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.
This book covers the standard material for a one-semester course in multivariable calculus.
The ideas of multivariable calculus are presented in a context that is informed by their non-mathematical applications.
In the text, the author includes all of the standard computational material found in the usual linear algebra and multivariable calculus courses, and more, interweaving the material as effectively as possible, and also includes complete ...
The only prerequisite for this text is a course in one-variable calculus.
z This next example similarly shows how one can visualize a surface without using graphing software. ... Now set z = 0. This simplifies to the subset satisfying x2 + y2 = a2 which is a curve (circle) in the xy-plane.
This text in multivariable calculus fosters comprehension through meaningful explanations.
Appropriate for the third semester in the college calculus sequence, the Fourth Edition of Multivarible Calculus maintains student-friendly writing style and robust exercises and problem sets that Dennis Zill is famous for.
The text is problem driven with exceptional exercises based on real world applications from engineering, physics, life sciences, and economics.
Basic Multivariable Calculus
Technology Window Computer software is now available for graphing functions of two variables . Software packages such as Mathematica , Maple , and Derive will do very sophisticated graphs in three dimensions . Software usually allows a ...