Vector calculus is the essential language of mathematical physics, enabling the description of physical quantities in three-dimensional space and their variations. It is applicable to various physical sciences, including fluid dynamics, solid mechanics, and electromagnetism, which involve vector and scalar quantities. The book requires no prior knowledge of vectors but assumes familiarity with basic calculus concepts such as differentiation, integration, and partial differentiation, along with some linear algebra, particularly matrices and determinants. Designed for self-study, it comprises eight chapters, each introducing a new topic and emphasizing physical applications to enhance understanding. Over sixty diagrams clarify the subject's physical nature, aiding comprehension of new concepts. Each chapter includes worked examples that are crucial for developing a thorough understanding before progressing. The structure of the book builds upon earlier sections, reflecting the cumulative nature of mathematics.
