Synopsis This is an excellent book which will help you to learn, or to review, vector calculus from the basics through to the most abstract versions of Stroke's Theorem. It is a super textbook that could help the teacher to design courses and provide examples, exercises and problems. It would be suitable for a level students studying vectors and three dimensional geometry as well as students at university studying vector calculus itself, or some applications. This book covers the material in a complete but concise manner. There are many diagrams to illustrate the physical meaning of the mathematical concepts, which is essential for a full understanding of the subject. Each chapter concludes worked examples. The final chapter introduces some of the most important applications of vector calculus, including mechanics and electromagnetism.