Advanced Mathematics. Multivariable Calculus and its Experiment: MATLAB

Author: Ren Yujie, Editor-in-Chief
Publisher:
Publish Date: 2005-04-01
Features: This book is a continuation of "Advanced Mathematics: Univariate Calculus and Its Experiments (MATLAB Edition)" and is divided into 6 chapters. The main content includes vector algebra and spatial analytical geometry, multivariate calculus, line integrals and surface integrals, the fundamental theories and methods of infinite series and ordinary differential equations, as well as MATLAB's symbolic interpretation, numerical solutions, and graphical display programs corresponding to each knowledge point. Each chapter of the book is arranged with demonstrations and experiments, enhancing the use of MATLAB to compute multivariate calculus, series, numerical solutions of ordinary differential equations, symbolic solutions, and graphical displays, as well as the basic content and methods of mathematical modeling. At the end of each chapter, there are topics for computer experiments. The author has incorporated a large number of MATLAB exercises and case studies developed over many years in university mathematics experiment teaching into this book, providing MATLAB numerical computation, symbolic computation, and graphical visualization programs for every aspect of advanced mathematics. Many of the exercises have scientific research and practical value. This book can be used as a textbook for advanced mathematics in engineering, science, economics, management, and other disciplines in higher education institutions. It can also be selected as a textbook for mathematical experiments and serves as a reference book for teachers, students, and engineering technicians.