Advanced Mathematics

Author: Yang Xia
Publisher:
Publish Date: 2005-10-01
Features: This book is written based on a thorough analysis of the syllabus for the full-time non-computer major promotion examination. It adopts a learning-by-doing approach, providing in-depth explanations and exercises on key and essential knowledge points. It helps candidates conduct effective review and consolidation, enabling them to adapt to the exam and break through in a short period of time. The arrangement of chapters in the book aligns with the latest exam syllabus. The main content covered includes: functions, limits and continuity, differential calculus of single-variable functions, integral calculus of single-variable functions, vector algebra and spatial analytical geometry, differential calculus of multivariable functions, partial differential calculus of multivariable functions, infinite series, and ordinary differential equations. Each chapter of the book is divided into six sections: knowledge structure analysis, essence of knowledge, example analysis, immediate practice, unit test questions, and reference answers.
Knowledge Structure Analysis: This section summarizes the key points of the chapter in a framework format, helping candidates quickly form a knowledge system, improve their review efficiency, and overcome difficulties.
Essence of Knowledge: Based on the latest exam syllabus, this section systematicallys key and important points, providing detailed explanations.
Example Analysis: This section conducts a thorough and in-depth analysis of classic questions from previous years in various provinces, with each example being highly representative.
Immediate Practice and Unit Tests: Through appropriate exercises, candidates can quickly grasp the key and essential knowledge points, effectively identify gaps and strengthen their understanding, achieving the effect of learning from one example to understand many.
Additionally, the book includes multiple sets of comprehensive simulation test questions at the end, all of which are experience summaries from promotion exam guidance teachers. After years of practice, these simulation questions have become highly targeted classics and are deeply favored by candidates.