A systematic means of communicating by the use of sounds or conventional symbols
Mathematical language
A system used in the field of mathematics to communicate mathematical ideas, concepts, and theories among people
Characteristics of mathematical language
Concise- Able to say things briefly
Powerful- Able to express complex thoughts with relative ease
Precise - able to make fine distinctions
The language of mathematics was designed for numbers, sets, functions, and performingoperations
Context
The particular topics being studied
Convention
A fact, name, notation or usage which is generally agreed upon by many mathematicians
Conventions in mathematics
Capital letters used to name a dot or set and label vertices of a polygon
Always express fractions in the simplest form
Constructing a Venn diagram: represent universal set using a rectangle and various sets of objects using circular regions including those regions formed by intersection circles
Use the name of the definition, postulate or theorem instead of writing its content
Distances in a coordinate system are non-negative
Mathematical symbols
Used to refer to certain quantities, concepts, and ideas
Common mathematical symbols
∩, ∪, ⊂, ⊃ (Sets)
+, -, ×, ÷ (Operations)
0, 1, 2, 3, 4, 5, 6, 7, 8, 9 (The tendigits)
a, b, c, x and y (Variables)
=, ≠, ≈, <, >, ≤, ≥, π (Specialsymbols)
~, ^, v, →, ↔ (Logicsymbols)
N, W, Z, Q, R, C (Set Notations)
Mathematical expression
A finite combination of symbols that is well-formed according to rules that depend on the context
Mathematical sentence
A sentence that can be identified as either true or false