Map of Mathematics

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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.
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• 15 2D shapes
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• 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
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• 20 Linear Equations
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• 20 Algebra properties
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› 20 Algebra
The study of mathematical symbols and the rules for manipulating these symbols
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• 25 Exponent, root and logarithm
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› 25 Exponent, root and logarithm
+plus (−minus) ↺ ·times (/over) ↺ ˄to (˅root ⍻log)
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• 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]
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› 31 Vector
The Addition of 2 Dimensional Number ┆ 01 Introduction to Vectors and Their Operations ┆ 02 The Vector Dot Product ┆ Force Table ┆ Lever ┆ Vector

• 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.
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› 40 Abstract Algebra
Set Theory

• 50 unit circle
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• 50 reciprocal functions
sin(x) = ↑x ┆ cos(x) = →x ┆ tan(x) = ↗x ┆ cot(x) = ↙x ┆ sec(x) = ←x ┆ csc(x) = ↓
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• 50 inverse functions
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• 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
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• 60 Calculus - derivatives and limits
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• 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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› 61 Multivariable Caculus

› 70 Topology
The mathematical study of the properties that are preserved through deformations, twistings, and stretchings of objects
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› imaginary number
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› Litionary
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› ￤references
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