Course of analytical geometry

Abstract

This book is a regular textbook of analytical geometry covering vector algebra and its applications to describing straight lines, planes, and quadrics in two and three dimensions. The stress is made on vector algebra by using skew-angular coordinates and by introducing some notations and prerequisites for understanding tensors. The book is addressed to students specializing in mathematics, physics, engineering, and technologies and to students of other specialities where educational standards require learning this subject.

Second English edition: AmSTeX, 227 pages, amsppt style

Cited by in corpus (10)

• Asymptotic estimates for roots of the cuboid characteristic equation in the linear region
• On linear regression in three-dimensional Euclidean space
• The Diffraction of Microparticles on Single-layer and Multi-layer Statistically Uneven Surfaces
• On some higher degree sign-definite multivariate polynomials associated with definite quadratic forms
• On quartic forms associated with cubic transformations of the real plane
• On positive bivariate quartic forms
• Hadamard matrices in $\{0,1\}$ presentation and an algorithm for generating them
• On cylindrical regression in three-dimensional Euclidean space
• On simultaneous approximation of several eigenvalues of a semi-definite self-adjoint linear operator in a Hilbert space
• A rough classification of potentially invertible cubic transformations of the real plane