物理学家用的数学方法（第7版）

This seventh edition of Mathematical Methods for Physicists continues the tradition set by the previous six editions in presenting comprehensive mathematical methods for aspiring scientists and engineers. The book starts with mathematical preliminaries such as infinite series, binomial theorem, vectors, complex numbers and functions, and evaluation of integrals. Determinants and matrices, vector analysis, tensors and differential forms, and vector spaces are extensively covered. The book also features topics such as eigenvalue problems, ordinary differential equations, Sturm-Liouville theory, partial differential equations, Green's functions, complex variable theory, probability and statistics, and more. The book provides a complete and in-depth presentation of the mathematical methods and theories that a physics student may need to learn. It covers the theories and mathematical formulas in a clear and concise manner, with each section building upon the previous. The use of numerous examples helps to illustrate how mathematics applies to real-world physics problems. There are also a large number of exercises throughout the book that enable students to test their understanding of the concepts presented. Overall, this book is an essential resource for physics students and researchers who want to develop their mathematical skills for scientific inquiry.