Single & Multivariate Calculus by Hughes, Gleason & MacCallum

Sixth edition of complete “Single and Multivariate Calculus” book covering all topics included in undergraduate Calculus 1, 2 & 3 written by Hughes Hellet, Willian G. Maccallum, and Andrew M. Gleason from university of Arizona and Harvard.

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 mathematics and its practical value. This edition of Calculus continues our effort to promote courses in which understanding and computation reinforce each other.

From the beginning, “Single and Multivariate Calculus” grew out of a community of mathematics instructors eager to find effective ways for students to learn calculus. This Sixth Edition of Calculus reflects the many voices of users at research universities, four-year colleges, community colleges, and secondary schools. Their input and that of our partner disciplines, engineering, and the natural and social sciences, continue to shape our work.

This content represents our vision of how calculus can be taught. It is flexible enough to accommodate individual course needs and requirements. Topics can easily be added or deleted, or the order changed.