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Basel problem and Leonhard Euler

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between Basel problem and Leonhard Euler

Basel problem vs. Leonhard Euler

The Basel problem is a problem in mathematical analysis with relevance to number theory, first posed by Pietro Mengoli in 1644 and solved by Leonhard Euler in 1734 and read on 5 December 1735 in ''The Saint Petersburg Academy of Sciences''. 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.

Similarities between Basel problem and Leonhard Euler

Basel problem and Leonhard Euler have 18 things in common (in Unionpedia): Augustin-Louis Cauchy, Basel, Bernoulli family, Bernoulli number, Calculus, Complex analysis, Complex number, De Moivre's formula, Euler–Mascheroni constant, Logarithm, Mathematical analysis, Mathematician, Newton's identities, Number theory, Prime number, Riemann zeta function, The Mathematical Intelligencer, Trigonometric functions.

Augustin-Louis Cauchy

Baron Augustin-Louis Cauchy FRS FRSE (21 August 178923 May 1857) was a French mathematician, engineer and physicist who made pioneering contributions to several branches of mathematics, including: mathematical analysis and continuum mechanics.

Augustin-Louis Cauchy and Basel problem · Augustin-Louis Cauchy and Leonhard Euler · See more »

Basel

Basel (also Basle; Basel; Bâle; Basilea) is a city in northwestern Switzerland on the river Rhine.

Basel and Basel problem · Basel and Leonhard Euler · See more »

Bernoulli family

The Bernoulli family of Basel is a patrician family, notable for having produced eight mathematically gifted academics who, between them, contributed to the foundations of applied mathematics and physics during the early modern period.

Basel problem and Bernoulli family · Bernoulli family and Leonhard Euler · See more »

Bernoulli number

In mathematics, the Bernoulli numbers are a sequence of rational numbers which occur frequently in number theory.

Basel problem and Bernoulli number · Bernoulli number and Leonhard Euler · See more »

Calculus

Calculus (from Latin calculus, literally 'small pebble', used for counting and calculations, as on an abacus), is the mathematical study of continuous change, in the same way that geometry is the study of shape and algebra is the study of generalizations of arithmetic operations.

Basel problem and Calculus · Calculus and Leonhard Euler · 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.

Basel problem and Complex analysis · Complex analysis and Leonhard Euler · 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.

Basel problem and Complex number · Complex number and Leonhard Euler · 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.

Basel problem and De Moivre's formula · De Moivre's formula and Leonhard Euler · See more »

Euler–Mascheroni constant

The Euler–Mascheroni constant (also called Euler's constant) is a mathematical constant recurring in analysis and number theory, usually denoted by the lowercase Greek letter gamma.

Basel problem and Euler–Mascheroni constant · Euler–Mascheroni constant and Leonhard Euler · See more »

Logarithm

In mathematics, the logarithm is the inverse function to exponentiation.

Basel problem and Logarithm · Leonhard Euler and Logarithm · 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.

Basel problem and Mathematical analysis · Leonhard Euler and Mathematical analysis · See more »

Mathematician

A mathematician is someone who uses an extensive knowledge of mathematics in his or her work, typically to solve mathematical problems.

Basel problem and Mathematician · Leonhard Euler and Mathematician · See more »

Newton's identities

In mathematics, Newton's identities, also known as the Newton–Girard formulae, give relations between two types of symmetric polynomials, namely between power sums and elementary symmetric polynomials.

Basel problem and Newton's identities · Leonhard Euler and Newton's identities · See more »

Number theory

Number theory, or in older usage arithmetic, is a branch of pure mathematics devoted primarily to the study of the integers.

Basel problem and Number theory · Leonhard Euler and Number theory · See more »

Prime number

A prime number (or a prime) is a natural number greater than 1 that cannot be formed by multiplying two smaller natural numbers.

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Riemann zeta function

The Riemann zeta function or Euler–Riemann zeta function,, is a function of a complex variable s that analytically continues the sum of the Dirichlet series which converges when the real part of is greater than 1.

Basel problem and Riemann zeta function · Leonhard Euler and Riemann zeta function · 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.

Basel problem and The Mathematical Intelligencer · Leonhard Euler and The Mathematical Intelligencer · See more »

Trigonometric functions

In mathematics, the trigonometric functions (also called circular functions, angle functions or goniometric functions) are functions of an angle.

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The list above answers the following questions

Basel problem and Leonhard Euler Comparison

Basel problem has 71 relations, while Leonhard Euler has 247. As they have in common 18, the Jaccard index is 5.66% = 18 / (71 + 247).

References

This article shows the relationship between Basel problem and Leonhard Euler. To access each article from which the information was extracted, please visit:

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