Advanced Mathematics Problem Solving (Science and Engineering) (Science and Engineering)

Author: Lin Yuanqu
Publisher:
Publish Date: 2005-04-01
Features: This book strictly follows the structure of the "Examination Syllabus" and divides chapters accordingly. Each chapter consists of 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 in-depth elaboration on the examination content stipulated by the syllabus, as well as key and challenging points, aiming to help readers gain a profound understanding and comprehensive mastery of fundamental concepts, important formulas, and theorems.
Analysis of Typical Examples — This section focuses on carefully selected ( postgraduate entrance examination questions) and a batch of typical examples, summarizing various problem-solving methods. Many of these solutions are ingenious and well-thought-out, greatly benefiting readers in deeply grasping the basic content, broadening their thinking, and mastering flexible problem-solving techniques.
Self-Assessment Exercises and Reference Answers — This section includes targetedly designed problems (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 problems from other sources.
This book is part of the "Examination Experts Guidance" series on postgraduate entrance examination mathematics training, compiled in accordance with the relevant requirements of the newly revised "National Postgraduate Entrance Examination Mathematics Syllabus" by the Ministry of Education, and incorporates the author's extensive experience in participating in examination question setting, grading, and tutoring. The book is divided into eight chapters according to the syllabus: 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. Each chapter includes the four parts mentioned above: Examination Syllabus Requirements, Basic Content and Important Conclusions, Analysis of Typical Examples, and Self-Assessment Exercises with 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, possessing rich teaching and tutoring expertise. The textbooks, supplementary materials, and courses he has developed have had a significant influence on students preparing for the postgraduate entrance examination over the years.
This 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, making it suitable 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.