Advanced Mathematics·Volume 1: Physics

Author: Wen Li Wu Liangda
Publisher:
Publish Date: 2004-08-01
Features: This is a college mathematics textbook compiled based on the teaching syllabus for advanced mathematics in physics. The entire book is divided into three volumes. The first volume includes calculus of single-variable functions; the second volume covers calculus of multi-variable functions; the third volume includes infinite series and ordinary differential equations. This set was first published in July 1989 and had a print run of over 30,000 copies. It is now a revised edition. After more than ten years of teaching practice, this revision retains the strengths of the previous edition while the authors have carefully and systematically integrated the content of the entire book in line with the teaching requirements of the new century: some content has been rewritten to make the difficulties more dispersed, facilitating readers' understanding and mastery; additional typical examples have been added, and some repetitive examples have been removed. For specific revision details, please refer to the "Preface to the Revised Edition." This book is the first volume, covering topics such as functions, limits, derivatives, differentials, indefinite integrals, definite integrals, and their applications. This book summarizes the authors' long-term teaching experience in advanced mathematics for physics, emphasizing the introduction of mathematical concepts using typical and simple physical and geometric examples, and teaching the core content of advanced mathematics—calculus—in a step-by-step manner. The book is concise in its narration, with difficulties dispersed, abundant 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 physics problems. According to teaching needs, the revised edition includes an appropriate number of exercises for each chapter, which are categorized into Group A (easier) and Group B (more challenging). The answers and hints to the exercises are provided at the end of the book for the convenience of both teachers and students. This book can be used as a textbook or teaching reference for undergraduate students in physics, radio electronics, information science, and related disciplines at comprehensive universities, higher normal universities, and engineering universities.