Engineering Mathematical Analysis (Second Edition) Volume 2

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 practical needs 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 exercise answers and hints. 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 solve real-world problems using mathematics. The book is well-structured, logically organized, easy to understand, features exemplary examples, tiered exercises, and is highly readable, making it convenient for use. It is suitable for STEM (non-mathematics) majors with higher mathematical requirements, and can also be used by general engineering majors if some content is omitted.