University Mathematics Exercises Selected and Solved

Author: Fan Lin
Publisher:
Publish Date: 2003-07-01
Features: This book is compiled from nearly 10,000 exercises from domestic and international "Advanced Mathematics," "Linear Algebra," and "Probability Theory and Mathematical Statistics," selecting over 500 exercises and providing solutions for all of them. The number of exercises in each section is determined comprehensively based on the course hour distribution and the distribution of postgraduate entrance examination questions. The exercises selected in this book cover the basic content and requirements of university mathematics courses. The book is divided into three parts, totaling sixteen chapters. Part I Advanced Mathematics, covering: limits and continuity of single-variable functions, differential calculus of single-variable functions, integral calculus of single-variable functions, vector algebra and spatial analytical geometry, differential calculus of multivariable functions, integral calculus of multivariable functions, infinite series, and ordinary differential equations, totaling eight chapters. Part II Linear Algebra, covering: determinants and matrices, vectors, systems of linear equations, similar matrices and quadratic forms, totaling four chapters. Part III Probability Theory and Mathematical Statistics, covering: random events and probability, random variables and their probability distributions, the digital characteristics and limit theorems of random variables, and an introduction to mathematical statistics, totaling four chapters. This book can serve as a reference for undergraduate students and those with equivalent qualifications preparing for postgraduate entrance examinations, as well as for relevant teachers and engineering.