Calculus

This Sixth Edition of Calculus continues the effort to promote courses in which understanding and computation reinforce each other. Calculus: Multivariable 6th Edition reflects the many voices of users at research universities, four-year colleges, community colleges, and secondary schools. This new edition has been streamlined to create a flexible approach to both theory and modeling. For instructors wishing to emphasize the connection between calculus and other fields, the text includes a variety of problems and examples from the physical, health, and biological sciences, engineering and economics. In addition, new problems on the mathematics of sustainability and new case studies on calculus in medicine by David E. Sloane, MD have been added.

Chapter 12: Functions of Several Variables Chapter 13: A Fundamental Tool: Vectors Chapter 14: Differentiating Functions of Several Variables Chapter 15: Optimization: Local and Global Extrema Chapter 16: Integrating Functions of Several Variables Chapter 17: Parameterization and Vector Fields Chapter 18: Line Integrals Chapter 19: Flux Integrals and Divergence Chapter 20: The Curl and Stokes’ Theorem Chapter 21: Parameters, Coordinates, and Integrals