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Matematica es li córpor de saventie que 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.

EtimologieRedacter

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").

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Modern mathematics can be divided in two main groups: pure mathematics and applied mathematics.

Pure maths is made of several sections:

  • 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