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Mathematical table

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Mathematical tables are tables of information, usually numbers, showing the results of a calculation with varying arguments. Trigonometric tables were used in ancient Greece and India for applications to astronomy and celestial navigation, and continued to be widely used until electronic calculators became cheap and plentiful in the 1970s, in order to simplify and drastically speed up computation.

Trigonometric tableTrigonometric tableLists of values of mathematical functions Trigonometry Outline History Usage Functions (sin, cos, tan, inverse) Generalized trigonometry Reference Identities Exact constants Tables Unit circle Laws and theorems Sines Cosines Pythagorean theorem Tangents Cotangents Calculus Trigonometric substitution Integrals (inverse functions) Derivatives Trigonometric series Mathematicians Hipparchus Ptolemy Brahmagupta al-Hasib al-Battani Regiomontanus Viète de Moivre Euler Fourier vte In mathematics, tables of trigonometric functions are useful in a number of areas.Common logarithmCommon logarithmIn mathematics, the common logarithm (aka "standard logarithm") is the logarithm with base 10. It is also known as the decadic logarithm, the decimal logarithm and the Briggsian logarithm. The name "Briggsian logarithm" is in honor of the British mathematician Henry Briggs who conceived of and developed the values for the "common logarithm". Historically, the "common logarithm" was known by its Latin name logarithmus decimalis or logarithmus decadis.CalculatorCalculatorA calculator is typically a portable electronic device used to perform calculations, ranging from basic arithmetic to complex mathematics. The first solid-state electronic calculator was created in the early 1960s. Pocket-sized devices became available in the 1970s, especially after the Intel 4004, the first microprocessor, was developed by Intel for the Japanese calculator company Busicom.LogarithmLogarithmMathematical function, inverse of an exponential functionPlots of logarithm functions, with three commonly used bases. The special points logb b = 1 are indicated by dotted lines, and all curves intersect in logb 1 = 0.In mathematics, the logarithm of a number is the exponent by which another fixed value, the base, must be raised to produce that number. For example, the logarithm of 1000 to base 10 is 3, because 1000 is 10 to the 3rd power: 1000 = 10 = 10 × 10 × 10.Trigonometric functionsTrigonometric functionsFunctions of an angleBasis of trigonometry: if two right triangles have equal acute angles, they are similar, so their corresponding side lengths are proportional.In mathematics, the trigonometric functions (also called circular functions, angle functions or goniometric functions) are real functions which relate an angle of a right-angled triangle to ratios of two side lengths.Henry Briggs (mathematician)Henry Briggs (mathematician)Henry Briggs (1 February 1561 – 26 January 1630) was an Englishmathematician notable for changing the original logarithms invented by John Napier into common (base 10) logarithms, which are sometimes known as Briggsian logarithms in his honor. The specific algorithm for long division in modern use was introduced by Briggs c. 1600 AD. Briggs was a committed Puritan and an influential professor in his time.John NapierJohn NapierJohn Napier of Merchiston ( ; Latinized as Ioannes Neper; 1 February 1550 – 4 April 1617), nicknamed Marvellous Merchiston, was a Scottish landowner known as a mathematician, physicist and astronomer. He was the 8th Laird of Merchiston. Napier is best known as the discoverer of logarithms. He also invented the Napier's bones calculating device and popularised the use of the decimal point in arithmetic.ComputationComputationA computation is any type of arithmetic or non-arithmetic calculation that is well-defined. Common examples of computation are mathematical equation solving and the execution of computer algorithms. Mechanical or electronic devices (or, historically, people) that perform computations are known as computers. Computer science is an academic field that involves the study of computation.HP-35HP-35The HP-35 was Hewlett-Packard's first pocket calculator and the world's first scientific pocket calculator: a calculator with trigonometric and exponential functions. It was introduced in 1972. HistoryIn about 1970 HP co-founder Bill Hewlett challenged France Rode to create a "shirt-pocket sized HP-9100".Celestial navigationCelestial navigationCelestial navigation, also known as astronavigation, is the practice of position fixing using stars and other celestial bodies that enables a navigator to accurately determine their actual current physical position in space or on the surface of the Earth without relying solely on estimated positional calculations, commonly known as dead reckoning.Table (format)Table (format)A table is a two-dimensional arrangement of information or data, typically in rows and columns, or possibly in a more complex structure. Tables are widely used in communication, research, and data analysis. Tables appear in print media, handwritten notes, computer software, architectural ornamentation, traffic signs, and many other places. The precise conventions and terminology for describing tables vary depending on the context.AstronomyAstronomyAstronomy is a natural science that studies celestial objects and the phenomena that occur in the cosmos. It uses mathematics, physics, and chemistry to explain their origin and their overall evolution. Objects of interest include planets, moons, stars, nebulae, galaxies, meteoroids, asteroids, and comets. Relevant phenomena include supernova explosions, gamma ray bursts, quasars, blazars, pulsars, and cosmic microwave background radiation.

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