Faster access than browser!
67 relations: Addition, Arithmetic, Basic Books, BBC News Online, Benjamin Peirce, Circle, Complex analysis, Complex number, Constance Reid, De Moivre's formula, E (mathematical constant), Edward Kasner, Electromagnetism, Eli Maor, Encyclopedia of Mathematics, Equality (mathematics), Euler's formula, Exponential function, Exponentiation, Fourier analysis, Gelfond's constant, Harvard University, Imaginary unit, Introductio in analysin infinitorum, James R. Newman, Johann Bernoulli, John Allen Paulos, John Horton Conway, Keith Devlin, Leonhard Euler, Mathematical analysis, Mathematical Association of America, Mathematical beauty, Mathematical constant, Mathematics and the Imagination, Maxwell's equations, Multiplication, Natural logarithm, Octonion, Orbitofrontal cortex, Oxford University Press, Paul J. Nahin, Penguin Books, Philosopher, Physics World, Pi, Polar coordinate system, Popular mathematics, Princeton University Press, Quaternion, ..., Radian, Ratio, Real number, Richard K. Guy, Robert P. Crease, Robin Wilson (mathematician), Roger Cotes, Root of unity, Simon & Schuster, Special case, Stanford University, The Mathematical Intelligencer, Trigonometry, University of New Hampshire, William Dunham (mathematician), 0, 1. Expand index (17 more) »
Addition
Addition (often signified by the plus symbol "+") is one of the four basic operations of arithmetic; the others are subtraction, multiplication and division.
New!!: Euler's identity and Addition · See more »
Arithmetic
Arithmetic (from the Greek ἀριθμός arithmos, "number") is a branch of mathematics that consists of the study of numbers, especially the properties of the traditional operations on them—addition, subtraction, multiplication and division.
New!!: Euler's identity and Arithmetic · See more »
Basic Books
Basic Books is a book publisher founded in 1952 and located in New York, now an imprint of Hachette Books.
New!!: Euler's identity and Basic Books · See more »
BBC News Online
BBC News Online is the website of BBC News, the division of the BBC responsible for newsgathering and production.
New!!: Euler's identity and BBC News Online · See more »
Benjamin Peirce
Benjamin Peirce FRSFor HFRSE April 4, 1809 – October 6, 1880) was an American mathematician who taught at Harvard University for approximately 50 years. He made contributions to celestial mechanics, statistics, number theory, algebra, and the philosophy of mathematics.
New!!: Euler's identity and Benjamin Peirce · See more »
Circle
A circle is a simple closed shape.
New!!: Euler's identity and Circle · See more »
Complex analysis
Complex analysis, traditionally known as the theory of functions of a complex variable, is the branch of mathematical analysis that investigates functions of complex numbers.
New!!: Euler's identity and Complex analysis · See more »
Complex number
A complex number is a number that can be expressed in the form, where and are real numbers, and is a solution of the equation.
New!!: Euler's identity and Complex number · See more »
Constance Reid
Constance Bowman Reid (January 3, 1918 – October 14, 2010) was the author of several biographies of mathematicians and popular books about mathematics.
New!!: Euler's identity and Constance Reid · See more »
De Moivre's formula
In mathematics, de Moivre's formula (also known as de Moivre's theorem and de Moivre's identity), named after Abraham de Moivre, states that for any complex number (and, in particular, for any real number) and integer it holds that where is the imaginary unit.
New!!: Euler's identity and De Moivre's formula · See more »
E (mathematical constant)
The number is a mathematical constant, approximately equal to 2.71828, which appears in many different settings throughout mathematics.
New!!: Euler's identity and E (mathematical constant) · See more »
Edward Kasner
Edward Kasner (April 2, 1878 – January 7, 1955) was a prominent American mathematician who was appointed Tutor on Mathematics in the Columbia University Mathematics Department.
New!!: Euler's identity and Edward Kasner · See more »
Electromagnetism
Electromagnetism is a branch of physics involving the study of the electromagnetic force, a type of physical interaction that occurs between electrically charged particles.
New!!: Euler's identity and Electromagnetism · See more »
Eli Maor
Eli Maor, an Israel-born historian of mathematics, is the author of several books about the history of mathematics.
New!!: Euler's identity and Eli Maor · See more »
Encyclopedia of Mathematics
The Encyclopedia of Mathematics (also EOM and formerly Encyclopaedia of Mathematics) is a large reference work in mathematics.
New!!: Euler's identity and Encyclopedia of Mathematics · See more »
Equality (mathematics)
In mathematics, equality is a relationship between two quantities or, more generally two mathematical expressions, asserting that the quantities have the same value, or that the expressions represent the same mathematical object.
New!!: Euler's identity and Equality (mathematics) · See more »
Euler's formula
Euler's formula, named after Leonhard Euler, is a mathematical formula in complex analysis that establishes the fundamental relationship between the trigonometric functions and the complex exponential function.
New!!: Euler's identity and Euler's formula · See more »
Exponential function
In mathematics, an exponential function is a function of the form in which the argument occurs as an exponent.
New!!: Euler's identity and Exponential function · See more »
Exponentiation
Exponentiation is a mathematical operation, written as, involving two numbers, the base and the exponent.
New!!: Euler's identity and Exponentiation · See more »
Fourier analysis
In mathematics, Fourier analysis is the study of the way general functions may be represented or approximated by sums of simpler trigonometric functions.
New!!: Euler's identity and Fourier analysis · See more »
Gelfond's constant
In mathematics, Gelfond's constant, named after Aleksandr Gelfond, is e, that is, e raised to the power pi.
New!!: Euler's identity and Gelfond's constant · See more »
Harvard University
Harvard University is a private Ivy League research university in Cambridge, Massachusetts.
New!!: Euler's identity and Harvard University · See more »
Imaginary unit
The imaginary unit or unit imaginary number is a solution to the quadratic equation.
New!!: Euler's identity and Imaginary unit · See more »
Introductio in analysin infinitorum
Introductio in analysin infinitorum (Introduction to the Analysis of the Infinite) is a two-volume work by Leonhard Euler which lays the foundations of mathematical analysis.
New!!: Euler's identity and Introductio in analysin infinitorum · See more »
James R. Newman
James Roy Newman (1907–1966) was an American mathematician and mathematical historian.
New!!: Euler's identity and James R. Newman · See more »
Johann Bernoulli
Johann Bernoulli (also known as Jean or John; – 1 January 1748) was a Swiss mathematician and was one of the many prominent mathematicians in the Bernoulli family.
New!!: Euler's identity and Johann Bernoulli · See more »
John Allen Paulos
John Allen Paulos (born July 4, 1945) is an American professor of mathematics at Temple University in Philadelphia, Pennsylvania.
New!!: Euler's identity and John Allen Paulos · See more »
John Horton Conway
John Horton Conway FRS (born 26 December 1937) is an English mathematician active in the theory of finite groups, knot theory, number theory, combinatorial game theory and coding theory.
New!!: Euler's identity and John Horton Conway · See more »
Keith Devlin
Keith J. Devlin (born 16 March 1947) is a British mathematician and popular science writer.
New!!: Euler's identity and Keith Devlin · See more »
Leonhard Euler
Leonhard Euler (Swiss Standard German:; German Standard German:; 15 April 170718 September 1783) was a Swiss mathematician, physicist, astronomer, logician and engineer, who made important and influential discoveries in many branches of mathematics, such as infinitesimal calculus and graph theory, while also making pioneering contributions to several branches such as topology and analytic number theory.
New!!: Euler's identity and Leonhard Euler · See more »
Mathematical analysis
Mathematical analysis is the branch of mathematics dealing with limits and related theories, such as differentiation, integration, measure, infinite series, and analytic functions.
New!!: Euler's identity and Mathematical analysis · See more »
Mathematical Association of America
The Mathematical Association of America (MAA) is a professional society that focuses on mathematics accessible at the undergraduate level.
New!!: Euler's identity and Mathematical Association of America · See more »
Mathematical beauty
Mathematical beauty describes the notion that some mathematicians may derive aesthetic pleasure from their work, and from mathematics in general.
New!!: Euler's identity and Mathematical beauty · See more »
Mathematical constant
A mathematical constant is a special number that is "significantly interesting in some way".
New!!: Euler's identity and Mathematical constant · See more »
Mathematics and the Imagination
Mathematics and the Imagination is a book published in New York by Simon & Schuster in 1940.
New!!: Euler's identity and Mathematics and the Imagination · See more »
Maxwell's equations
Maxwell's equations are a set of partial differential equations that, together with the Lorentz force law, form the foundation of classical electromagnetism, classical optics, and electric circuits.
New!!: Euler's identity and Maxwell's equations · See more »
Multiplication
Multiplication (often denoted by the cross symbol "×", by a point "⋅", by juxtaposition, or, on computers, by an asterisk "∗") is one of the four elementary mathematical operations of arithmetic; with the others being addition, subtraction and division.
New!!: Euler's identity and Multiplication · See more »
Natural logarithm
The natural logarithm of a number is its logarithm to the base of the mathematical constant ''e'', where e is an irrational and transcendental number approximately equal to.
New!!: Euler's identity and Natural logarithm · See more »
Octonion
In mathematics, the octonions are a normed division algebra over the real numbers, usually represented by the capital letter O, using boldface O or blackboard bold \mathbb O. There are three lower-dimensional normed division algebras over the reals: the real numbers R themselves, the complex numbers C, and the quaternions H. The octonions have eight dimensions; twice the number of dimensions of the quaternions, of which they are an extension.
New!!: Euler's identity and Octonion · See more »
Orbitofrontal cortex
The orbitofrontal cortex (OFC) is a prefrontal cortex region in the frontal lobes in the brain which is involved in the cognitive processing of decision-making.
New!!: Euler's identity and Orbitofrontal cortex · See more »
Oxford University Press
Oxford University Press (OUP) is the largest university press in the world, and the second oldest after Cambridge University Press.
New!!: Euler's identity and Oxford University Press · See more »
Paul J. Nahin
Paul J. Nahin (born November 26, 1940) is an engineer and author who has written 18 books on topics in physics and mathematics, including biographies of Oliver Heaviside, George Boole, and Claude Shannon, books on mathematical concepts such as Euler's formula and the imaginary unit, and a number of books on the physics and philosophical puzzles of time travel.
New!!: Euler's identity and Paul J. Nahin · See more »
Penguin Books
Penguin Books is a British publishing house.
New!!: Euler's identity and Penguin Books · See more »
Philosopher
A philosopher is someone who practices philosophy, which involves rational inquiry into areas that are outside either theology or science.
New!!: Euler's identity and Philosopher · See more »
Physics World
Physics World is the membership magazine of the Institute of Physics, one of the largest physical societies in the world.
New!!: Euler's identity and Physics World · See more »
Pi
The number is a mathematical constant.
New!!: Euler's identity and Pi · See more »
Polar coordinate system
In mathematics, the polar coordinate system is a two-dimensional coordinate system in which each point on a plane is determined by a distance from a reference point and an angle from a reference direction.
New!!: Euler's identity and Polar coordinate system · See more »
Popular mathematics
Popular mathematics is mathematical presentation aimed at a general audience.
New!!: Euler's identity and Popular mathematics · See more »
Princeton University Press
Princeton University Press is an independent publisher with close connections to Princeton University.
New!!: Euler's identity and Princeton University Press · See more »
Quaternion
In mathematics, the quaternions are a number system that extends the complex numbers.
New!!: Euler's identity and Quaternion · See more »
Radian
The radian (SI symbol rad) is the SI unit for measuring angles, and is the standard unit of angular measure used in many areas of mathematics.
New!!: Euler's identity and Radian · See more »
Ratio
In mathematics, a ratio is a relationship between two numbers indicating how many times the first number contains the second.
New!!: Euler's identity and Ratio · See more »
Real number
In mathematics, a real number is a value of a continuous quantity that can represent a distance along a line.
New!!: Euler's identity and Real number · See more »
Richard K. Guy
Richard Kenneth Guy (born 30 September 1916) is a British mathematician, professor emeritus in the Department of Mathematics at the University of Calgary.
New!!: Euler's identity and Richard K. Guy · See more »
Robert P. Crease
Robert P. Crease (born 22 October 1953 in Philadelphia, Pennsylvania) is a philosopher and historian of science.
New!!: Euler's identity and Robert P. Crease · See more »
Robin Wilson (mathematician)
Robin James Wilson (born 5 December 1943) is an emeritus professor in the Department of Mathematics at the Open University, having previously been Head of the Pure Mathematics Department and Dean of the Faculty.
New!!: Euler's identity and Robin Wilson (mathematician) · See more »
Roger Cotes
Roger Cotes FRS (10 July 1682 – 5 June 1716) was an English mathematician, known for working closely with Isaac Newton by proofreading the second edition of his famous book, the Principia, before publication.
New!!: Euler's identity and Roger Cotes · See more »
Root of unity
In mathematics, a root of unity, occasionally called a de Moivre number, is any complex number that gives 1 when raised to some positive integer power.
New!!: Euler's identity and Root of unity · See more »
Simon & Schuster
Simon & Schuster, Inc., a subsidiary of CBS Corporation, is an American publishing company founded in New York City in 1924 by Richard Simon and Max Schuster.
New!!: Euler's identity and Simon & Schuster · See more »
Special case
In logic, especially as applied in mathematics, concept is a special case or specialization of concept precisely if every instance of is also an instance of but not vice versa, or equivalently, if is a generalization of.
New!!: Euler's identity and Special case · See more »
Stanford University
Stanford University (officially Leland Stanford Junior University, colloquially the Farm) is a private research university in Stanford, California.
New!!: Euler's identity and Stanford University · See more »
The Mathematical Intelligencer
The Mathematical Intelligencer is a mathematical journal published by Springer Verlag that aims at a conversational and scholarly tone, rather than the technical and specialist tone more common among academic journals.
New!!: Euler's identity and The Mathematical Intelligencer · See more »
Trigonometry
Trigonometry (from Greek trigōnon, "triangle" and metron, "measure") is a branch of mathematics that studies relationships involving lengths and angles of triangles.
New!!: Euler's identity and Trigonometry · See more »
University of New Hampshire
The University of New Hampshire (UNH) is a public research university in the University System of New Hampshire, in the United States.
New!!: Euler's identity and University of New Hampshire · See more »
William Dunham (mathematician)
William Wade Dunham (born 1947) is an American writer who was originally trained in topology but became interested in the history of mathematics and specializes in Leonhard Euler.
New!!: Euler's identity and William Dunham (mathematician) · See more »
0
0 (zero) is both a number and the numerical digit used to represent that number in numerals.
New!!: Euler's identity and 0 · See more »
1
1 (one, also called unit, unity, and (multiplicative) identity) is a number, numeral, and glyph.
New!!: Euler's identity and 1 · See more »
Redirects here:
E pi i, E raised to pi i, E raised to the pi i, E raised to the power of pi i, E to i times pi equals minus one, E to pi i, E to pi i equals minus one, E to the i pi, E to the pi i, E**ipi, E**ix, E^i pi, E^i*pi, E^i*pi=-1, E^ip + 1 = 0, E^ip+1=0, E^ipi, E^iπ, E^iπ + 1 = 0, E^iπ+1=0, E^iπ=-1, E^pi*i+1=0, E^πi, Eipi, Eiπ, Euler identity, Euler's Identity, Eulers golden equation, Eulers identity, Eî pi.
References
[1] https://en.wikipedia.org/wiki/Euler's_identity
