Advanced Mathematics - (Lower Half)

Author: Zhang Hanlin
Publisher:
Publish Date: 2007-02-01
Features: This book primarily includes the following content: Vector Algebra and Space Analytic Geometry, Multivariable Calculus, Multiple Integrals, Line and Surface Integrals, Infinite Series and Differential Equations. Each chapter is equipped with a sufficient number of examples and exercises, and appropriate comprehensive practice problems are arranged for each chapter. The answers to the exercises are provided at the end of the book. In addition to higher vocational and technical colleges, this book is also suitable for various adult education programs and self-study exam candidates. This textbook series is the common foundational course for university science and engineering majors—"Advanced Mathematics"—divided into two volumes. This is the second volume. Due to recent changes in the secondary school mathematics curriculum, this book fully considers the transition and connection between secondary and university mathematics during the writing process. While maintaining the scientific and complete theoretical system of traditional textbooks, it focuses on fundamental concepts and theories, emphasizes mathematical applications, and appropriately incorporates the ideas and methods of mathematical modeling and experiments, as well as introduces new examples. This approach not only stimulates students' interest in learning but also strengthens the cultivation of thinking, methods, abilities, and skills, while reducing the emphasis on mathematical techniques. Additionally, the book fully considers the characteristics of students at different levels to meet the teaching needs of a broad range of general higher vocational and technical colleges. This book primarily includes: Vector Algebra, Space Analytic Geometry, Multivariable Calculus, Multiple Integrals, Line and Surface Integrals, Infinite Series and Differential Equations. Each chapter is equipped with a sufficient number of examples and exercises, and appropriate comprehensive practice problems are arranged for each chapter, with answers to the exercises provided at the end of the book. After the preface, the book also includes "A Word to Teachers" and "A Word to Students" to help teachers and students better understand and use the book. In addition to higher vocational and technical colleges, this book is also suitable for various adult education programs and self-study exam candidates, and it can provide a systematic review for students who have already studied advanced mathematics.