# 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

- Algebraic Functions (empty)
- Antiperiodic Functions (6 P)

### B

- Bernoulli Polynomials (3 P)
- Bifurcation Theory (empty)
- Binet Form (3 P)

### C

- Cauchy's Convergence Criterion (18 P)
- Cauchy's Inequality (3 P)

### D

- Diffeomorphisms (empty)
- Divergence (empty)
- Dynamical Systems Theory (empty)

### E

- Euler-Gompertz Constant (2 P)
- Exponent Combination Laws (19 P)
- Exponential Sums (1 P)

### F

- Fractals (empty)
- Function Theory (1 P)

### G

### H

- Harmonic Mean (5 P)
- Homogeneous Functions (1 P)

### I

- Inverse Fourier Transforms (empty)

### L

- Limits of Sequence of Sets (5 P)

### M

- Multinomial Coefficients (2 P)
- Möbius Transformations (2 P)

### N

- Non-Standard Analysis (empty)
- Number Fields (6 P)

### O

- Operator Theory (7 P)
- Order Notation (4 P)
- Oscillation (5 P)

### P

- Parametric Equations (empty)

### R

### S

- Square Function (19 P)

### T

### U

- Umbral Calculus (empty)

### V

## Pages in category "Analysis"

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

### A

### C

- Cauchy's Convergence Criterion
- Cauchy's Inequality
- Cauchy-Bunyakovsky-Schwarz Inequality
- Cauchy-Bunyakovsky-Schwarz Inequality/Definite Integrals
- Cesàro Mean
- Closed Bounded Subset of Real Numbers is Compact
- Compact Subspace of Real Numbers is Closed and Bounded
- Completeness Axiom
- Continuous Function on Compact Subspace of Euclidean Space is Bounded
- Continuous Image of Connected Space is Connected/Corollary 2
- Contraction Mapping Theorem
- Convergent Subsequence in Closed Interval
- Countable Sets Have Measure Zero