Matematica

	Ti-ci article besona revision.

Matematica es li córpor de saventie quel centra se pri conceptiones tal que quantitá, structura, spacie, e change, e li discipline academic quel studia les. It evoluet, per li usage de abstration e rasonament logical, de numerar, calcular, mesurar, e li studie del formes e motiones de objectes fisic.

Etimologie

Li parol matematica veni del grec μάθημα (máthēma), que in ancian gres significa "quo es aprendet" (en anc "studio" e "scientie" e in modern grec solmen "lecion").

Branches

On posse divider modern matematica in du chef-gruppes: pur matematica e aplicat matematica.

Pur matematica es composit ex mult sectiones:

• numbers: arithmetics,
• structures: algebra, number theory, combinatorics, group theory, order theory,
• spaces: geometry, trigonometry, fractal geometry, topology, measure theory, differential geometry,
• changes: calculus divided into integral and differential, vector calculus, dynamical systems, chaos theory and complex analysis.

Applied mathematics:

• Mathematical physics
• Mathematical chemistry
• Biomathematics
• Engineering: control theory
• Numerical analysis
• Game theory: used in economics, psychology and biology
• Probability and statistics in mathematical finance
• Optimisation
• Computer science
• Machine learning
• Cryptography

Foundations of mathematics:

• Fundamental rules
• Mathematical logic
• Set theory
• Category theory
• Theory of computation, with complexity theory