Introduction to Advanced Mathematics Methods. Volume 1

Author: He Weili
Publisher:
Publish Date: 2004-02-01
Features: This book is one of the "University Mathematics Series," divided into two volumes. This is the first volume, covering the following content: Functions, Limits, Continuity, Differential Calculus of Univariate Functions and Applications, Mean Value Theorems, Taylor's Formula, Proofs of Inequalities, Integral Calculus of Univariate Functions and Applications, Vector Algebra, and Spatial Analytic Geometry. The first volume consists of 15 lectures, each divided into four parts: Part 1 lists the basic concepts, theorems, and formulas used in each lecture, concise and detailed for easy learning; Part 2 features selected examples, which are fundamental and typical, diverse yet non-repetitive, illustrating problem-solving approaches and summarizing methods; Part 3 provides selected exercises with representative problems for readers to practice; Part 4 offers answers and hints, with hints for more challenging problems and full solutions for particularly difficult ones, allowing readers to compare and reinforce their knowledge. This book can serve as a reference for students of various higher vocational and technical colleges studying advanced mathematics, as well as a review guide for those preparing for the postgraduate entrance examination in mathematics and higher mathematics competitions.