Advanced Mathematics (Tongji New Edition) Comprehensive Explanation and Practice

Author: Luo Limin
Publisher:
Publish Date: 2001-09-01
Features: This book is a teaching aid for learning advanced mathematics, written in conjunction with the new edition of "Advanced Mathematics" by Tongji University. The book consists of twelve chapters, covering topics such as calculus of single-variable functions, spatial analytical geometry, calculus of multivariable functions, series, and differential equations. Each chapter is divided into two parts: basic content and problems with solutions. The types of problems include true/false questions, multiple-choice questions, computational problems, proof problems, and applied problems. The solutions are detailed and diverse, making it convenient for self-study. The book is divided into four units, with three sets of test questions with answers and grading standards provided at the end of each unit. At the end of the book, there are , final exam questions for the second semester of advanced mathematics, as well as the 1999 and 2000 national postgraduate entrance examination math (I) papers and reference answers. This book can serve as a teaching aid for science and engineering students studying advanced mathematics, as well as a reference for self-study of advanced mathematics. There are many methods for differentiation, such as using the definition of differentiation, using derivative operation rules and basic elementary function derivative formulas, using derivative rules for composite and inverse functions, logarithmic differentiation, implicit function differentiation, parametric equation differentiation, and methods for finding higher-order derivatives, etc.