Striking a balance between concepts, modeling, and skills, this highly acclaimed book arms readers with an accessible introduction to calculus. It builds on the strengths from previous editions, presenting key concepts graphically, numerically, symbolically, and verbally. Guided by this innovative Rule of Four approach, the fourth edition examines new topics while providing readers with a strong conceptual understanding of the material.
Focusing on a limited number of topics in more depth than is perhaps customary in a calculus text, this volume emphasizes the meaning, in practical, graphical, and numerical terms, of the symbols used. Chapters cover functions, the derivative and the definite integral, short-cuts to differentiation, using the derivative, constructive antiderivatives, integration, using the definite integral, approximations and series, differential equations, functions of several variables, vectors, differentiating functions of many variables, optimization, integrating functions of many variables, parameterized curves, vector fields, line integrals, flux integrals, and calculus of vector fields. Includes short answers to odd-numbered problems at the back of the book. Annotation c. by Book News, Inc., Portland, Or.