Engineering Mathematics Fundamentals. Part 2

Author: Blue Imagination
Publisher:
Publish Date: 2002-01-01
Features: This book is a key teaching reform project of Tianjin University under the "Nineth Five-Year Plan." During the writing process, we paid special attention to the following points:
1. Organically integrate the content of advanced mathematics and linear algebra, and uniformly address some problems in engineering mathematics from a modern mathematical perspective (e.g., functions and transformations, limits, continuity, and differentiation concepts of unit and multivariate functions, derivatives and integrals of real-variable real-valued and complex-valued functions, etc.).
2. This book covers all the content of advanced mathematics, linear algebra, vector analysis, and field theory in engineering mathematics, as well as some basic concepts of complex analysis and methodological principles for numerical computation, along with the basic solutions of linear programming in optimization methods. Given that various disciplines require extensive knowledge but have limited class hours, the content of calculus, analytical geometry, linear algebra, differential equations, field theory, and complex analysis has been comprehensively considered. The boundaries of different branches of mathematics are broken, and the content is organized from a modern mathematical perspective to avoid repetition and reduce class hours.
3. Strive to organically combine mathematical theory with professional knowledge. This book emphasizes practical application, providing examples to illustrate new concepts and definitions as much as possible before introducing them.
4. The depth and breadth of the content are designed to meet the mathematical needs of both engineering disciplines and science and management fields. Considering the different requirements of various disciplines, some chapters are marked with an asterisk () to indicate that they are optional learning content for different majors.