Synopses & Reviews
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.
Synopsis
The new edition exhibits the same strengths from earlier editions including the Rule of Four, an emphasis on modeling, exposition that students can read and understand and a flexible approach to technology.
* The conceptual and modeling problems, praised for their creativity and variety, continue to motivate and challenge students.
About the Author
Deborah Hughes-Hallett, University of Arizona
William G. McCallum, University of Arizona
Andrew M. Gleason, Harvard Universityet al.
Table of Contents
Functions of Several Variables.
A Fundamental Tool: Vectors.
Differentiating Functions of Several Variables.
Optimization: Local and Global Extrema.
Integrating Functions of Several Variables.
Parameterization and Vector Fields.
Line Integrals.
Flux Integrals.
Calculus of Vector Fields.
Appendix A: Root, Accuracy, and Bounds.
Appendix B: Polar Coordinates.
Appendix C: Complex Numbers.
Appendix D: Newton's Method.
Appendix E: Determinants.
Ready Reference.
Answers to Odd Numbered Problems.
Index.