Galois Theory and Advanced Linear Algebra
Seiten
2021
|
1st ed. 2020
Springer Verlag, Singapore
978-981-13-9851-3 (ISBN)
Springer Verlag, Singapore
978-981-13-9851-3 (ISBN)
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.
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.
Galois Theory I.- Galois Theory II.- Linear Transformations.- Sylvester’s Law of Inertia.- Bibliography.
| Erscheinungsdatum | 25.02.2021 |
|---|---|
| Zusatzinfo | 9 Illustrations, black and white; IX, 351 p. 9 illus. |
| Verlagsort | Singapore |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Algebra |
| Schlagworte | Canonical Forms • Cayley-Hamilton theorem • eigenvalues • Euclidean Rings • Galois Theory • linear algebra • polynomial rings • Splitting Fields • Sylvester's Law • Sylvester’s Law • The Eisenstein Criterion |
| ISBN-10 | 981-13-9851-8 / 9811398518 |
| ISBN-13 | 978-981-13-9851-3 / 9789811398513 |
| Zustand | Neuware |
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Buch | Softcover (2022)
Springer Spektrum (Verlag)
CHF 55,95
