Aspects of Calculus (Undergraduate Texts in Mathematics)

In a first calculus course, students typically are exposed to a watered down version of calculus, with little or no emphasis on basic concepts. Students must make a large leap from such a course to a rigorous, substantive analysis course, and it is the purpose of this book to aid such a transition. While examining the fundamental concepts of calculus, the author stresses motivation and stimulating examples, and endeavors to let the student discover for himself something about the nature of calculus. The exercises are often provided with helpful hints and, in some cases, with outlined solutions.