Linear Algebra Tutor and Problem Solutions (Tongji 4th Edition) New Version

Author:, Wu Hong, Luo Jian (editors)
Publisher:
Publish Date: 2006-09-01
Features: "Linear Algebra" is a compulsory foundational course for university students majoring in engineering, economics, and management, as well as a required subject for postgraduate entrance exams. In the national unified postgraduate entrance exam, "Linear Algebra" accounts for approximately 20% of the content. Linear algebra is characterized by its theoretical abstraction, rigorous logical reasoning, and broad engineering applications. Most students find linear algebra abstract and difficult to understand, struggle with grasping fundamental concepts and theorems, and lack clear problem-solving approaches, making it hard to start. To help college students and candidates preparing for postgraduate entrance exams better learn linear algebra and overcome these challenges, we have developed this supplementary textbook based on "Linear Algebra" (4th Edition) compiled by the Mathematics Teaching and Research Office of Tongji University. This textbook consists of the following parts:
1. Concepts, Theorems, and Formulas: Lists the basic concepts, important theorems, and key formulas for each chapter, highlighting essential content that must be mastered or frequently appears in exams.
2. Key and Difficult Point Explanations: Presents the key and challenging content of each chapter, providing corresponding explanations to help students understand these topics more thoroughly.
3. Typical Example Solutions: Offers detailed analysis and solutions to representative problems from the textbook, enabling students to check their work while studying. Due to the diversity of problem-solving methods in linear algebra, most examples provide only one solution.
4. Postgraduate Entrance Exam Example Solutions: Selects representative problems from past postgraduate entrance exam papers for detailed analysis and solutions. These problems cover a wide range of topics, various question types, and strong technicality, helping students generalize and develop problem-solving skills to better master the core content and methods of linear algebra.
5. Synchronous Test Questions: Based on the exam and postgraduate entrance exam content of linear algebra, we have selected a sufficient number of typical questions. At the end of each chapter, two sets of synchronous test questions are provided, along with two simulated mock exams at the end of the book, all accompanied by detailed solutions. These synchronous and mock exams include a significant portion of past postgraduate entrance exam questions. Through these tests, readers can consolidate and further deepen their understanding of fundamental linear algebra concepts, master key problem-solving techniques, assess their grasp of the subject, and develop comprehensive application and adaptability skills.