Advanced Mathematics (Engineering). Volume 1

Author: Tang Ruina, Li Chunhai
Publisher:
Publish Date: 2006-01-23
Features: This book is divided into two volumes, containing a total of 5 parts and 16 chapters. The first volume includes 2 parts on calculus and ordinary differential equations, covering 9 chapters on functions, limits and continuity, derivatives and differentials, applications of derivatives, indefinite integrals, definite integrals, applications of definite integrals, and calculus of binary functions as well as ordinary differential equations. The second volume includes 3 parts on Laplace transforms and infinite series, basic linear algebra, and probability theory and mathematical statistics, featuring 7 chapters on Laplace transforms, infinite series, determinants, matrices, systems of linear equations, probability theory, and an introduction to mathematical statistics. Each chapter is accompanied by a certain number of exercises, and answers to all exercises are provided at the end of each volume. This book is designed to align with the practical content of secondary school textbooks and the new curriculum reform in high schools, with a moderate starting point, clear emphasis on key content, and well-structured layers. The modular arrangement facilitates selective teaching, and the exercises are thoughtfully matched to the text with appropriate difficulty levels. The language is concise, well-organized, easy to understand, and suitable for self-study. This book can serve as a higher mathematics textbook for engineering majors in vocational and technical colleges, adult education institutions, or as a self-study reference for students majoring in mathematics.