CZ:Core Articles/Mathematics: Difference between revisions
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imported>Daniel Mietchen (transfered mathematics section from Core_Articles/Natural_Sciences; history remains there) |
imported>John Stephenson (→Calculus: missed e) |
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{{rpl|Exponentiation}} | |||
===Geometry=== | |||
{{rpl|Angle}} | |||
*[[Circle (disambiguation)]] | |||
*[[Sphere (disambiguation)]] | |||
{{rpl|Cone}} | |||
{{rpl|Differential geometry}} | |||
{{rpl|Homology}} | |||
{{rpl|Poincaré conjecture}} | |||
===Calculus=== | |||
{{rpl|Trigonometry}} | |||
{{rpl|Polar coordinate}} | |||
{{rpl|Limit}} | |||
{{rpl|Differential calculus}} | |||
{{rpl|Jacobian matrix}} | |||
{{rpl|Fundamental Theorem of Calculus}} | |||
{{rpl|Convolution}} | |||
===Analysis=== | |||
*[[Analysis (disambiguation)]] | |||
{{rpl|Mean value theorem}} | |||
{{rpl|Taylor's theorem}} | |||
{{rpl|Harmonic analysis}} | |||
{{rpl|Harmonic function}} | |||
{{rpl|Laplace transform}} | |||
{{rpl|Jensen's inequality}} | |||
{{rpl|Borel measure}} | |||
{{rpl|Lebesgue measure}} | |||
{{rpl|Lebesgue integral}} | |||
{{rpl|Riemann integral}} | |||
===Complex analysis=== | |||
{{rpl|de Moivre's identity}} | |||
{{rpl|Euler formula}} | |||
{{rpl|Complex logarithm}} | |||
{{rpl|Complex exponentiation}} | |||
{{rpl|Cauchy–Riemann equations}} | |||
{{rpl|Pole (mathematics)}} | |||
{{rpl|Meromorphic function}} | |||
*[[Residue (disambiguation)]] | |||
{{rpl|Cauchy's integral theorem}} | |||
{{rpl|Cauchy's integral formula}} | |||
{{rpl|Contour integral}} | |||
{{rpl|Analytic continuation}} | |||
{{rpl|Riemann hypothesis}} | |||
===Functional analysis=== | |||
{{rpl|Functional analysis}} | |||
{{rpl|Lp space|L<sub>''p''</sub> space}} | |||
{{rpl|Hölder's inequality}} | |||
{{rpl|Tempered distribution}} | |||
{{rpl|Sobolev space}} | |||
{{rpl|Operator theory}} | |||
*[[Adjoint (disambiguation)]] | |||
{{rpl|Riesz representation theorem}} | |||
{{col-break}} | |||
===Differential equations=== | |||
{{rpl|Ordinary differential equation}} | |||
{{rpl|Linear differential equation}} | |||
{{rpl|First order ordinary differential equation}} | |||
{{rpl|Laplace equation}} | |||
{{rpl|Poisson's equation}} | |||
{{rpl|Wave equation}} | |||
{{rpl|Poisson kernel}} | |||
{{rpl|Dirichlet problem}} | |||
{{rpl|Boundary value problem}} | |||
{{rpl|K-theory}} | |||
===Algebra=== | |||
{{rpl|Quadratic form}} | |||
{{rpl|Group representation}} | |||
{{rpl|Field theory}} | |||
{{rpl|Abel–Ruffini theorem}} | |||
{{rpl|Lie group}} | |||
===Linear algebra=== | |||
{{rpl|System of linear equations}} | |||
{{rpl|Basis (mathematics)}} | |||
===Matrix theory=== | |||
{{rpl|Matrix multiplication}} | |||
*[[Determinant (disambiguation)]] | |||
{{rpl|Spectral theorem}} | |||
{{rpl|Stochastic matrix}} | |||
===Set theory=== | |||
{{rpl|Russell's paradox}} | |||
{{rpl|Banach–Tarski paradox}} | |||
{{rpl|Continuum}} | |||
*[[Function (disambiguation)]] | |||
{{rpl|Bijection}} | |||
===Logic=== | |||
{{ | {{rpl|Mathematical logic}} | ||
{{ | {{rpl|Mathematical proof}} | ||
{{rpl|Proof by contradiction}} | |||
{{rpl|Gödel's incompleteness theorem}} | |||
{{rpl|Philosophy of mathematics}} | |||
===Probability=== | |||
{{rpl|Probability theory}} | |||
{{rpl|Statistical hypothesis testing}} | |||
{{rpl|Mean}} | |||
{{rpl|Variance}} | |||
{{rpl|Moment (mathematics)}} | |||
{{rpl|Moment-generating function}} | |||
{{rpl|Central limit theorem}} | |||
{{rpl|Cauchy distribution}} | |||
{{rpl|Stochastic calculus}} | |||
{{rpl|Itô calculus}} | |||
{{rpl|Stochastic differential equation}} | |||
{{rpl|Chapman–Kolmogorov equation}} | |||
{{rpl|Lévy process}} | |||
{{rpl|Poisson process}} | |||
*[[Random walk (disambiguation)]] | |||
===Applied=== | |||
{{rpl|Dynamical system}} | |||
{{rpl|Ergodic theory}} | |||
{{rpl|Mathematical model}} | |||
{{rpl|Variational calculus}} | |||
{{ | |||
{{ | |||
===History=== | |||
{{rpl|History of mathematics}} | |||
{{ | {{rpl|Augustin Louis Cauchy}} | ||
{{ | {{rpl|Pierre-Simon Laplace}} | ||
{{rpl|David Hilbert}} | |||
{{rpl|Gottfried Leibniz}} | |||
{{rpl|John von Neumann}} | |||
{{rpl|Siméon Denis Poisson}} | |||
{{rpl|Henri Poincaré}} | |||
{{rpl|Fields medal}} | |||
{{col-break}} | |||
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{{col-end}} | {{col-end}} |