Study Guide for Engineering Mathematics: A Series of Textbooks for University Mathematics Foundation Courses

Author: Su Meizhen
Publisher:
Publish Date: 2005-09-01
Features: This book is a learning and postgraduate entrance exam preparation guide compiled based on the teaching requirements approved by the Ministry of Education of China for "Engineering Mathematics" and the syllabus for postgraduate entrance exams. It summarizes the authors' extensive teaching experience. The book is divided into two parts. The first part, "Linear Algebra," introduces determinants, matrices, vectors and linear spaces, systems of linear equations, eigenvalues and eigenvectors of matrices, and quadratic forms. The second part, "Introduction to Probability and Mathematical Statistics," covers random events and probability, random variables and their probability distributions, digital characteristics of two-dimensional random variables, the law of large numbers and the central limit theorem, basic concepts of mathematical statistics, parameter estimation, and hypothesis testing. Each chapter of the book is divided into five sections: Basic Requirements and Key Points, Content Summary, Example Analysis, Exercises, and Self-Test Questions. The Basic Requirements and Content Summary are concise and detailed, helping readers understand the requirements and grasp the key points. The Example Analysis section provides a rich variety of examples and covers a wide range of question types, with difficulty ranging from basic knowledge to more challenging postgraduate entrance exam simulation questions. Notably, it includes solutions and analyses of selected postgraduate entrance exam questions from the past decade. The book emphasizes the understanding of fundamental concepts, helping readers master correct problem-solving approaches and summarize problem-solving patterns. Additionally, answers or hints to the exercises and self-test questions are provided at the end of the book, allowing readers to compare and reference their independent solutions for self-assessment. This book can also serve as a teaching reference for undergraduate and junior college students majoring in non-mathematics disciplines studying "Engineering Mathematics," as well as a reference guide for postgraduate entrance exam preparation.