Numerical Analysis

Internationalization of mathematics education has become an inevitable trend, and bilingual education is a booster for achieving internationalization of mathematics education. Due to the vast territory of our country, there are significant differences in the foreign language proficiency and mathematical thinking ability of students in different regions and universities. Therefore, we cannot blindly establish unified standards for all mathematics courses in universities and choose some mathematics courses as bilingual teaching objects. In terms of content, "Numerical Analysis" is the most ideal choice for implementing bilingual education, and numerical analysis originates from practice. It is a discipline with a systematic theoretical system and is widely used as a powerful tool in many natural science fields such as automation control, communication and control, and electronic engineering. This book is divided into six chapters, which systematically introduces the basic theory and methods of numerical analysis, including mathematical foundations and error analysis, calculus review, error sources and precision control, direct/iterative methods for solving systems of linear equations, interpolation and polynomial approximation, curve fitting, numerical differentiation and integration, convergence, and precision. This book is suitable for teachers and students of science and engineering major in colleges and universities all over the country, and can also be read and referenced by engineering and technical personnel.

Internationalization of mathematics education has become an inevitable trend, and bilingual education is a booster for achieving internationalization of mathematics education. Due to the vast territory of our country, there are significant differences in the foreign language proficiency and mathematical thinking ability of students in different regions and universities. Therefore, we cannot blindly establish unified standards for all mathematics courses in universities and choose some mathematics courses as bilingual teaching objects. In terms of content, "Numerical Analysis" is the most ideal choice for implementing bilingual education, and numerical analysis originates from practice. It is a discipline with a systematic theoretical system and is widely used as a powerful tool in many natural science fields such as automation control, communication and control, and electronic engineering. This book is divided into six chapters, which systematically introduces the basic theory and methods of numerical analysis, including mathematical foundations and error analysis, calculus review, error sources and precision control, direct/iterative methods for solving systems of linear equations, interpolation and polynomial approximation, curve fitting, numerical differentiation and integration, convergence, and precision. This book is suitable for teachers and students of science and engineering major in colleges and universities all over the country, and can also be read and referenced by engineering and technical personnel.