The definition of limits is now consistent with the definition in multivariable domains later in the text and with more general mathematical usage. Clarified definition of limits to allow for arbitrary domains.Added definition of average speed in 2.1.
Removed peripheral material on regression, along with associated exercises.
Shortened 1.4 to focus on issues arising in use of mathematical software and potential pitfalls.All chapters have been revised for clarity, consistency, conciseness, and comprehension.New annotations within examples (in blue type) guide the student through the problem solution and emphasize that each step in a mathematical argument is rigorously justified.Short URLs have been added to the historical marginnotes, allowing students to navigate directly to online information.The new exercises provide different perspectives and approaches to each topic. New types of homework exercises, including many geometric in nature, have been added.See, for instance, Example 3 in Section 9.1, which helps students overcome a conceptual obstacle. New examples and figures have been added throughout all chapters, many based on user feedback.Updated graphics emphasize clear visualization and mathematical correctness.
Co-authors Joel Hass and Chris Heil reconsidered every word, symbol, and piece of art, motivating students to consider the content from different perspectives and compelling a deeper, geometric understanding.