Advanced Mathematics. Second Edition: Physics

Author: Wen Li
Publisher:
Publish Date: 2004-08-01
Features: This book can be used as a textbook or teaching reference for undergraduate students in physics, radio electronics, information science, and other departments of comprehensive universities, normal universities, and related engineering majors in universities. This textbook is based on the "Higher Mathematics Teaching Syllabus" for physics majors and is divided into three volumes. The first volume covers calculus of single-variable functions; the second volume covers spatial analytical geometry and calculus of multivariable functions; the third volume covers series, integrals with parameters, and ordinary differential equations. This set of books was first published in July 1989 and had a print run of over 30,000 copies. It is now in its revised edition. After more than ten years of teaching practice, this revision retains the strengths of the previous edition while the author has carefully and systematically integrated the content of the entire set according to the teaching requirements of the new century: some content has been adjusted, and some key content has been rewritten to make the difficulties more scattered and easier for readers to understand and master; some typical examples have been added, and some repetitive examples have been removed. For specific revision details, please see the "Preface to the Revised Edition." This book is the second volume, covering spatial analytical geometry, differential calculus of multivariable functions, multiple integrals, line integrals and surface integrals, and an introduction to field theory. This book summarizes the author's long-term teaching experience in higher mathematics for physics majors, emphasizing the introduction of concepts using typical and simple physical and geometric examples, and teaching the core content of higher mathematics—calculus—in a step-by-step manner. The book is concise, with scattered difficulties, rich examples, detailed logical derivations, and a focus on explaining the geometric meaning, physical background, and practical application value of fundamental theorems. It emphasizes basic calculations and physical applications to cultivate students' comprehensive ability to solve physical problems. According to teaching needs, the revised edition includes an appropriate number of exercises for each chapter, and answers and hints to the exercises are provided at the end of the book for the convenience of teachers and students.