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  2. Definitions of mathematics - Wikipedia

    en.wikipedia.org/wiki/Definitions_of_mathematics

    Most contemporary reference works define mathematics by summarizing its main topics and methods: The abstract science which investigates deductively the conclusions implicit in the elementary conceptions of spatial and numerical relations, and which includes as its main divisions geometry, arithmetic, and algebra. [16] Oxford English Dictionary ...

  3. Algebra - Wikipedia

    en.wikipedia.org/wiki/Algebra

    Algebra is the branch of mathematics that studies certain abstract systems, known as algebraic structures, and the manipulation of expressions within those systems. It is a generalization of arithmetic that introduces variables and algebraic operations other than the standard arithmetic operations, such as addition and multiplication.

  4. The Math Myth - Wikipedia

    en.wikipedia.org/wiki/The_Math_Myth

    The Math Myth describes the approach of the contemporary American education system towards mathematics as a "self-delusion", especially critiquing the Common Core standards and the role of obtuse and abstract mathematics in impeding the mathematical literacy of students, arguing that current methods lead to higher drop out rates.

  5. Glossary of areas of mathematics - Wikipedia

    en.wikipedia.org/wiki/Glossary_of_areas_of...

    Also called infinitesimal calculus A foundation of calculus, first developed in the 17th century, that makes use of infinitesimal numbers. Calculus of moving surfaces an extension of the theory of tensor calculus to include deforming manifolds. Calculus of variations the field dedicated to maximizing or minimizing functionals. It used to be called functional calculus. Catastrophe theory a ...

  6. Algebraic - Wikipedia

    en.wikipedia.org/wiki/Algebraic

    Algebraic definition, a definition in mathematical logic which is given using only equalities between terms; Algebraic structure, a set with one or more finitary operations defined on it; Algebraic, the order of entering operations when using a calculator (contrast reverse Polish notation)

  7. Andrew Hacker - Wikipedia

    en.wikipedia.org/wiki/Andrew_Hacker

    [1] His recent book, Higher Education? was written in collaboration with Claudia Dreifus, his wife, a New York Times science writer and Columbia University professor. Professor Hacker is a frequent contributor to the New York Review of Books. In his articles he has questioned whether mathematics is necessary, claiming "Making mathematics ...

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  9. Mathematics - Wikipedia

    en.wikipedia.org/wiki/Mathematics

    A great many professional mathematicians take no interest in a definition of mathematics, or consider it undefinable. There is not even consensus on whether mathematics is an art or a science. Some just say, "mathematics is what mathematicians do". [166] [167] A common approach is to define mathematics by its object of study. [168] [169] [170 ...