Calculus teachers recognize Calculus as the leading resource among the "reform" projects that employ the rule of four and streamline the curriculum in order to deepen conceptual understanding. The fifth edition uses all strands of the "Rule of Four" - graphical, numeric, symbolic/algebraic, and verbal/applied presentations - to make concepts easier to understand. The book focuses on exploring fundamental ideas rather than comprehensive coverage of multiple similar cases that are not fundamentally unique.
Calculus can be taught as nothing but rules and procedures--losing sight of both the mathematics and its inherent practical value. In 1989, the Calculus Consortium based at Harvard was formed to create a completely new calculus curriculum. A part of their endeavor is this textbook, which presents a radically different approach to the teaching and learning of the subject. The two guiding principles: 1) every topic should be presented geometrically, numerically, and algebraically; and 2) formal definitions and procedures evolve from the investigation of practical problems (the way of Archimedes). Annotation c. Book News, Inc., Portland, OR (booknews.com)