Linear algebra and geometry

Author: Zhao Lianchang
Publisher:
Publish Date: 2003-04-01
Features: This book is a research outcome of the "Reform Plan for Teaching Content and Curriculum System in Higher Education Towards the 21st Century" by the Ministry of Education. It is a textbook for the 21st-century curriculum and the "Nineth Five-Year Plan" textbook for the discipline of engineering mathematics by the Ministry of Education. The book consists of seven chapters: Vector Algebra and Vector Spaces, Spatial Analytic Geometry, Matrices and Determinants, Systems of Linear Equations, Linear Transformations, Eigenvalues, Eigenvectors, and Matrix Diagonalization, Quadratic Forms. The appendices include: Groups, Rings, and Fields, Applied Examples - The Mathematical Model of Input-Output Comprehensive Equilibrium, Jordan Normal Form, and Proofs of Four Theorems. This book can be used as a textbook for undergraduate students in various engineering disciplines at universities, as well as a teaching material or reference book for non-mathematics major science disciplines.