Calculus of Univariate Functions and Infinite Series

Author: Wang Miansen, Ma Zhi'en
Publisher:
Publish Date: 2004-07-01
Features: "Fundamentals of Advanced Mathematics" is a national-level planning textbook for the 15th Five-Year Plan of general higher education. The book is divided into three volumes, and this is one of them. It is also a simplified version of the upper part of the author's "Fundamentals of Mathematical Analysis for Engineering," covering four chapters: the theoretical foundation of calculus, differential calculus of single-variable functions and its applications, integral calculus of single-variable functions and its applications, and infinite series. This book retains the main features of "Fundamentals of Mathematical Analysis for Engineering," appropriately reduces teaching requirements, removes some highly demanding theoretical content, strives to reveal the essence of mathematical concepts, emphasizes the teaching of mathematical thinking methods and the cultivation of application skills, strengthens basic training, and is designed to meet the teaching needs of most higher science and engineering colleges. The book has a simple and rigorous structure, rich content, moderate requirements, a wide range of applied examples, clear and insightful explanations, and is highly instructive. The exercises are divided into two categories, A and B, and are accompanied by comprehensive practice questions. The answers and hints to the exercises are provided at the end of the book. This book can be used as a textbook for undergraduate students of non-mathematics majors in higher science and engineering colleges, and can also be read by other social readers.