Universality theorems occupy a central role in analytic number theory, demonstrating that families of analytic functions—including the prototypical Riemann zeta-function—can approximate an extensive ...
Dmitri Goloubentsev, Evgeny Lakshtanov and Vladimir Piterbarg explain in mathematical terms, and demonstrate using a simple example, how the automatic implicit function theorem, a special version of ...
Two uniqueness theorems for harmonic functions of exponential growth are proved. The first is a generalization to $R^n$ of a theorem proved by Boas [1] for $R^2 ...
A continuation of the authors' Calculus with analytic geometry, a first course. Solid analytic geometry -- Vectors in three dimensions -- Elements of infinite series -- Partial differentiation -- ...
In the Introduction to the Derivative video we introduce the notion of the derivative of a function and explain how the derivative captures the instantaneous rate of change of a function. In the ...
The GATE syllabus for Mathematics (MA) 2026 consists the questions from topics like Calculus, Linear Algebra, Real Analysis, Complex Analysis, Differential Equations, Algebra, Functional Analysis, etc ...