Fundamentals of Engineering Mathematics Analysis - Part 2

Author: Ma Zhi'en
Publisher:
Publish Date: 1999-01-01
Features: This book can be used as a textbook for undergraduate students in non-mathematics majors of higher-level science and engineering colleges with higher mathematical requirements, and is also suitable for students from other majors and general readers. It is a research outcome of the Ministry of Education's "Reform Plan for Teaching Content and Curriculum Systems in Higher Education Towards the 21st Century," serving as a 21st-century curriculum textbook and the "Nineth Five-Year Plan" teaching material for engineering mathematics under the Ministry of Education. It is also a national key textbook for general higher education under the "Nineth Five-Year Plan" and is published in two volumes. Chapters 1-4 are in the first volume, covering main topics such as single-variable calculus and infinite series. Chapters 5-8 are in the second volume, covering main topics such as multivariable calculus, systems of ordinary differential equations, and an introduction to infinite-dimensional analysis. This book explains the theory of limits based on the completeness of real numbers, introduces concepts like uniform continuity, uniform convergence, and parameter-dependent integrals to broaden and strengthen the foundation. It uses algebraic knowledge such as vectors and matrices to express relevant analytical content, studies systems of differential equations and spatial curves and surfaces. It employs modern mathematical language, terminology, and symbols, providing a window for learning modern mathematics and an interface for further development. The scope of applied examples is expanded, emphasizing the explanation of mathematical thinking methods and strengthening the cultivation of applied mathematical abilities. Exercises are divided into two categories, A and B, and are accompanied by comprehensive practice questions. Solutions and hints to the exercises are provided at the end of the book.