Vectors & tensors are among the most powerful problem-solving tools available with applications ranging from mechanics & electromagnetics to general relativity. Understanding the nature & application of vectors & tensors is critically important to students of physics & engineering. Adopting the same approach used in his highly popular A Students Guide to Maxwells Equations Fleisch explains vectors & tensors in plain language. Written for undergraduate & beginning graduate students the book provides a thorough grounding in vectors & vector calculus before transitioning through contra & covariant components to tensors & their applications. Matrices & their algebra are reviewed on the books supporting website which also features interactive solutions to every problem in the text where students can work through a series of hints or choose to see the entire solution at once. Audio podcasts give students the opportunity to hear important concepts in the book explained by the author.