Matematica
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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.
Etimologie[modificar | redacter fonte]
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[modificar | redacter fonte]
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