Explore the foundations of vector analysis with a classic guide that clarifies vectors, scalars, and their powerful relationships.
This non-fiction text offers a clear introduction to the algebra of vectors, including how vectors are defined, manipulated, and represented. It explains the distinction between vectors and scalars, the rules for adding and subtracting vectors, and how to describe vectors with unit directions and coordinate systems. The book also introduces key ideas such as linear vector functions, dyads, and the way geometric sums relate to algebraic sums, helping readers translate geometric concepts into mathematical notation.
What you’ll encounter
- A practical framework for describing vectors in space, including basis vectors and Cartesian components
- Step-by-step treatment of vector addition, subtraction, and scalar multiplication
- An introduction to more advanced tools like dyads and linear vector function concepts
Ideal for students of physics and engineering who want a solid, historical approach to the notation and operations that underlie vector analysis.