Linear Algebra and Analytic Geometry

Author: Zheng Guangping
Publisher:
Publish Date: 2004-05-01
Features: The progress of human civilization and social development is constantly benefited by and influenced by mathematics. The application and development of mathematical science have firmly established its foundational position in all scientific and technological fields as well as many humanities. In the current era, mathematics is breaking through its traditional scope of application and permeating almost all fields of human knowledge. Its interaction with other disciplines is unprecedentedly active, increasingly contributing directly to human material production and daily life, and becoming the key that its masters use to open numerous opportunities. Linear algebra and spatial analytical geometry theory are the foundational parts of mathematical science. They are the fundamental mathematical tools for studying physics, chemistry, astronomy, geology, biology, and fundamental mechanics. They possess abstractness, universality, rigor, systematicity, and developmental nature, and are applied in various fields of natural sciences, social sciences, and engineering technologies to different depths and extents, playing a positive and important role in human understanding and transforming nature. Especially since the 1960s, with the rapid development of computer technology, this role has become clearer and more vibrant. The linear algebra section in Linear Algebra and Analytical Geometry adopts a matrix-centered writing approach, striving to organically integrate linear algebra with spatial analytical geometry. It aims to be easy to understand, progressive from simple to complex, systematic, practical, and development-oriented, thereby enhancing students' abstract thinking ability, logical reasoning ability, computational ability, and problem-solving ability. This textbook is also an attempt at reform and innovation in mathematics.