Faithin Omaha eBook Collection

Download or read book Galois Theory and Advanced Linear Algebra written by Rajnikant Sinha and published by Springer Nature. This book was released on 2019-12-28 with total page 351 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses major topics in Galois theory and advanced linear algebra, including canonical forms. Divided into four chapters and presenting numerous new theorems, it serves as an easy-to-understand textbook for undergraduate students of advanced linear algebra, and helps students understand other courses, such as Riemannian geometry. The book also discusses key topics including Cayley–Hamilton theorem, Galois groups, Sylvester’s law of inertia, Eisenstein criterion, and solvability by radicals. Readers are assumed to have a grasp of elementary properties of groups, rings, fields, and vector spaces, and familiarity with the elementary properties of positive integers, inner product space of finite dimension and linear transformations is beneficial.