Galois Theory and Advanced Linear Algebra

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Sprache: Englisch

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Beschreibung

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.

Über den Autor

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.

Zusammenfassung

Discusses the fundamental topics in Galois theory and advanced linear algebra

Serves as an easy-to-understand textbook for undergraduate students of linear algebra

Helps students understand other courses, such as Riemannian geometry

Inhaltsverzeichnis

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

Details

Erscheinungsjahr:	2020
Fachbereich:	Arithmetik & Algebra
Genre:	Importe , Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Buch
Inhalt:	ix 351 S. 9 s/w Illustr. 351 p. 9 illus.
ISBN-13:	9789811398483
ISBN-10:	9811398488
Sprache:	Englisch
Einband:	Gebunden
Autor:	Sinha, Rajnikant
Auflage:	1st edition 2020
Hersteller:	Springer Singapore Springer Nature Singapore
Verantwortliche Person für die EU:	Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße:	241 x 160 x 26 mm
Von/Mit:	Rajnikant Sinha
Erscheinungsdatum:	30.01.2020
Gewicht:	0,711 kg