Calculus and Analysis Symbols in Maths
Calculus is a branch of maths that deal with rate of change of function and sum of infinitelously small values using the concept of limits. There are various symbol used in calculs learn all the symbols used in Calculus through the table added below,
Symbol | Symbol Name in Maths | Math Symbols Meaning | Example |
---|---|---|---|
ε | epsilon | represents a very small number, near-zero | ε → 0 |
e | e Constant/Euler’s Number | e = 2.718281828… | e = lim (1+1/x)x , x→∞ |
limx→a | limit | limit value of a function | limx→2(2x + 2) = 2×2 + 2 = 6 |
y‘ | derivative | derivative – Lagrange’s notation | (4x2)’ = 8x |
y” | Second derivative | derivative of derivative | (4x2)” = 8 |
y(n) | nth derivative | n times derivation | nth derivative of xn xn {yn(xn)} = n (n-1)(n-2)….(2)(1) = n! |
dy/dx | derivative | derivative – Leibniz’s notation | d(6x4)/dx = 24x3 |
dy/dx | derivative | derivative – Leibniz’s notation | d2(6x4)/dx2 = 72x2 |
dny/dxn | nth derivative | n times derivation | nth derivative of xn xn {dn(xn)/dxn} = n (n-1)(n-2)….(2)(1) = n! |
Dx | Single derivative of time | Derivative-Euler’s Notation | d(6x4)/dx = 24x3 |
D2x | second derivative | Second Derivative-Euler’s Notation | d(6×4)/dx = 24×3 |
Dnx | derivative | nth derivative-Euler’s Notation | nth derivative of xn {Dn(xn)} = n (n-1)(n-2)….(2)(1) = n! |
∂/∂x | partial derivative | Differentiating a function with respect to one variable considering the other variables as constant | ∂(x5 + yz)/∂x = 5x4 |
∫ | integral | opposite to derivation | ∫xn dx = xn + 1/n + 1 + C |
∬ | double integral | integration of the function of 2 variables | ∬(x + y) dx.dy |
∭ | triple integral | integration of the function of 3 variables | ∫∫∫(x + y + z) dx.dy.dz |
∮ | closed contour / line integral | Line integral over closed curve | ∮C 2p dp |
∯ | closed surface integral | Double integral over a closed surface | ∭V (⛛.F)dV = ∯S (F.n̂) dS |
∰ | closed volume integral | Volume integral over a closed three-dimensional domain | ∰ (x2 + y2 + z2) dx dy dz |
[a,b] | closed interval | [a,b] = {x | a ≤ x ≤ b} | cos x ∈ [ – 1, 1] |
(a,b) | open interval | (a,b) = {x | a < x < b} | f is continuous within (-1, 1) |
z* | complex conjugate | z = a+bi → z*=a-bi | If z = a + bi then z* = a – bi |
i | imaginary unit | i ≡ √-1 | z = a + bi |
∇ | nabla/del | gradient / divergence operator | ∇f (x,y,z) |
x * y | convolution | Modification in a function due to the other function. | y(t) = x(t) * h(t) |
∞ | lemniscate | infinity symbol | x ≥ 0; x ∈ (0, ∞) |
Maths Symbols – Basic Mathematics Symbols
Maths symbols are figures or combinations of figures that represent mathematical objects, actions, or relations. They are used to solve mathematical problems quickly and easily.
Foundation of mathematics lies in its symbols and numbers. The symbols in mathematics are used to perform various mathematical operations. The symbols help us to define a relationship between two or more quantities. This article will cover some basic Math symbols along with their descriptions and examples.
Table of Content
- Symbols in Maths
- List of All Maths Symbols
- Algebra Symbols in Maths
- Geometry Symbols in Maths
- Set Theory Symbol in Maths
- Calculus and Analysis Symbols in Maths
- Combinatorics Symbols in Maths
- Numeral Symbols in Maths
- Greek Symbols in Maths
- Logic Symbols in Maths
- Discrete Mathematics Symbols