Solutions to Exercises in Advanced Algebra and Analytic Geometry

Author: Chen Xianping
Publisher:
Publish Date: 2004-03-01
Features: This book helps students understand and master the basic concepts of advanced algebra and analytical geometry through review and reflection questions. It introduces and explains various methods, techniques, and problem-solving approaches with a large number of examples. The examples are divided into three levels—basic, general, and advanced—to suit different teaching and learning needs. The book covers topics such as vector algebra, determinants, systems of linear equations and linear subspaces, matrices, planes and lines, linear spaces and Euclidean spaces, surfaces and curves, linear transformations, functions on linear spaces, coordinate transformations and point transformations, polynomials, Jordan canonical forms and their applications. Each chapter includes exercises and self-assessment questions, and the book provides selected postgraduate entrance examination questions with detailed solutions at the end.