Calculus: Single and Multivariable, 6th Edition continues the effort to promote courses in which understanding and computation reinforce each other. The 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. The text includes a variety of problems and examples from the physical, health, and biological sciences, engineering and economics; emphasizing the connection between calculus and other fields. 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.
(This is a review of the regular textbook, as goodreads does not have a page for that text and most results for this book on goodreads refer to this page)
This is a very poor textbook. As a student it is very hard to judge, in the moment, if what your learning is poor. It isn't until after you read other texts on the subject that you begin to see what is the worth of a text. The definitions in this text are often imprecise and when students apply them often lead to unwarranted mistakes due to imprecision. Tools for students should be employed in a way to allow them to tackle topics they've never seen before. These tools do not consistently exist in this text. Important mathematical topics are rushed while others are dragged out. For example in chapter 9. Sections 1 through 3 cover topics that could have been covered in 1 or 2, while section 4, arguably the most important in the chapter could have been expanded upon. Stewart and Spivak are much better texts on the subject in my experience.
The text alright for a first course in calculus. I find the order of material a little odd at times. Further, much space is expended on topics that are not what I think are the main ones. The book is geared towards a science major. A maths major will feel frustrated at the lack of "meat". If you need a massive calculus book then Stewart is better.