### Some articles on *galois*:

Arthur Milgram

... geometry, topology, partial differential equations, and

... geometry, topology, partial differential equations, and

**Galois**theory ... In Emil Artin's book**Galois**Theory, Milgram also discussed some applications of**Galois**theory ...Embedding Problem

... In

... In

**Galois**theory, a branch of mathematics, the embedding problem is a generalization of the inverse**Galois**problem ... Roughly speaking, it asks whether a given**Galois**extension can be embedded into a**Galois**extension in such a way that the restriction map between the corresponding**Galois**groups is given ...Liouville's Theorem (differential Algebra) - Relationship With Differential

... Liouville's theorem is sometimes presented as a theorem in differential

**Galois**Theory... Liouville's theorem is sometimes presented as a theorem in differential

**Galois**theory, but this is not strictly true ... The theorem can be proved without any use of**Galois**theory ... Furthermore, the**Galois**group of a simple antiderivative is either trivial (if no field extension is required to express it), or is simply the additive ...The Story Of Maths - "To Infinity and Beyond" - Algebraic Geometry

... Évariste

... Évariste

**Galois**had refined a new language for mathematics ...**Galois**believed mathematics should be the study of structure as opposed to number and shape ...**Galois**had discovered new techniques to tell whether certain equations could have solutions or not ...Cubic Field -

... A cyclic cubic field K is its own

**Galois**Closure... A cyclic cubic field K is its own

**Galois**closure with**Galois**group Gal(K/Q) isomorphic to the cyclic group of order three ... However, any other cubic field K is a non-**galois**extension of Q and has a field extension N of degree two as its**Galois**closure ... The**Galois**group Gal(N/Q) is isomorphic to the symmetric group S3 on three letters ...