
Linear algebra vector algebra and analyitical geometry
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This textbook consists of 3 parts devoted to the mathematical methods of Linear Algebra and Analytical Geometry based on the vector analysis technique. The basic concepts are explained by examples and illustrated by figures.
The textbook is helpful for students who want to understand and be able to use matrix operations, solve systems of linear equations, analyze relative positions of figures, transform coordinate systems, and so on.
The textbook is designed to English speaking students. This textbook is intended for students who have already studied basic mathematics and need to study the methods of higher mathematics. It covers three content areas: Linear Algebra, Vector Algebra and Analytical Geometry. Each part contains basic mathematical conceptions and explains new mathematical terms. Many useful examples and exercises are presented in the textbook. explained and illustrated by examples and exercises. The Linear Algebra topics include matrix operations, determinants and systems of linear equations. In the section "Vector Algebra", a main attention is paid to the geometrical applications of vector operations. The vector approach is considered to be basic for discussion of classic problems of Analytical Geometry. The author welcomes reader's suggestions for improvement of future editions of this textbook.