Galois Theory and Advanced Linear Algebra

1. Auflage 2020
ISBN: 978-981-13-9848-3
Verlag: Springer Nature Singapore

Buch, Englisch, 351 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 711 g

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.

Zielgruppe

Research

Autoren/Hrsg.

Sinha, Rajnikant

Fachgebiete

• Mathematik | Informatik Mathematik Algebra Lineare und multilineare Algebra, Matrizentheorie

Inhaltsverzeichnis

Galois Theory I.- Galois Theory II.- Linear Transformations.- Sylvester’s Law of Inertia.- Bibliography.

Über Autor(innen)

Rajnikant Sinha is a former Professor of Mathematics at Magadh University, Bodh Gaya, India. A passionate mathematician, Prof. Sinha has published numerous interesting research findings in international journals, and has authored three textbooks with Springer Nature: Smooth Manifolds, Real and Complex Analysis: Volume 1, and Real and Complex Analysis: Volume 2; and a contributed volume on Solutions to Weatherburn’s Elementary Vector Analysis: With Applications to Geometry and Mechanics (with another publisher). His research focuses on topological vector spaces, differential geometry and manifolds.