can provide a similar function. George Pólya and Gábor Szegő (1925) Problems and Theorems in Analysis (German:...

A083648 in the OEIS) and (sequence A073009 in the OEIS) Pólya, George; Szegő, Gábor (1998), "Part I, problem 160", Problems and Theorems in Analysis, Springer...

restriction is continuous. Closed graph theorem (functional analysis) – Theorems connecting continuity to closure of graphs Densely defined operator – Function...

rule in differentiation Sum rule in integration Sylow theorems Transcendence of e and π (as corollaries of Lindemann–Weierstrass) Tychonoff's theorem (to...

In discrete mathematics, Schur's theorem is any of several theorems of the mathematician Issai Schur. In differential geometry, Schur's theorem is a theorem...

and their integrals. Translated by Frances Hardcastle. Cambridge: MacMillan and Bowes. Pólya, George; Szegő, Gábor (1978). Problems and theorems in analysis...