College Liberal Arts Mathematics: A Concise Textbook (Volume 1)

Author: Yao Mengchen (Editor)
Publisher:
Publish Date: 2004-09-01
Features: This book is compiled in accordance with the overall objectives of the teaching content and curriculum reform for higher education in the 21st century, and is also based on the author's 30 years of teaching experience in higher mathematics for liberal arts at universities such as Peking University. The book includes the main textbook A Concise Course in University Liberal Arts Mathematics (Volumes I and II) and the supplementary teaching material Solutions Manual for University Liberal Arts Mathematics. The main textbook covers the fundamental content of higher mathematics for liberal arts, including calculus, linear algebra, and probability and statistics. This book is the first volume (calculus), divided into five chapters, covering topics such as functions and limits, differential calculus of single-variable functions, mean value theorems and applications of derivatives, integral calculus of single-variable functions, and calculus of multiple-variable functions. The appendices also introduce relevant knowledge of infinite series and ordinary differential equations. Each chapter is accompanied by a sufficient number of exercises, including multiple-choice and problem-solving questions. The answers and hints to the exercises are provided at the end of the book for reference by teachers and students. This book reflects the author's rich teaching experience in teaching higher mathematics for liberal arts over the past 30 years, as well as the current concepts of teaching reform in this field. The book presents concepts clearly, with fluent and rigorous language. It addresses the characteristics of liberal arts students learning higher mathematics by not only focusing on logical symbols but also using easy-to-understand language to explain the content from multiple perspectives. The book adopts a "modular" structure, making it flexible for different majors to choose. It can serve as a foundational textbook for liberal arts majors in general universities and also as the main textbook for the "Calculus" course in the higher mathematics (Part I) self-study examination. For social science workers, this book is also a valuable reference book on mathematics.