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arithmetic, geometry, algebra, exponentiation, logarithm, trigonometry, calculus, topology

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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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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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The study of numbers, especially the properties of the traditional operations on them—addition, subtraction, multiplication and division.

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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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A branch of mathematics concerned with questions of shape, size, relative position of figures, and the properties of space

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20 Algebra

The study of mathematical symbols and the rules for manipulating these symbols

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The study of mathematical symbols and the rules for manipulating these symbols

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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.

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Exponentiation is repeated multiplication. Root is the inverse operation of exponentiation. Logarithm is a new inverse operation of exponentiation.

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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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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

• The Addition of 2 Dimensional Number • 01 Introduction to Vectors and Their Operations • 02 The Vector Dot Product • Force Table • Lever • Vector

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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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The branch of mathematics concerning linear equations, linear maps and their representations in vector spaces and through matrices.

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50 Trigonometry

A branch of mathematics that studies relationships between side lengths and angles of triangles

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A branch of mathematics that studies relationships between side lengths and angles of triangles

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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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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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The mathematical study of the properties that are preserved through deformations, twistings, and stretchings of objects

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**￤references**

• Basic proof techniques • Desmos › In-line Notation • Introduction to mathematic proof › Luffa • Mathcha › Number Theory • Proof Wiki • twitter

• Basic proof techniques • Desmos › In-line Notation • Introduction to mathematic proof › Luffa • Mathcha › Number Theory • Proof Wiki • twitter

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**￤terms**

• Circle • Complementary Angle • Complex Number • Composite Number • Congruence Modulo • Convergence and Divergence • Converse • Cross Product • Dimension • Dot Product • e ≈ 2.718 • Factorial, Permutation and Combination (Choose) • FOIL • Golden Section • GRE Math Terminology • Iff • Integration • Interest • Irrational Number • Limit • Line • Linear systems • Logarithm • Logarithm • Logarithm • Mathematical Induction • Mathematical Notation • Matrix • Number, Numeral and Digit • Partial derivative • Pascal's Triangle • Plane • Point • Point • Power Rule • Prime Factorization • Prime Number • Prime Number • Prime Number Theorem • Quadrilateral • Rational Number • Sequence • Series • Space • Taylor and Maclaurin Series • Triangle • Triangle • Trigonometric Functions • Vector • π ≈ 3.14 • π(n) • Φ ≈ 1.618 • ψ ≈ 137.5° • √2 ≈ 1.414

• Circle • Complementary Angle • Complex Number • Composite Number • Congruence Modulo • Convergence and Divergence • Converse • Cross Product • Dimension • Dot Product • e ≈ 2.718 • Factorial, Permutation and Combination (Choose) • FOIL • Golden Section • GRE Math Terminology • Iff • Integration • Interest • Irrational Number • Limit • Line • Linear systems • Logarithm • Logarithm • Logarithm • Mathematical Induction • Mathematical Notation • Matrix • Number, Numeral and Digit • Partial derivative • Pascal's Triangle • Plane • Point • Point • Power Rule • Prime Factorization • Prime Number • Prime Number • Prime Number Theorem • Quadrilateral • Rational Number • Sequence • Series • Space • Taylor and Maclaurin Series • Triangle • Triangle • Trigonometric Functions • Vector • π ≈ 3.14 • π(n) • Φ ≈ 1.618 • ψ ≈ 137.5° • √2 ≈ 1.414