Linear Algebra and Linear Programming (Economics and Management)

Author: Zhou Xunda
Publisher:
Publish Date: 2005-10-01
Features: This book closely aligns with the needs of economic work, fully considers the logic of thinking, highlights key points, provides thorough explanations, progresses step by step, and is easy to understand. It emphasizes the application of linear algebra and linear programming in economics, focuses on integrating with professional courses, ensures appropriate difficulty levels, explains complex concepts in simple terms, encourages generalization, and promotes comprehensive understanding. Adhering to the principle of "building a solid foundation and using only what is necessary," this book focuses on explaining the basic concepts, theories, and methods of linear algebra and linear programming, cultivating students' proficiency in calculations and problem-solving. It maintains high standards in quality and is committed to being responsible to students. The college-level applied mathematics textbook for economics majors is designed for higher vocational college economics majors and includes subjects such as "Calculus," "Linear Algebra and Linear Programming," and "Probability and Statistics." Its features are: closely aligning with the needs of economic work, fully considering the logic of thinking, highlighting key points, providing thorough explanations, progressing step by step, and being easy to understand. "Linear Algebra and Linear Programming" is divided into five chapters, introducing determinants, matrices, and linear equations required for economic work, as well as mathematical models of linear programming problems and the simplex method. It focuses on explaining basic concepts, theories, and methods, cultivating students' proficiency in calculations. Economics majors are not primarily focused on mathematics. Adhering to the principle of "building a solid foundation and using only what is necessary," this book removes certain content and rigorous proofs of theorems that are not urgently needed for economic work. Any content that is optional is omitted, while more space is dedicated to explaining essential material. It also appropriately broadens knowledge and connects with practical applications, strengthening its use in economics, reflecting the guiding principle of "do what is necessary and avoid what is not." Basic courses are not professional courses. Adhering to the principle of "serving the major while the mathematical system," the book carefully balances difficulty levels, avoiding unnecessary complexity, ensuring appropriateness, simplicity, generalization, and comprehensive understanding, achieving the effect of "reaching the apple by jumping a little." In content organization, there is coherence between chapters, with earlier content having a place in later chapters and vice versa, making it "easy to teach and easy to learn." Examples and exercises are the guiding tools, fully reflecting teaching intentions, so great attention is given to their selection. Examples and exercises are carefully designed and selected, perfectly matching the explanations of concepts, theories, and methods. In addition to calculation and economic application problems, there are standardized exercises to test basic concepts and operational skills. Answers to exercises are provided at the end of the book for self-checking. In standardized exercises, "fill-in-the-blank" means writing the correct answer directly in the blank; "multiple-choice" means selecting the correct answer from four options and writing the corresponding letter in parentheses. Quality is the lifeblood of a textbook. Without it, the textbook has no standing. This book is a highly distinctive textbook, particularly outstanding in its explanation of the simplex method. Reducing and eliminating errors are important standards for evaluating textbook quality and a crucial reflection of responsibility to readers. The manuscript has been meticulously proofread and verified to minimize any possible mistakes. If readers gain something from this book and develop an interest in learning linear algebra and linear programming, the author will feel very pleased. Sincerely, we hope readers will provide valuable feedback.