Galois theory and advanced linear algebra. (©2020)

• Record Type: Book
• Further Information: Note: Rajnikant Sinha.
• Other Names: Sinha, Rajnikant
• Contents: Intro -- Preface -- Contents -- About the Author -- 1 Galois Theory I -- 1.1 Euclidean Rings -- 1.2 Polynomial Rings -- 1.3 The Eisenstein Criterion -- 1.4 Roots of Polynomials -- 1.5 Splitting Fields -- Exercises -- 2 Galois Theory II -- 2.1 Simple Extensions -- 2.2 Galois Groups -- 2.3 Applications of Galois Theory -- 2.4 Solvability By Radicals -- 3 Linear Transformations -- 3.1 Eigenvalues -- 3.2 Canonical Forms -- 3.3 The Cayley-Hamilton Theorem -- 4 Sylvester's Law of Inertia -- 4.1 Positive Definite Matrices -- 4.2 Sylvester's Law -- 4.3 Application to Riemannian Geometry
• Publisher Details: Singapore : Springer
• Publication Date: 2020
• Copyright Date: 2020
• Extent: 1 online resource
• Subjects: 512/.32; Galois theory; Algebras, Linear; Algebras, Linear; Galois theory; Electronic books
• Languages: English
• ISBNs: 9789811398490; 9811398496; 9789811398506; 9789811398513; 9811398518
• Related ISBNs: 981139850X; 9811398488; 9789811398483
• Notes: Note: Includes bibliographical references.
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.