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Euler's great interest in number theory can be traced to the influence of his friend in the St. Peterburg Academy, Christian Goldbach. A lot of his early work on number theory was based on the works of Pierre de Fermat, and developed some of Fermat's ideas. One focus of Euler's work was to link the nature of prime distribution with ideas in ...
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Euler is designed for higher level math such as calculus, optimization, and statistics. The software can handle real, complex and interval numbers, vectors and matrices, it can produce 2D/3D plots, and uses Maxima for symbolic operations. The software is compilable with Windows. The Unix and Linux versions do not contain a computer algebra ...
Euler's number e corresponds to shaded area equal to 1, introduced in chapter VII. Introductio in analysin infinitorum (Latin: [1] Introduction to the Analysis of the Infinite) is a two-volume work by Leonhard Euler which lays the foundations of mathematical analysis.
Leonhard Euler (/ ˈ ɔɪ l ər / OY-lər; [b] German: [ˈleːɔnhaʁt ˈʔɔʏlɐ] ⓘ, Swiss Standard German: [ˈleɔnhard ˈɔʏlər]; 15 April 1707 – 18 September 1783) was a Swiss polymath who was active as a mathematician, physicist, astronomer, logician, geographer, and engineer.
Institutiones calculi integralis (Foundations of integral calculus) is a three-volume textbook written by Leonhard Euler and published in 1768. It was on the subject of integral calculus and contained many of Euler's discoveries about differential equations .It was written after "Institutiones calculi differentialis" (1755) and "Introductio in ...
Euler's formula is ubiquitous in mathematics, physics, chemistry, and engineering. The physicist Richard Feynman called the equation "our jewel" and "the most remarkable formula in mathematics". [2] When x = π, Euler's formula may be rewritten as e iπ + 1 = 0 or e iπ = −1, which is known as Euler's identity.
Euler's infinite tetration theorem – About the limit of iterated exponentiation; Euler's rotation theorem – Movement with a fixed point is rotation; Euler's theorem (differential geometry) – Orthogonality of the directions of the principal curvatures of a surface; Euler's theorem in geometry – On distance between centers of a triangle