Course of analytical geometry

TL;DR

This textbook provides a comprehensive introduction to analytical geometry, emphasizing vector algebra, its applications to lines, planes, and quadrics, and foundational tensor concepts for students across various scientific disciplines.

Contribution

It uniquely integrates vector algebra with tensor notation and applications, offering a detailed pedagogical approach for students in multiple fields.

Findings

In-depth coverage of vector algebra and its applications.

Introduction of tensor notation and prerequisites.

Educational focus for diverse scientific disciplines.

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.