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....

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...

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

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

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...

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...

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

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

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...

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...

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

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

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...

In convex analysis, Danskin's theorem is a theorem which provides information about the derivatives of a function of the form f ( x ) = max z ∈ Z ϕ ( x...

In complex analysis, a branch of mathematics, Bloch's theorem describes the behaviour of holomorphic functions defined on the unit disk. It gives a lower...

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...

loge(x). In analytic number theory, Mertens' theorems are three 1874 results related to the density of prime numbers proved by Franz Mertens. In the following...

The Riemann–Roch theorem is an important theorem in mathematics, specifically in complex analysis and algebraic geometry, for the computation of the dimension...

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

numerous applications to extremal problems, optimisation and limit theorems in probability theory. The moment problem has applications to probability theory...

Algebra by Bartel Leendert van der Waerden, the Problems and Theorems in Analysis by George Pólya and Gábor Szegő, the introduction to the theory of Fourier...

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...

In mathematics, the Lions–Lax–Milgram theorem (or simply Lions's theorem) is a result in functional analysis with applications in the study of partial...