Mathematical Language and
Symbols
MATHEMATICAL LANGUAGE
The mathematical language is the system used to communicate mathematical ideas.
This language consists of some natural language using technical terms
(mathematical terms) and grammatical conventions that are uncommon to
mathematical discourse, supplemented by a highly specialized symbolic notation for
mathematical formulas.
-The mathematical notation used for formulas has its grammar and shared by
mathematicians anywhere in the globe.
Mathematical language must be precise, concise, and powerful, these must be its
characteristics.
CHARACTERISTICS OF MATHEMATICAL LANGUAGE
1.) Precision in mathematics is a culture of being correct all the time. Definition and
limits should be distinct. Mathematical ideas are being developed informally and being
done more formally, with necessary and sufficient conditions stated upfront and
restricting the discussion to a particular class of objects.
2.) Concise in mathematics must show simplicity. Being concise is a strong part of the
culture in mathematical language. Mathematicians desire the simplest possible single
exposition.
3.) Mathematical language must also be powerful. It is a way of expressing complex
thoughts with relative ease. The abstraction in mathematics is the desire to unify diverse
instances under a single conceptual framework and allows easier penetration of the
subject and the development of more powerful methods.
How does Expression differ from sentences?
EXPRESSION VERSUS SENTENCES
An expression (or mathematical expression) is a finite combination of symbols that is
well-defined according to rules that depend on the context. The symbols can
designate numbers, variables, operations, functions, brackets, punctuation, and
groupings to help determine the order of operations and other aspects of
mathematical syntax.
An expression is a correct arrangement of mathematical symbols used to represent
the object of interest, it does not contain a complete thought, and it cannot
Symbols
MATHEMATICAL LANGUAGE
The mathematical language is the system used to communicate mathematical ideas.
This language consists of some natural language using technical terms
(mathematical terms) and grammatical conventions that are uncommon to
mathematical discourse, supplemented by a highly specialized symbolic notation for
mathematical formulas.
-The mathematical notation used for formulas has its grammar and shared by
mathematicians anywhere in the globe.
Mathematical language must be precise, concise, and powerful, these must be its
characteristics.
CHARACTERISTICS OF MATHEMATICAL LANGUAGE
1.) Precision in mathematics is a culture of being correct all the time. Definition and
limits should be distinct. Mathematical ideas are being developed informally and being
done more formally, with necessary and sufficient conditions stated upfront and
restricting the discussion to a particular class of objects.
2.) Concise in mathematics must show simplicity. Being concise is a strong part of the
culture in mathematical language. Mathematicians desire the simplest possible single
exposition.
3.) Mathematical language must also be powerful. It is a way of expressing complex
thoughts with relative ease. The abstraction in mathematics is the desire to unify diverse
instances under a single conceptual framework and allows easier penetration of the
subject and the development of more powerful methods.
How does Expression differ from sentences?
EXPRESSION VERSUS SENTENCES
An expression (or mathematical expression) is a finite combination of symbols that is
well-defined according to rules that depend on the context. The symbols can
designate numbers, variables, operations, functions, brackets, punctuation, and
groupings to help determine the order of operations and other aspects of
mathematical syntax.
An expression is a correct arrangement of mathematical symbols used to represent
the object of interest, it does not contain a complete thought, and it cannot
