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ricardotore

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Registered: 2019-12-21

Posts: 4

Difference between math and arithmetic

What is the difference between math and arithmetic? I need a strong definition both. Thank you.

Jai Ganesh

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Registered: 2005-06-28

Posts: 48,406

Re: Difference between math and arithmetic

Hi ricardotore,

(i) Mathematics includes the study of such topics as quantity (number theory), structure (algebra), space (geometry), and change (mathematical analysis). It has no generally accepted definition.

Mathematicians seek and use patterns to formulate new conjectures; they resolve the truth or falsity of conjectures by mathematical proof. When mathematical structures are good models of real phenomena, mathematical reasoning can be used to provide insight or predictions about nature. Through the use of abstraction and logic, mathematics developed from counting, calculation, measurement, and the systematic study of the shapes and motions of physical objects. Practical mathematics has been a human activity from as far back as written records exist. The research required to solve mathematical problems can take years or even centuries of sustained inquiry.

(ii) Arithmetic is a branch of mathematics that consists of the study of numbers, especially the properties of the traditional operations on them—addition, subtraction, multiplication and division. Arithmetic is an elementary part of number theory, and number theory is considered to be one of the top-level divisions of modern mathematics, along with algebra, geometry, and analysis. The terms arithmetic and higher arithmetic were used until the beginning of the 20th century as synonyms for number theory and are sometimes still used to refer to a wider part of number theory.

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ricardotore

Banned

Registered: 2019-12-21

Posts: 4

Re: Difference between math and arithmetic

Hi ricardotore,

(i) Mathematics includes the study of such topics as quantity (number theory), structure (algebra), space (geometry), and change (mathematical analysis). It has no generally accepted definition.

Mathematicians seek and use patterns to formulate new conjectures; they resolve the truth or falsity of conjectures by mathematical proof. When mathematical structures are good models of real phenomena, mathematical reasoning can be used to provide insight or predictions about nature. Through the use of abstraction and logic, mathematics developed from counting, calculation, measurement, and the systematic study of the shapes and motions of physical objects. Practical mathematics has been a human activity from as far back as written records exist. The research required to solve mathematical problems can take years or even centuries of sustained inquiry.

(ii) Arithmetic is a branch of mathematics that consists of the study of numbers, especially the properties of the traditional operations on them—addition, subtraction, multiplication and division. Arithmetic is an elementary part of number theory, and number theory is considered to be one of the top-level divisions of modern mathematics, along with algebra, geometry, and analysis. The terms arithmetic and higher arithmetic were used until the beginning of the 20th century as synonyms for number theory and are sometimes still used to refer to a wider part of number theory.

Hi, Ganesh. Thank you so much. You have done me a great advice! Almost like in this article about Difference Between Math and Arithmetic | Differencebtwn

Last edited by ricardotore (2019-12-26 02:46:23)

Agnishom

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From: Riemann Sphere

Registered: 2011-01-29

Posts: 24,996

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Re: Difference between math and arithmetic

Hi;

Math is basically any kind of critical thinking that involves some degree of abstraction. Some describe it as the study of patterns divorced from context.

Arithmetic could have several meanings. In a broader context, it refers to number theory. In a narrow context, it refers to the four field operations (+, -, *, /) on a familiar field like rationals or the reals.

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