Course of linear algebra and multidimensional geometry

Abstract

This is a standard textbook for the course of linear algebra and multidimensional geometry as it was taught in 1991-1998 at Mathematical Department of Bashkir State University. Both coordinate and invariant approaches are used, but invariant approach is preferred.

The textbook, AmSTeX, 143 pages, amsppt style, prepared for double side printing on letter size paper

Cited by in corpus (15)

• Classical Electrodynamics and Theory of Relativity
• Hermite-Hadamard-type inequalities in the approximate integration
• A note on invertible quadratic transformations of the real plane
• Algorithms for laying points optimally on a plane and a circle
• Hadamard matrices in $\{0,1\}$ presentation and an algorithm for generating them
• A note on pairs of metrics in a three-dimensional linear vector space
• Comparison of two classifications of a class of ODE's in the first case of intermediate degeneration
• On positive bivariate quartic forms
• On some higher degree sign-definite multivariate polynomials associated with definite quadratic forms
• Spinor functions of spinors and the concept of extended spinor fields
• On deformations of metrics and their associated spinor structures
• Foundations of geometry for university students and high-school students
• On simultaneous approximation of several eigenvalues of a semi-definite self-adjoint linear operator in a Hilbert space
• On cylindrical regression in three-dimensional Euclidean space
• Tensor functions of tensors and the concept of extended tensor fields