This Sixth Edition of Calculus continues the effort to promote courses in which understanding and computation reinforce each other. Calculus: Single and 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.
Calculus is one of the greatest achievements of the human intellect. Inspired by problems in astronomy,
Newton and Leibniz developed the ideas of calculus 300 years ago. Since then, each century has demonstrated
the power of calculus to illuminate questions in mathematics, the physical sciences, engineering, and the
social and biological sciences.
Calculus has been so successful both because its central theme—change—is pivotal to an analysis of the
natural world and because of its extraordinary power to reduce complicated problems to simple procedures.
Therein lies the danger in teaching calculus: it is possible to teach the subject as nothing but procedures—
thereby losing sight of both the mathematics and of its practical value. This edition of Calculus continues
our effort to promote courses in which understanding and computation reinforce each other.
