Theoretical computer science

Theoretical computer science


Theoretical computer science is a subset of general computer science and mathematics that focuses on mathematical topics of computing and includes the theory of computation.

Theoretical computer science community deals with various topics such as algorithms, data structures, computational complexity, parallel and distributed computation, probabilistic computation, quantum computation, automation theory, information theory, cryptography, program semantics and verification, machine learning, computational biology, computational economics, computational geometry, and computational number theory, and algebra.

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Mathematical statistics

Mathematical statistics


If you are mathematical statistician then you must be dealing with the application of mathematics to statistics. Mathematical techniques which are used for this include mathematical analysis, linear algebra, stochastic analysis, differential equations, and measure-theoretic probability theory.

Mathematical statistics include the field of marketing, economics, biology, public health, sports, medicines and many others. It can be used in scientific research field such as economics, medicine, demography, psychology, advertising, etc.

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Mathematical logic

Mathematical logic


Mathematical logic is a subfield of mathematics exploring the applications of formal logic to mathematics. These unifying themes include the study of the expressive power of formal systems and the deductive power of formal proof systems.

Mathematical logic is often divided into the fields of set theory, model theory, recursion theory, and proof theory.

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Mathematics

Mathematics


Mathematical science deals with quantity (numbers), structure, space and change. Mathematicians seek out patterns and utilize them to formulate new conjectures. They resolve the truth or falsity of conjectures by proof.  Mathematics plays an important role in many fields, such as natural science, engineering, medicine, finance and the social science. Applied mathematics deals with statistics and game theory.

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Logic

Logic


The concept of logical science is central to logic. Logic science teaches that validity of an argument is determined by its logical form, not by its content. It further segregate in to various branches such as informal logic, formal logic, symbolic logic and mathematical logic.

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