Mathematics
For other meanings of "mathematics" or "math", see
Mathematics (disambiguation) and
Math (disambiguation). Mathematics (colloquially, maths or math) is the body of knowledge centered on such concepts as
quantity,
structure,
space, and
change, and also the academic discipline that studies them.
Benjamin Peirce called it "the science that draws necessary conclusions". Other practitioners of mathematics maintain that mathematics is the science of pattern, that
mathematicians seek out patterns whether found in numbers, space, science, computers, imaginary abstractions, or elsewhere. Mathematicians explore such concepts, aiming to formulate new
conjectures and establish their truth by
rigorous deduction from appropriately chosen
axioms and
definitions. Through the use of
abstraction and
logical reasoning, mathematics evolved from
counting,
calculation,
measurement, and the systematic study of the
shapes and
motions of physical objects. Knowledge and use of basic mathematics have always been an inherent and integral part of individual and group life. Refinements of the basic ideas are visible in mathematical texts originating in
ancient Egypt,
Mesopotamia,
ancient India,
ancient China, and
ancient Greece. Rigorous arguments appear in
Euclid's
Elements. The development continued in fitful bursts until the
Renaissance period of the
16th century, when mathematical innovations interacted with new
scientific discoveries, leading to an acceleration in research that continues to the present day.
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Mathématiques
Mathematics
Mathematik
Matematyka
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Matematica
La parola matematica deriva dal
greco μάθημα (máthema), traducibile con i termini "scienza", "conoscenza" o "apprendimento"; μαθηματικός (mathematikós) significa "incline ad apprendere".Con questo termine generalmente si designa la disciplina (ed il relativo corpo di conoscenze) che studia problemi concernenti
quantità, estensioni e figure spaziali, movimenti di corpi, e tutte le strutture che permettono di trattare questi aspetti in modo generale. La matematica fa largo uso degli strumenti della
logica e sviluppa le proprie conoscenze nel quadro di sistemi ipotetico-deduttivi che, a partire da
definizioni rigorose e da
assiomi riguardanti proprietà degli oggetti definiti (risultati da un procedimento di
astrazione, come
triangoli,
funzioni,
vettori ecc.), raggiunge nuove certezze, per mezzo delle
dimostrazioni, attorno a proprietà meno intuitive degli oggetti stessi (espresse dai
teoremi).
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