Advanced Mathematics Review Guide -- Ideas, Methods, and Techniques

Author: Chen Wending
Publisher:
Publish Date: 2003-07-01
Features: The purpose of this book is to help readers review the content of advanced mathematics comprehensively and systematically, deeply understand the basic concepts and theories, and learn and master problem-solving methods and techniques. The goal is to enable readers to generalize and apply knowledge through analyzing problem-solving methods and techniques. Each chapter of this book introduces methods and techniques that readers want to master, are easy to master, but have not yet mastered or are fundamentally unaware of, such as the methods for finding limits of certain types; proofs of propositions related to the mean value theorem in calculus; proofs of propositions related to definite integrals and multiple integrals; proofs of inequalities; methods for summing infinite series; and the methods for finding integrating factors in ordinary differential equations, among others. All of these introduce new methods and techniques that readers have never seen before. Revised according to the current characteristics of exams and the development trend of question setting, this book will be more suitable for a broader readership, especially those preparing for postgraduate entrance exams. This book can serve as a reference for undergraduate, junior college, radio and television university, evening university, and vocational college students, as well as for young teachers and scientific and technological workers.