The material in the book covers the topics needed for a course in Cartesian Vectors and Tensors with applications to Geometry and Theory of Relativity. The subject matter is presented here in six chapters of which the first one deals with the vector algebra. Derivation of vector-valued functions is considered in Chapter 2. The Chapter 3 briefly mentions about the vectors in electric and magnetic fields. The next two chapters are devoted to the detailed discussion of Cartesian Tensors. Chapter 5 includes the Tensors in cylindrical and spherical coordinates. The last chapter presents a brief introduction of Theory of Relativity.For more details, please visit https://centralwestpublishing.com