The new early transcendentals version presents the logarithmic, exponential and other transcendental functions before the definite integral so these topics can be taught early in the course. This organization allows the authors to provide interesting applications which include transcendental functions in the material on applications of the derivative, integration and applications of the integral. The latest edition incorporates modern technology and recent trends without sacrificing the acknowledged strengths of previous versions. Contains over 1300 new problems as well as more illustrations. Fresh technology-based examples support numerous exercises requiring the use of a graphics calculator or other graphing software.

This introductory text leads students through the foundations of calculus. End-of-chapter problems new to this edition require the use of graphing calculators, or a package such as Mathematica, Maple or Derive. Material is included on the parametric representation of surfaces and Kepler's laws.

Includes index.

The latest edition of this bestselling textbook uses a clear and rigorous approach to explain multivariate calculus. Incorporates the concepts of a vector field, emphasizing the major applications of vector analysis to physics and engineering. New material includes Jacobians, parametric representations of surfaces, Kepler's law, conics in polar coordinates, and integrals with respect to arc length. The technological exercises consist of problems that arise in the existing world, challenging students to develop a problem-solving strategy appropriate for the technology available to them.