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Algebraic Numbers is in Real Numbers.
Real Numbers can be either Algebraic Numbers or Transcendental Number.
Culture, General Things, Mathematics, Real Numbers, Algebraic Numbers, Irrational Number
Irrational Number. An Irrational Number is a number that cannot be expressed as a Fraction.
Culture, General Things, Mathematics, Real Numbers, Algebraic Numbers, Irrational Number, Constructable Numbers
Constructable Numbers are numbers that can be derived using a straight edge and a compass.
Culture, General Things, Mathematics, Real Numbers, Algebraic Numbers, Irrational Number, Constructable Numbers, Golden Ratio
The Golden Ratio, also known as the Golden Mean and Golden Section, is 1.618033... It is the solution to the equation x^2 - x - 1 = 0, or ( a + b ) / a = a / b.
The Golden Ratio is usually represented by the Greek Letter phi φ.
The Fibaonacci Series converges on the Golden Ratio.
The formula ( 1 + SQRT(5) ) / 2 is the Golden Ratio.
Culture, General Things, Mathematics, Real Numbers, Algebraic Numbers, Irrational Number, Constructable Numbers, Square Root of 2
Square Root of 2, or 2^(1/2) being the length of the diagonal of a square with sides of length 1. It is 1.4142135623...
99/70 = 1.4142857 approximates to the Square Root of 2.
Culture, General Things, Mathematics, Real Numbers, Algebraic Numbers, Irrational Number, Non-Constructable Numbers
Non-Constructable Numbers are the solution to algebraic equations with a cube root of higher eg 2^(1/3).
Culture, General Things, Mathematics, Real Numbers, Algebraic Numbers, Rational Number
Culture, General Things, Mathematics, Real Numbers, Algebraic Numbers, Rational Number, Fractions
Fractions are an Integer divided by an Integer eg 1/2, 5/13, 241/98.
Rational Number. A Rational Number is a number that can be expressed as a Fraction of two Integers. Integers are Fractions with a divisor of 1.
Irrational Number. An Irrational Number is a number that cannot be expressed as a Fraction.
Culture, General Things, Mathematics, Real Numbers, Algebraic Numbers, Rational Number, Integers
Integers aka whole numbers. Fractions with a divisor of 1.
Rational Number. A Rational Number is a number that can be expressed as a Fraction of two Integers. Integers are Fractions with a divisor of 1.
Culture, General Things, Mathematics, Real Numbers, Algebraic Numbers, Rational Number, Integers, Prime Number
All About History Books
The Chronicle of Geoffrey le Baker of Swinbroke. Baker was a secular clerk from Swinbroke, now Swinbrook, an Oxfordshire village two miles east of Burford. His Chronicle describes the events of the period 1303-1356: Gaveston, Bannockburn, Boroughbridge, the murder of King Edward II, the Scottish Wars, Sluys, Crécy, the Black Death, Winchelsea and Poitiers. To quote Herbert Bruce 'it possesses a vigorous and characteristic style, and its value for particular events between 1303 and 1356 has been recognised by its editor and by subsequent writers'. The book provides remarkable detail about the events it describes. Baker's text has been augmented with hundreds of notes, including extracts from other contemporary chronicles, such as the Annales Londonienses, Annales Paulini, Murimuth, Lanercost, Avesbury, Guisborough and Froissart to enrich the reader's understanding. The translation takes as its source the 'Chronicon Galfridi le Baker de Swynebroke' published in 1889, edited by Edward Maunde Thompson. Available at Amazon in eBook and Paperback.
Prime Number. A Prime Number is an Integer that is only divisible by 1 and itself with the Remainder ie. 1, 2, 3, 5, 7, 11, 13, 17, 19, ...
Culture, General Things, Mathematics, Real Numbers, Algebraic Numbers, Rational Number, Integers, Prime Number, Fermat Prime
Fermat Prime. A Prime Number that is a solution to 2^2^N + 1 eg 3, 5, 17, 65537, 4294967297, 18446744073709551617
2 ^ 2 ^ 0 + 1 = 3
2 ^ 2 ^ 1 + 1 = 5
2 ^ 2 ^ 2 + 1 = 17
With the exeception of the first and second terms Germat Primes always end in 7.
Culture, General Things, Mathematics, Real Numbers, Algebraic Numbers, Rational Number, Integers, Prime Number, Mersenne Prime
Mersenne Prime. A Mersenne Prime is a prime number that is one less than a power of two. Mersenne Primes do not include all numbers that are one less than a power of two eg 16 - 1 = 15 which is divisible by 1, 3 and 5.