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Number Theory
Number theory is a vast and fascinating field of mathematics, sometimes called "higher arithmetic," consisting of the study of the properties of whole numbers. Primes and ...
A broad area of mathematics connected with functional analysis, differential equations, index theory, representation theory, and mathematical physics.
The branch of mathematics dealing with the efficient and accurate storage, transmission, and representation of information.
A branch of mathematics which encompasses many diverse areas of minimization and optimization. Optimization theory is the more modern term for operations research. ...
Coding theory, sometimes called algebraic coding theory, deals with the design of error-correcting codes for the reliable transmission of information across noisy channels. ...
Ergodic theory can be described as the statistical and qualitative behavior of measurable group and semigroup actions on measure spaces. The group is most commonly N, R, R-+, ...
The mathematical study of the scattering operator and Schrödinger equation.
The study of valuations which simplifies class field theory and the theory of function fields.
A generalization of calculus of variations which draws the relationship between the stationary points of a smooth real-valued function on a manifold and the global topology ...
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