Hook line: A practical, teacher‑friendly introduction to vector analysis that connects math with physics and geometry. Learn how vectors describe and solve real problems with clear methods you can apply right away.
This edition presents the subject through six chapters, organized around three core adding and combining vectors, using differential and integral calculus with vector functions, and exploring linear vector functions. It emphasizes practical use over theory alone, with many illustrations from geometry, mechanics, and physics, plus summaries and exercises to reinforce understanding.
What you’ll experience
how to add, multiply, and relate vectors using simple, reliable rules. Operations in direct, scalar (dot), and vector products, plus how they interact with calculus. how vector methods explain physical phenomena and geometric relationships.
Ideal for readers of physics and mathematics who want a solid, usable approach to vector analysis that supports practical problem solving. This edition is suitable for students who know basic trigonometry and analytic geometry and want to see how vector ideas apply across disciplines.