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arithmetic, geometry, algebra, exponentiation, logarithm, trigonometry, calculus, topology Map of Mathematics
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00 History
In mathematics, the notion of number has been extended over the centuries to include 0, negative numbers, rational numbers such as 1/2 and −2/3, real numbers such as √2 and π, and complex numbers, which extend the real numbers with √−1.
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10 Arithmatic
The study of numbers, especially the properties of the traditional operations on them—addition, subtraction, multiplication and division.
4758#4816 15 2D shapes
9553 15 3D shapes
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15 Geometry
A branch of mathematics concerned with questions of shape, size, relative position of figures, and the properties of space
4758#4999 20 Linear Equations
9651 20 Algebra properties
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20 Algebra
The study of mathematical symbols and the rules for manipulating these symbols
4758#4985 25 Expansion of Operators and Numbers
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25 Exponent, root and logarithm
Exponentiation is repeated multiplication. Root is the inverse operation of exponentiation. Logarithm is a new inverse operation of exponentiation.
4758#5216 30 2 Dimensional Number
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30 Complex Number
The set C of complex numbers is the set R2 of ordered pairs of real numbers. a+bi = [a,b]
4758#9605 35 Linear Algebra
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35 Linear Algebra
The branch of mathematics concerning linear equations, linear maps and their representations in vector spaces and through matrices.
4758#5093 50 unit circle
3675 50 reciprocal functions
3671 COMMENT 50 inverse functions
6086 COMMENT 50 Trigonometric laws and identities
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50 Trigonometry
A branch of mathematics that studies relationships between side lengths and angles of triangles
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55 Analysis
Fundamentals of Mathematical Analysis
4758#9702 60 Calculus - derivatives and limits
3731 60 Calculus - integrals
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60 Calculus
Whether differential or integral both concepts involve the idea that we can do something infinately many times and get a finite answer that is useful.
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70 Topology
The mathematical study of the properties that are preserved through deformations, twistings, and stretchings of objects
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