Calculus Problem Solving (Economic Category) ((Economic Category) (4th Edition) - Graduate Entrance Exam Mathematics Special Training Series)

Author: Liu Xiyuan
Publisher:
Publishing Date: 2005-03-01
Features: This book strictly follows the structure of the "Examination Syllabus" and is divided into chapters. Each chapter includes four parts:
Examination Syllabus Requirements — This section provides a verbatim introduction to the syllabus's stipulations on the chapter's examination content and requirements, giving readers a comprehensive overview.
Basic Content and Important Conclusions — This section offers a meticulous summary and thorough elaboration on the examination content and key points, aiming to help readers gain an in-depth understanding and comprehensive mastery of relevant basic concepts, important formulas, and theorems.
Analysis of Typical Examples — This section focuses on carefully selected ( postgraduate entrance examination questions) and a set of typical examples, summarizing various problem-solving methods. Many of the solutions are ingenious and well-thought-out, greatly benefiting readers in deeply grasping the basic content, broadening their thinking, and becoming flexible in problem-solving.
Self-Assessment Exercises and Reference Answers — This section specifically arranges several questions (with answers provided) for readers to use as self-assessment exercises. Due to the book's limited length, the number of exercises provided may not fully meet the needs of preparation. To effectively review for the research entrance examination, readers may need to obtain additional questions from other sources.
This book is part of the "Examination Experts Guidance" series of postgraduate entrance examination training books in mathematics. It is compiled in accordance with the relevant requirements of the newly issued "National Postgraduate Entrance Examination Mathematics Syllabus" by the Ministry of Education and incorporates the author's extensive experience in participating in exam question-setting, grading, and tutoring. The book is divided into six chapters according to the syllabus: Functions, Limits, and Continuity, Differential Calculus of Univariate Functions, Integral Calculus of Univariate Functions, Differential Calculus of Multivariate Functions, Infinite Series, and Ordinary Differential Equations and Difference Equations. Each chapter includes the same four parts: Examination Syllabus Requirements, Basic Content and Important Conclusions, Analysis of Typical Examples, and Self-Assessment Exercises and Reference Answers.
The author is a renowned professor at Peking University with years of experience in teaching fundamental mathematics and participating in postgraduate entrance examination tutoring. They possess rich teaching and tutoring expertise, and the textbooks, supplementary materials, and courses they have developed have had a significant impact on students preparing for the exam over the years. The book features a large volume of questions, a wide variety of question types, broad coverage, and a well-balanced distribution of difficulty levels and cognitive levels. It can serve as a teaching material for postgraduate entrance examination tutoring classes or as a self-study guide for candidates. It is also an excellent learning resource or reference book for undergraduate students and mathematicians.