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  2. Lists of mathematics topics - Wikipedia

    en.wikipedia.org/wiki/Lists_of_mathematics_topics

    Basic mathematics. This branch is typically taught in secondary education or in the first year of university. Outline of arithmetic. Outline of discrete mathematics. List of calculus topics. List of geometry topics. Outline of geometry. List of trigonometry topics. Outline of trigonometry.

  3. History of mathematics - Wikipedia

    en.wikipedia.org/wiki/History_of_mathematics

    e. The history of mathematics deals with the origin of discoveries in mathematics and the mathematical methods and notation of the past. Before the modern age and the worldwide spread of knowledge, written examples of new mathematical developments have come to light only in a few locales. From 3000 BC the Mesopotamian states of Sumer, Akkad and ...

  4. Mathematical model - Wikipedia

    en.wikipedia.org/wiki/Mathematical_model

    A mathematical model is an abstract description of a concrete system using mathematical concepts and language. The process of developing a mathematical model is termed mathematical modeling. Mathematical models are used in applied mathematics and in the natural sciences (such as physics, biology, earth science, chemistry) and engineering ...

  5. List of abstract algebra topics - Wikipedia

    en.wikipedia.org/wiki/List_of_abstract_algebra...

    Abstract algebra is the subject area of mathematics that studies algebraic structures, such as groups, rings, fields, modules, vector spaces, and algebras.The phrase abstract algebra was coined at the turn of the 20th century to distinguish this area from what was normally referred to as algebra, the study of the rules for manipulating formulae and algebraic expressions involving unknowns and ...

  6. Project Mathematics! - Wikipedia

    en.wikipedia.org/wiki/Project_Mathematics!

    Project Mathematics! (stylized as Project MATHEMATICS! ), is a series of educational video modules and accompanying workbooks for teachers, developed at the California Institute of Technology to help teach basic principles of mathematics to high school students. [1] In 2017, the entire series of videos was made available on YouTube .

  7. Langlands program - Wikipedia

    en.wikipedia.org/wiki/Langlands_program

    Langlands program. In representation theory and algebraic number theory, the Langlands program is a web of far-reaching and consequential conjectures about connections between number theory and geometry. Proposed by Robert Langlands ( 1967, 1970 ), it seeks to relate Galois groups in algebraic number theory to automorphic forms and ...

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