Engineering Mathematical Analysis (Second Edition), Volume 1

Author: Li Da Hua et al.
Publisher:
Publish Date: 2004-08-01
Features: This is the second edition, revised in accordance with the teaching requirements and practices of key universities in China. The first part covers calculus of single-variable functions and differential equations, while the second part includes spatial analytical geometry, calculus of multivariable functions, and infinite series. At the end of each section, there are answers and hints to exercises. Compared to general engineering textbooks on "Advanced Mathematics," this book appropriately supplements topics such as the fundamental theorem of real numbers, uniform continuity, uniform convergence, and parameter-dependent integrals, strengthening the theoretical foundation of calculus. It emphasizes the explanation and application of mathematical ideas like infinitesimal analysis, while also placing demands on logical rigor, strictness, and abstraction in mathematical reasoning. Modern mathematical language, terminology, and symbols are introduced to assist readers in further studying modern mathematical theories and methods. Additionally, it focuses on training students' awareness of engineering applications, cultivating their ability to use mathematics to solve real-world problems. The book is well-structured, logically clear, easy to understand, features exemplary examples, tiered exercises, and is highly readable, making it convenient to use. It is suitable for science and engineering majors (non-mathematics) with higher mathematical requirements. If some content is omitted, it is also fully suitable for general engineering majors.