Euler's conjecture is a disproved conjecture in mathematics related to Fermat's last theorem which was proposed by Leonhard Euler in 1769.

A statement attributed to Pierre-Simon Laplace expresses Euler's influence on mathematics: " Read Euler, read Euler, he is the master of us all.

On July 10, 1726, Nicolas died of appendicitis after spending a year in Russia, and when Daniel assumed his brother's position in the mathematics / physics division, he recommended that the post in physiology that he had vacated be filled by his friend Euler.

Euler succeeded him as the head of the mathematics department.

Euler worked in almost all areas of mathematics: geometry, infinitesimal calculus, trigonometry, algebra, and number theory, as well as continuum physics, lunar theory and other areas of physics.

The mathematician Leonhard Euler was one of the first to analyze plane mazes mathematically, and in doing so made the first significant contributions to the branch of mathematics known as topology.

So she pored over every book on mathematics in her father's library, even teaching herself Latin and Greek so she could read works like those of Sir Isaac Newton and Leonhard Euler.

In mathematics, and more specifically in algebraic topology and polyhedral combinatorics, the Euler characteristic ( or Euler – Poincaré characteristic ) is a topological invariant, a number that describes a topological space's shape or structure regardless of the way it is bent.

In modern mathematics, the Euler characteristic arises from homology and connects to many other invariants.

In mathematics, there are two types of Euler integral:

In mathematics, the beta function, also called the Euler integral of the first kind, is a special function defined by

In 2005, Halmos and his wife Virginia funded the Euler Book Prize, an annual award given by the Mathematical Association of America for a book that is likely to improve the view of mathematics among the public.

In mathematics, the pentagonal number theorem, originally due to Euler, relates the product and series representations of the Euler function.

Some coordinate systems in mathematics behave as if there were real gimbals used to measure the angles, notably Euler angles.

The problem of the gimbal lock appears when one uses the Euler angles in an application of mathematics, for example in a computer program ( 3D modeling, embedded navigation systems, 3D video games, metaverses, ...).

In mathematics, the generalized Gauss – Bonnet theorem ( also called Chern – Gauss – Bonnet theorem ) presents the Euler characteristic of a closed even-dimensional Riemannian manifold as an integral of a certain polynomial derived from its curvature.

They individually can be labelled yaw, pitch, and roll, but in mathematics are more often known by their mathematical name, Euler angles.

* Euler gives up his post as director of mathematics at the Prussian Academy of Sciences and returns to Saint Petersburg.

* Leonhard Euler publishes Introductio in analysin infinitorum, an introduction to pure analytical mathematics.

In mathematics, a Graeco-Latin square or Euler square or orthogonal Latin squares of order n over two sets S and T, each consisting of n symbols, is an n × n arrangement of cells, each cell containing an ordered pair ( s, t ), where s is in S and t is in T, such that every row and every column contains each element of S and each element of T exactly once, and that no two cells contain the same ordered pair.

In mathematics, the Riemann – Hurwitz formula, named after Bernhard Riemann and Adolf Hurwitz, describes the relationship of the Euler characteristics of two surfaces when one is a ramified covering of the other.

The technique has been applied in the study of mathematics and logic since before Aristotle ( 384 – 322 B. C.

In mathematics, the axiom of regularity ( also known as the axiom of foundation ) is one of the axioms of Zermelo – Fraenkel set theory and was introduced by.

The axiom of regularity is arguably the least useful ingredient of Zermelo – Fraenkel set theory, since virtually all results in the branches of mathematics based on set theory hold even in the absence of regularity ( see chapter 3 of ).

In mathematics, the arithmetic – geometric mean ( AGM ) of two positive real numbers and is defined as follows:

In mathematics, the Borsuk – Ulam theorem, named after Stanisław Ulam and Karol Borsuk, states that every continuous function from an n-sphere into Euclidean n-space maps some pair of antipodal points to the same point.

His father, Étienne Pascal ( 1588 – 1651 ), who also had an interest in science and mathematics, was a local judge and member of the " Noblesse de Robe ".

William Frederick Schelter ( 1947 – July 30, 2001 ) was a professor of mathematics at The University of Texas at Austin and a Lisp developer and programmer.

Similarly, the influences of philosophers such as Sir Francis Bacon ( 1561 – 1626 ) and René Descartes ( 1596 – 1650 ), who demanded more rigor in mathematics and in removing bias from scientific observations, led to a scientific revolution.

The contributions of Kurt Gödel in 1940 and Paul Cohen in 1963 showed that the hypothesis can neither be disproved nor be proved using the axioms of Zermelo – Fraenkel set theory, the standard foundation of modern mathematics, provided ZF set theory is consistent.

He passed the examination in the elements of mathematics and the theory of navigation at the Royal Naval Academy on 2 – 4 September 1816, and became a 1st Lieutenant on 1 September 1818.

In 1949, while doing unrelated archival work, the historian of mathematics Carolyn Eisele ( 1902 – 2000 ) chanced on an autograph letter by Peirce.

* Theoretical chemistry – study of chemistry via fundamental theoretical reasoning ( usually within mathematics or physics ).

In mathematics, the Cauchy – Riemann differential equations in complex analysis, named after Augustin Cauchy and Bernhard Riemann, consist of a system of two partial differential equations which must be satisfied if we know that a complex function is complex differentiable.

" The new grounding of mathematics: First report ," 1115 – 33.

" The logical foundations of mathematics ," 1134 – 47.

" The foundations of mathematics ," with comment by Weyl and Appendix by Bernays, 464 – 89.

In contrast to real numbers that have the property of varying " smoothly ", the objects studied in discrete mathematics – such as integers, graphs, and statements in logic – do not vary smoothly in this way, but have distinct, separated values.

The Englert – Greenberger duality relation provides a detailed treatment of the mathematics of double-slit interference in the context of quantum mechanics.

* 500 – Science ( including mathematics )

In mathematics, an infinite series will sometimes converge –

In mathematics, more specifically in abstract algebra and ring theory, a Euclidean domain ( also called a Euclidean ring ) is a ring that can be endowed with a certain structure – namely a Euclidean function, to be described in detail below – which allows a suitable generalization of the Euclidean division of the integers.