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  2. List of real analysis topics - Wikipedia

    en.wikipedia.org/wiki/List_of_real_analysis_topics

    Convolution. Cauchy product –is the discrete convolution of two sequences; Farey sequence – the sequence of completely reduced fractions between 0 and 1; Oscillation – is the behaviour of a sequence of real numbers or a real-valued function, which does not converge, but also does not diverge to +∞ or −∞; and is also a quantitative measure for that.

  3. List of representation theory topics - Wikipedia

    en.wikipedia.org/wiki/List_of_representation...

    This is a list of representation theory topics, by Wikipedia page. See also list of harmonic analysis topics , which is more directed towards the mathematical analysis aspects of representation theory.

  4. List of functional analysis topics - Wikipedia

    en.wikipedia.org/wiki/List_of_functional...

    Uniform norm; Matrix norm; Spectral radius; Normed division algebra; Stone–Weierstrass theorem; Banach algebra *-algebra; B*-algebra; C*-algebra. Universal C*-algebra

  5. Representation theory - Wikipedia

    en.wikipedia.org/wiki/Representation_theory

    Representation theory depends upon the type of algebraic object being represented. There are several different classes of groups, associative algebras and Lie algebras, and their representation theories all have an individual flavour. Representation theory depends upon the nature of the vector space on which the algebraic object is represented.

  6. Multiple representations (mathematics education) - Wikipedia

    en.wikipedia.org/wiki/Multiple_representations...

    The use of multiple representations supports and requires tasks that involve decision-making and other problem-solving skills. [2] [3] [4] The choice of which representation to use, the task of making representations given other representations, and the understanding of how changes in one representation affect others are examples of such mathematically sophisticated activities.

  7. List of abstract algebra topics - Wikipedia

    en.wikipedia.org/.../List_of_abstract_algebra_topics

    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 ...

  8. List of graph theory topics - Wikipedia

    en.wikipedia.org/wiki/List_of_graph_theory_topics

    Knowledge representation. Conceptual graph; Mind map; Level structure; Link popularity; Mac Lane's planarity criterion; Node influence metric; Reconstruction conjecture; Scientific classification. Cladistics; Neighbor-joining; Phenetics; Turán number; Shannon switching game; Spectral graph theory; Spring-based algorithm; Strongly connected ...

  9. List of group theory topics - Wikipedia

    en.wikipedia.org/wiki/List_of_group_theory_topics

    In mathematics and abstract algebra, group theory studies the algebraic structures known as groups.The concept of a group is central to abstract algebra: other well-known algebraic structures, such as rings, fields, and vector spaces, can all be seen as groups endowed with additional operations and axioms.