Advanced Mathematics. Engineering Category

Author: Xu Bing
Publisher:
Publish Date: 2002-03-01
Features: This book is a review guide for the "Advanced Mathematics" subject of the postgraduate entrance examination for engineering students. The author has been involved in grading teaching papers for postgraduate entrance examinations and teaching in postgraduate entrance examination tutoring classes for many years, deeply understanding the difficulties and confusions of examinees. The author combines their teaching experience with the realities of examinees and the exam to refine, summarize, and generalize, and presents this book to the readers, aiming to improve the mathematical level and exam scores of postgraduate entrance examinees. The book is closely aligned with the teaching syllabi of the first and second-year postgraduate entrance examinations, closely matching practical exam requirements, with rich content. The book is divided into eight chapters, including: Functions, Limits, and Continuity, Differential Calculus of Univariate Functions, Integral Calculus of Univariate Functions, Vector Algebra and Space Analytic Geometry, Differential Calculus of Multivariate Functions, Integral Calculus of Multivariate Functions, Infinite Series, and Ordinary Differential Equations, etc. The book has an innovative structure. Each chapter is organized according to exam requirements, covering Review Points (key definitions, theorems, and formulas), Analysis of Typical Examples, and Practice Exercises. The book presents concepts concisely, with clear problem-solving approaches. It explains typical examples from multiple perspectives, angles, and with various methods, emphasizing the understanding of fundamental concepts, training in multiple types of basic problems, and the development of comprehensive problem-solving skills. It serves as an excellent review guide and a good teacher and friend for postgraduate entrance examinees. This book can also be used as a reference book for undergraduate students in engineering and science disciplines, as well as for junior college students and self-taught students studying "Advanced Mathematics."