Galois Theory and Advanced Linear Algebra 1st Edition Rajnikant Sinha 9811398496 9789811398490

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Product details:

• ISBN 10: 9811398496
• ISBN 13: 9789811398490
• Author: Rajnikant Sinha

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.

Table of contents:

1. Galois Theory I

2. Galois Theory II

3. Linear Transformations

4. Sylvester’s Law of Inertia

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