Integration is treated before differentiation — this is a departure from most modern texts, but it is historically correct, and it is the best way to establish the true connection between the integral and the derivative.

In the text, the author addresses 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 including complete ...

The text is problem driven with exceptional exercises based on real world applications from engineering, physics, life sciences, and economics.

The text includes a large number of examples, exercises, cases, and applications for students to learn calculus well. Also included is the history and development of calculus. The book is divided into five parts.

Selected papers reprinted from American mathematical monthly (Volumes 1 - 75) and Mathematics magazine (Volumes 1 - 40).

· Some Basic Concepts Of The Theory Of Sets · A Set Of Axioms For The Real Number System · Mathematical Induction, Summation Notation, And Related Topics · The Concepts Of The Integral Calculus · Some Applications Of Differentiation · ...

This book is an expanded version of Calculus: Early Transcendentalsby the same authors, with an entire chapter devoted to differential equations, additional sections on other topics, and additional exercises in most sections.

This new edition, like the first, presents a thorough introduction to differential and integral calculus, including the integration of differential forms on manifolds.

Advanced Calculus of Several Variables provides a conceptual treatment of multivariable calculus. This book emphasizes the interplay of geometry, analysis through linear algebra, and approximation of nonlinear mappings by linear ones.