Learn about Euler's identity, a special case of Euler's formula that involves five fundamental mathematical constants and is considered a masterpiece of mathematics. Explore how complex numbers, polar form and rotation explain the identity and its applications.

Euler's formula states that for any real or complex number x, eix = cos x + i sin x, where e is the base of the natural logarithm and i is the imaginary unit. Learn the history, proofs, applications, and interpretations of this fundamental formula in complex analysis.

Learn about Euler's formula, a trigonometric identity that relates e, i, and x, and Euler's polyhedra formula, a topological invariance that relates the number of faces, vertices, and edges of any polyhedron.

Learn about Euler's formula and Euler's identity in this Khan Academy video.

A special, and quite fascinating, consequence of Euler's formula is the identity , which relates five of the most fundamental numbers in all of mathematics: e, i, pi, 0, and 1.

Learn the Euler formula, also known as the Euler identity, that relates exponential, trigonometric, and logarithmic functions. See how it can be derived from series or complex integral, and explore its applications and implications.

Learn how to use Euler's formula ei = cos + i sin to understand trigonometric functions in terms of complex exponentials. See how to apply this to calculate integrals involving sine and cosine.

Learn what Euler's identity is, why it is so beautiful and how it connects five of the most important numbers and operations in mathematics. Discover the link between complex numbers, exponential function and trigonometric functions.

Learn how Euler's Formula relates complex numbers to trigonometric functions, and how it leads to Euler's Identity. Explore examples, graphs, and applications of this amazing equation.