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Mathematician
Revision as of 18:32, 1 June 2018 by Lethosor (talk | contribs) (Changed quality rating from "Fine" to "Superior" using the rating script)
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| Job Title | Mathematician | |
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v50.14 · v0.47.05 This article is about the current version of DF.Note that some content may still need to be updated. |
Mathematician is a scholar skill. It is used by scholars when thinking about mathematical topics.
| Topic | Description | Wikipedia link | Subdivision |
|---|---|---|---|
| Divergence of harmonic series | The divergence of the harmonic series | Harmonic series (mathematics) | Algebra |
| Equations | The technique of balancing and completion for solving equations | The Compendious Book on Calculation by Completion and Balancing, Algebra, and Equation | Algebra |
| Large sums | Simple formulas for certain arbitrarily large sums | Summation | Algebra |
| Pascal's triangle | A triangular configuration of numbers relating to the successive powers of any sum | Pascal's triangle | Algebra |
| Quadratic by completing square | The solving of quadratic equations by completion of the square | Completing the square | Algebra |
| Quadratic formula | A formula which solves quadratic equations | Quadratic formula | Algebra |
| Solving higher order polynomials | Methods for solving certain equations involving powers higher than the quadratic | Galois theory | Algebra |
| Systems of equations | Methods of solving systems of equations | Linear system | Algebra |
| Area enclosed by line and parabola | The area enclosed by a parabola and a line | The Quadrature of the Parabola | Geometry |
| Area of circle | Area of a disk | Geometry | |
| Area of triangle from side lengths | Heron's formula | Geometry | |
| Basic geometry | Geometric objects: points, lines, circles, triangles, and so on | Geometry | Geometry |
| Chords | The properties of chords | Chord (geometry) | Geometry |
| Chord tables | A table of chord lengths indexed by angle | Ptolemy's table of chords | Geometry |
| Conic sections | The categorization and properties of conic sections | Conic section | Geometry |
| Existence of pi | The relationship between the area of a circle and its radius, involving the ratio of the circumference of the circle to its diameter | Pi | Geometry |
| Geometric mean | The relationship between the length of the altitude of a right triangle and the lengths of the segments into which it divides the hypotenuse | Geometric mean theorem | Geometry |
| Inscribed triangle on diameter is right | The angles of triangles inscribed in a circle with one edge on the diameter | Thales' theorem | Geometry |
| Irrational numbers | The existence of incommensurable ratios | Irrational number | Geometry |
| Isosceles base angles equal | The equality of the base angle of isosceles triangles | Pons asinorum | Geometry |
| Law of sines | Law of sines | Geometry | |
| Pi to 6 digits | Zu Chongzhi § Mathematics and Milü | Geometry | |
| Pythagorean theorem | The relationship between the lengths of the hypotenuse of a right triangle and the other two sides | Pythagorean theorem | Geometry |
| Pythagorean triples 3 digit | Examples of triples of large whole numbers which, when taken together, are the lengths of the sides of a right triangle | Pythagorean triples | Geometry |
| Pythagorean triples 4 digit | Examples of triples of very large whole numbers which, when taken together, are the lengths of the sides of a right triangle | Pythagorean triples | Geometry |
| Pythagorean triples small | Examples of triples of small whole numbers which, when taken together, are the lengths of the sides of a right triangle | Pythagorean triples | Geometry |
| Similar and congruent triangles | The properties of similar and congruent triangles | Similarity (geometry) and Congruence (geometry) | Geometry |
| Sum-difference trig identities | Trigonometric identities relating to the sums and differences of angles | List of trigonometric identities § Angle sum and difference identities | Geometry |
| Surface area of sphere | The computation of the surface area of a sphere | Sphere § Surface area | Geometry |
| Volume of cone | The computation of the volume of a cone | Cone § Volume | Geometry |
| Volume of pyramid | The computation of the volume of different pyramids | Pyramid (geometry) § Volume | Geometry |
| Volume of sphere | The computation of the volume of a sphere | Sphere § Volume | Geometry |
| Axioms | Axiomatic reasoning | Axiomatic system | Method |
| Method of exhaustion | An approximation of the ratio of a circumference of a circle to its diameter, using the area of polygons and the method of exhaustion | Method of exhaustion | Method |
| Proof by contradiction | The method of proof by contradiction | Proof by contradiction | Method |
| Algebra | Notation for abbreviating the unknown and other elements of an equation in a systematic and useful fashion | Algebra | Notation |
| Negative numbers | Notation for negative quantities | Negative number | Notation |
| Place values | Positional notation | Positional notation | Notation |
| Scientific notation | Notation for very large numbers | Scientific notation | Notation |
| Symbol for addition | The idea of using symbolic notation for addition | Plus and minus signs § Plus sign | Notation |
| Zero | A symbol for nothingness | 0 (number) | Notation |
| Approximation of root 2 | An approximation for the length of the diagonal of a square | Square root of 2 § History | Numbers |
| Chinese remainder algorithm | An algorithm for computing a number which has given remainders when divided by several given primes | Chinese remainder theorem | Numbers |
| Division | An algorithm for dividing one number into another, possibly yielding a remainder | Euclidean division | Numbers |
| Euclid's Theorem | A proof that there are infinitely many prime numbers | Euclid's theorem | Numbers |
| Euclidean Algorithm | An algorithm for computing the greatest common divisor of two numbers | Euclidean algorithm | Numbers |
| Irrationality of root 2 | A proof that the length of a diagonal of a square is incommensurable with its edge | Square root of 2 § Proofs of irrationality | Numbers |
| Sieve algorithm for primes | Sieve of Eratosthenes | Numbers | |
| Unique prime factorization | The unique decomposition of a number into products of its prime divisors | Fundamental theorem of arithmetic | Numbers |
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