Advanced Mathematics

Author: Liu Shutian / Feng Cuilian / Hou Minhua (editors)
Publisher:
Publish Date: 2004-06-01
Features: This book is listed as a "Higher Education Excellent Textbook Project" by the Beijing Municipal Education Commission and serves as a fundamental textbook for "Advanced Mathematics" in higher vocational and higher technical education. It is compiled in accordance with the "Basic Requirements for Mathematics Classroom Teaching" set by the Ministry of Education for higher vocational and technical education, and incorporates the authors' extensive teaching experience in teaching "Advanced Mathematics" to students in engineering, economics, and management disciplines. The book is divided into nine chapters, covering topics such as functions, limits, continuity, derivatives and differentials, mean value theorems and applications of derivatives, indefinite integrals, definite integrals and their applications, differential equations, vector algebra and spatial analytical geometry, multivariable calculus, and infinite series. The content marked with an asterisk () is intended only for engineering students, and some sections can be optionally selected by instructors. Each chapter includes a sufficient number of exercises, and answers and hints to solutions are provided at the end of the book. A appendix contains commonly used mathematical formulas and curve graphs to facilitate student learning. This textbook is accompanied by a synchronized supplementary book, "Study Guide for Advanced Mathematics," to assist students. Tailored to students' comprehension levels and aligned with curriculum requirements, the book presents the fundamental content of "Advanced Mathematics" in an accessible manner, with clear explanations, abundant examples, intuitive diagrams, and thought-provoking material, making it suitable for self-study. It emphasizes the training of foundational knowledge and the development of comprehensive skills. This book can serve as a textbook for "Advanced Mathematics" courses for students in higher vocational and technical education in engineering, economics, and management disciplines. It can also be used as a reference for self-study, diploma examinations, or teaching materials for instructors and students in vocational colleges. For math enthusiasts, it is also an excellent self-study resource.