Posted 2022-08-21Updated 2022-12-21Algebra / Number Theory / Algebraic Number Theory / Commutative Algebra / p-adic Analysis / Local FieldsHensel's Lemma - A Fair Application of Newton's Method and 'Double Induction'We prove the celebrated Hensel's lemma using the so-called Newton's method and "double induction", and try to find solutions of polynomials in $\mathbb{Q}_p$.Read more