Category:Analysis

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This category contains results about Analysis.
Definitions specific to this category can be found in Definitions/Analysis.

Analysis is a branch of mathematics that studies continuous change.

It subsumes the fields of calculus, differential equations, the calculus of variations, power series, Fourier series, real analysis and complex analysis.

It is one of the main branches of mathematics, alongside geometry, number theory and algebra.

Subcategories

This category has the following 114 subcategories, out of 114 total.

A

Absolute Continuity‎ (1 C)
Absolute Convergence‎ (2 C, 8 P)
Addition‎ (16 C, 20 P)
Additive Functions‎ (2 C, 6 P)
Algebraic Functions‎ (empty)
Algebraic Numbers‎ (3 C, 5 P)
Analytic Number Theory‎ (22 C, 39 P)
Antiperiodic Functions‎ (6 P)
Asymptotics‎ (2 C, 2 P)

B

Bernoulli Numbers‎ (4 C, 19 P)
Bernoulli Polynomials‎ (3 P)
Bifurcation Theory‎ (empty)
Binet Form‎ (3 P)
Binomial Coefficients‎ (42 C, 132 P)

C

Calculus‎ (12 C, 10 P)
Cauchy's Convergence Criterion‎ (18 P)
Cauchy's Inequality‎ (3 P)
Cauchy-Bunyakovsky-Schwarz Inequality‎ (1 C, 9 P)
Ceiling Function‎ (2 C, 40 P)
Closed Bounded Subset of Real Numbers is Compact‎ (3 P)
Closed Forms‎ (3 C, 18 P)
Compact Subspace of Real Numbers is Closed and Bounded‎ (3 P)
Completely Multiplicative Functions‎ (8 P)
Complex Analysis‎ (82 C, 137 P)
Continuity‎ (16 C, 28 P)
Continuous Functions‎ (1 C, 24 P)
Convergence‎ (13 C, 55 P)
Convergent Sequences (Metric Space)‎ (1 C, 1 P)
Convergent Series‎ (1 C, 1 P)
Convex Analysis‎ (1 C, 2 P)

D

Diffeomorphisms‎ (empty)
Distance Function‎ (4 C, 14 P)
Divergence‎ (empty)
Dot Product‎ (12 C, 31 P)
Dynamical Systems Theory‎ (empty)

E

Elementary Functions‎ (1 C)
Euler Numbers‎ (1 C, 8 P)
Euler's Number‎ (4 C, 38 P)
Euler-Gompertz Constant‎ (2 P)
Exponent Combination Laws‎ (19 P)
Exponential Function‎ (21 C, 78 P)
Exponential Sums‎ (1 P)
Extended Real Numbers‎ (2 C, 15 P)

F

Fixed Point Theorems‎ (1 C, 4 P)
Floor Function‎ (4 C, 53 P)
Fourier Analysis‎ (7 C, 7 P)
Fourier Transforms‎ (1 C, 14 P)
Fractals‎ (empty)
Function Theory‎ (1 P)
Functional Analysis‎ (19 C, 37 P)
Fundamental Theorem of Algebra‎ (6 P)

G

Generating Functions‎ (5 C, 38 P)

H

Harmonic Analysis‎ (2 C, 2 P)
Harmonic Mean‎ (5 P)
Homogeneous Functions‎ (1 P)
Hyperbolic Functions‎ (14 C, 8 P)
Hyperbolic Identities‎ (1 C, 1 P)

I

Implicit Functions‎ (2 C, 9 P)
Inductive Sets‎ (1 C, 4 P)
Infinite Products‎ (6 C, 47 P)
Inverse Fourier Transforms‎ (empty)
Inverse Hyperbolic Functions‎ (9 C)
Inverse Trigonometric Functions‎ (15 C, 2 P)

L

Laurent Series Expansions‎ (1 C, 1 P)
Limits‎ (6 C)
Limits of Mappings‎ (5 C, 10 P)
Limits of Sequence of Sets‎ (5 P)
Limits of Sequences‎ (19 C, 91 P)
Logarithms‎ (23 C, 71 P)

M

Measure Theory‎ (44 C, 166 P)
Monotone Convergence Theorem‎ (2 C, 3 P)
Multinomial Coefficients‎ (2 P)
Multiplication‎ (11 C, 22 P)
Möbius Transformations‎ (2 P)

N

Non-Closed Set of Real Numbers is not Compact‎ (4 P)
Non-Standard Analysis‎ (empty)
Number Bases‎ (15 C, 10 P)
Number Fields‎ (6 P)
Numbers‎ (31 C, 24 P)

O

Operator Theory‎ (7 P)
Order is Preserved on Positive Reals by Squaring‎ (5 P)
Order Notation‎ (4 P)
Oscillation‎ (5 P)

P

Parametric Equations‎ (empty)
Partial Fractions Expansions‎ (1 C)
Periodic Functions‎ (3 C, 17 P)
Pointwise Operations‎ (3 C, 12 P)
Polynomial Equations‎ (5 C, 5 P)
Polynomial Functions‎ (2 C)
Polynomial Theory‎ (31 C, 116 P)
Power Series‎ (9 C, 17 P)
Powers‎ (16 C, 53 P)

R

Rational Functions‎ (1 C)
Real Analysis‎ (121 C, 183 P)
Real Numbers‎ (28 C, 83 P)
Riemann Zeta Function‎ (10 C, 48 P)
Roots of Numbers‎ (9 C, 9 P)

S

Sequences‎ (27 C, 44 P)
Series‎ (13 C, 32 P)
Special Functions‎ (23 C, 2 P)
Square Function‎ (19 P)
Subset of Finite Dimensional Normed Vector Space is Compact iff Closed and Bounded‎ (1 P)

T

Taylor Series‎ (2 C, 9 P)
Telescoping Series‎ (1 C, 7 P)
Topology‎ (99 C, 112 P)
Transcendental Numbers‎ (1 C, 17 P)
Trigonometric Functions‎ (13 C, 2 P)
Trigonometric Identities‎ (11 C, 53 P)
Trigonometric Series‎ (1 C, 10 P)
Trigonometry‎ (5 C, 5 P)

U

Umbral Calculus‎ (empty)
Unbounded Set of Real Numbers is not Compact‎ (4 P)

V

Vector Analysis‎ (8 C)
Vector Cross Product‎ (6 C, 19 P)

Pages in category "Analysis"

The following 70 pages are in this category, out of 70 total.

A

B

C

D

E

F

Fundamental Theorem of Algebra

G

H

I

L

M

N

Non-Closed Set of Real Numbers is not Compact

O

P

R

S

U

Unbounded Set of Real Numbers is not Compact

W

Weierstrass's Theorem

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